Singularities of Geometric Partial Differential Equations
Lead Research Organisation:
University of Warwick
Department Name: Mathematics
Abstract
This proposal sits within a field of great scope, stretching from some of the most fundamental problems in physics, to current practical issues in engineering, to some of the most powerful modern techniques in topology and geometry. Although these topics are all very different, it has become apparent that many of the biggest future developments in each area will require overcoming key research challenges that are remarkably similar. It is these challenges that we will address in this proposed research.
At the heart of each of the topics above lie Geometric Partial Differential Equations (PDE). Each of these equations could be perhaps a law of physics, or an equation modelling an industrial process, or more abstractly, a rule under which a geometric object can be processed in order to improve it. Smooth solutions to Geometric PDE have been extremely successful in applications to pure and applied problems, but the equations are generally nonlinear, and it is therefore typical that singularities will occur in solutions. The next generation of applications, with extensive potential impact, require us to transform our understanding of these singularities that develop. We must understand when and why they occur, their structure and stability, and how they encode what the PDE is doing. We must analyse to what extent they break the classical theory of smooth solutions, and what effects this has. These are the main challenges of this proposal, and we have compiled a team to address them with complementary expertise in singularity analysis and experience of applying geometric PDE across subjects such as Mathematical Relativity, Geometric Flows and Minimal Surfaces.
In Mathematical Relativity, one sees singularities in solutions of the Einstein equations, first written down by Einstein in 1915 as the fundamental equations of the large-scale universe. Progress in the research challenges we propose will have potentially major impact in some of the most famous open problems in this field such as the Cosmic Censorship Conjectures, and the Black Hole Stability Problem.
We also find singularities in the field of Geometric Flows, by which we mean the evolution equations of `parabolic' type that are currently being so successful in applications to geometry, topology and engineering, and in modelling phenomena in physics and biology. The most famous application in recent years has been the resolution of the Poincaré conjecture, which was named by the journal `Science' as the scientific `Breakthrough of the year, 2006,' but is considered by many to be the greatest achievement of mathematics in the past 100 years. The research challenges we propose are central to future applications of these equations, whether we are using them to classify manifolds with a certain curvature condition, or manipulate an image from a medical scanner.
Intimately connected with these two subjects is the theory of Minimal Surfaces. These surfaces have been historically used to model soap films, but the general theory has developed into a powerful tool with applications to a wide range of subjects from black holes to topology. In this direction, we are particularly interested in applying progress on the research challenges of this proposal to unravel the connection between the existence of higher-index minimal surfaces and the singularities that occur in flows and variational problems that are designed to find them.
At the heart of each of the topics above lie Geometric Partial Differential Equations (PDE). Each of these equations could be perhaps a law of physics, or an equation modelling an industrial process, or more abstractly, a rule under which a geometric object can be processed in order to improve it. Smooth solutions to Geometric PDE have been extremely successful in applications to pure and applied problems, but the equations are generally nonlinear, and it is therefore typical that singularities will occur in solutions. The next generation of applications, with extensive potential impact, require us to transform our understanding of these singularities that develop. We must understand when and why they occur, their structure and stability, and how they encode what the PDE is doing. We must analyse to what extent they break the classical theory of smooth solutions, and what effects this has. These are the main challenges of this proposal, and we have compiled a team to address them with complementary expertise in singularity analysis and experience of applying geometric PDE across subjects such as Mathematical Relativity, Geometric Flows and Minimal Surfaces.
In Mathematical Relativity, one sees singularities in solutions of the Einstein equations, first written down by Einstein in 1915 as the fundamental equations of the large-scale universe. Progress in the research challenges we propose will have potentially major impact in some of the most famous open problems in this field such as the Cosmic Censorship Conjectures, and the Black Hole Stability Problem.
We also find singularities in the field of Geometric Flows, by which we mean the evolution equations of `parabolic' type that are currently being so successful in applications to geometry, topology and engineering, and in modelling phenomena in physics and biology. The most famous application in recent years has been the resolution of the Poincaré conjecture, which was named by the journal `Science' as the scientific `Breakthrough of the year, 2006,' but is considered by many to be the greatest achievement of mathematics in the past 100 years. The research challenges we propose are central to future applications of these equations, whether we are using them to classify manifolds with a certain curvature condition, or manipulate an image from a medical scanner.
Intimately connected with these two subjects is the theory of Minimal Surfaces. These surfaces have been historically used to model soap films, but the general theory has developed into a powerful tool with applications to a wide range of subjects from black holes to topology. In this direction, we are particularly interested in applying progress on the research challenges of this proposal to unravel the connection between the existence of higher-index minimal surfaces and the singularities that occur in flows and variational problems that are designed to find them.
Planned Impact
A substantial part of the wider economic and societal impact of this proposal will be delivered via other academic research that requires the technology we propose to develop. Our impact in this direction will enhance the effectiveness of UK universities themselves, in addition to boosting their relevance and sustainability. It will keep them up-to-date with modern developments in research in addition to taking them out into the lead in the topics in which we specialise.
A large proportion of the research in this proposal concerns nonlinear partial differential equations, which are central to the financial sector (e.g. to correctly price derivative securities), which in turn accounts for one third of current UK GDP. As a result, members of our groups are in heavy demand by the financial industry and a flow of mathematicians trained in this area is currently essential for the economic prosperity of the nation.
This flow of mathematicians trained in fields that are highly relevant to many other disciplines, such as the fields in this proposal, are also essential to make the UK a fertile area for completely new industries to emerge. It is virtually impossible to give accurate predictions as to the applications, but it is important to consider how companies such as Google have been able to transform mathematical ideas into great economic success, and it is essential that we create an environment in the UK where such development can occur. Our proposal will help achieve this by bringing a critical mass of bright people together, developing them in relevant technology, and where possible, giving them the freedom to innovate.
Mathematicians trained in geometric analysis are also in heavy demand from research institutions at the moment, particularly by universities around the world, including the UK, and indeed including the three institutions involved in this proposal.
Some of the research in this proposal also has the capacity to be directly applicable to specific problems in engineering, science and industry. For example, Geometric Flows have had widespread applications, and countries with long-established expertise in this field such as Germany and the USA have seen their technology filter into industrial applications, being used in medical scanners manufactured by Siemens, for example. We would like to create a similar environment in the UK.
The critical mass that this proposal will generate is expected to accelerate the research funding that has flowed into our groups from abroad as a result of our previous research projects.
In our opinion, our field contains some of the most impressive intellectual achievements that mankind has produced. The significance of this should not be underestimated; it has also contributed substantially to the embedding of mathematics within popular culture. For example, Perelman and his Ricci flow solution of the Poincaré conjecture have been featured as a leading front page story on a number of the UK broadsheet newspapers within the past six years. The Daily Telegraph alone devoted a further eleven articles to this particular topic over the same period. Also in this direction, the understanding of black holes and other cosmological phenomena has always been a topic that has captured the imagination of the public. This publicity is important to the nation since it helps secure a steady flow of students into science, and protects the funding of an economically and culturally important endeavour.
A large proportion of the research in this proposal concerns nonlinear partial differential equations, which are central to the financial sector (e.g. to correctly price derivative securities), which in turn accounts for one third of current UK GDP. As a result, members of our groups are in heavy demand by the financial industry and a flow of mathematicians trained in this area is currently essential for the economic prosperity of the nation.
This flow of mathematicians trained in fields that are highly relevant to many other disciplines, such as the fields in this proposal, are also essential to make the UK a fertile area for completely new industries to emerge. It is virtually impossible to give accurate predictions as to the applications, but it is important to consider how companies such as Google have been able to transform mathematical ideas into great economic success, and it is essential that we create an environment in the UK where such development can occur. Our proposal will help achieve this by bringing a critical mass of bright people together, developing them in relevant technology, and where possible, giving them the freedom to innovate.
Mathematicians trained in geometric analysis are also in heavy demand from research institutions at the moment, particularly by universities around the world, including the UK, and indeed including the three institutions involved in this proposal.
Some of the research in this proposal also has the capacity to be directly applicable to specific problems in engineering, science and industry. For example, Geometric Flows have had widespread applications, and countries with long-established expertise in this field such as Germany and the USA have seen their technology filter into industrial applications, being used in medical scanners manufactured by Siemens, for example. We would like to create a similar environment in the UK.
The critical mass that this proposal will generate is expected to accelerate the research funding that has flowed into our groups from abroad as a result of our previous research projects.
In our opinion, our field contains some of the most impressive intellectual achievements that mankind has produced. The significance of this should not be underestimated; it has also contributed substantially to the embedding of mathematics within popular culture. For example, Perelman and his Ricci flow solution of the Poincaré conjecture have been featured as a leading front page story on a number of the UK broadsheet newspapers within the past six years. The Daily Telegraph alone devoted a further eleven articles to this particular topic over the same period. Also in this direction, the understanding of black holes and other cosmological phenomena has always been a topic that has captured the imagination of the public. This publicity is important to the nation since it helps secure a steady flow of students into science, and protects the funding of an economically and culturally important endeavour.
Organisations
- University of Warwick (Lead Research Organisation)
- University of Wisconsin-Madison (Collaboration)
- University of Zurich (Collaboration)
- Princeton University (Collaboration)
- Massachusetts Institute of Technology (Collaboration, Project Partner)
- University of Zurich (Project Partner)
- Instituto Nacional de Matemática Pura e Aplicada (Project Partner)
- University of Wisconsin–Madison (Project Partner)
Publications
Agol I
(2015)
Min-max theory and the energy of links
in Journal of the American Mathematical Society
Alix Deruelle
(2017)
Asymptotic estimates and compactness of expanding gradient Ricci solitons.
in Annali della Scuola Normale Superiore
Ambrozio L
(2022)
Geometric convergence results for closed minimal surfaces via bubbling analysis
in Calculus of Variations and PDE
Ambrozio L
(2017)
Index estimates for free boundary minimal hypersurfaces
in Mathematische Annalen
Ambrozio L
(2017)
On static three-manifolds with positive scalar curvature
in Journal of Differential Geometry
Ambrozio L
(2019)
Bubbling analysis and geometric convergence results for free boundary minimal surfaces
in Journal de l'École polytechnique - Mathématiques
Ambrozio L
(2017)
Compactness analysis for free boundary minimal hypersurfaces
in Calculus of Variations and Partial Differential Equations
Ambrozio L
(2020)
On the two-systole of real projective spaces
in Revista Matematica Iberoamericana
Ambrozio L
(2018)
Comparing the Morse index and the first Betti number of minimal hypersurfaces
in Journal of Differential Geometry
| Description | The project was a great success, not just in terms of outputs but also in terms of the training of postdocs. The project ended up double the size of the original proposal owing to a large influx of funds from other sources to support our activity, including the governments of China and Brazil, the ERC, Cambridge University, Imperial college and the University of Warwick. In terms of research, major progress was made across all the main pillars of the original proposal. The field of min-max methods in the study of minimal surfaces was transformed over the period, with much of the leading work internationally associated with this project. Great developments were made in the mathematical relativity aspect of the proposal leading, for example, to a much better understanding of cosmic censorship and the stability of black holes. Geometric flows have also seen spectacular progress over the period, with an example highlight of the project being the resolution of the Anderson-Cheeger-Colding-Tian conjecture concerning the regularity of 3D Ricci limits spaces. The award has 127 publications attached to it, covering these developments, including 5 in Annals of Math, 4 in Inventiones, 8 In Journal of Differential Geometry and 1 in JAMS etc. Further details can be found in the annual reports of the project. |
| Exploitation Route | The research associated with this project has led to a surge of activity internationally in the topics covered. At this moment most of the activity that has been generated is within the academic fields of mathematics and physics. |
| Sectors | Other |
| Description | Marie Curie |
| Amount | € 183,455 (EUR) |
| Organisation | European Commission |
| Sector | Public |
| Country | European Union (EU) |
| Start | 05/2016 |
| End | 04/2018 |
| Description | Professor Camillo De Lellis |
| Organisation | University of Zurich |
| Country | Switzerland |
| Sector | Academic/University |
| PI Contribution | n/a |
| Collaborator Contribution | n/a |
| Impact | n/a |
| Start Year | 2013 |
| Description | Professor Fernando Coda Marques |
| Organisation | Princeton University |
| Country | United States |
| Sector | Academic/University |
| PI Contribution | n/a |
| Collaborator Contribution | n/a |
| Impact | n/a |
| Start Year | 2013 |
| Description | Professor Igor Rodnianski |
| Organisation | Massachusetts Institute of Technology |
| Country | United States |
| Sector | Academic/University |
| PI Contribution | n/a |
| Collaborator Contribution | n/a |
| Impact | n/a |
| Start Year | 2013 |
| Description | Professor Sigurd Angenent |
| Organisation | University of Wisconsin-Madison |
| Country | United States |
| Sector | Academic/University |
| PI Contribution | n/a |
| Collaborator Contribution | n/a |
| Impact | n/a |
| Start Year | 2013 |
| Description | "?? e??s?se?? Einstein t?? Ge????? Te???a? S?et???t?ta? ap? t?? 25 ??eµß???? 1915 ??? ?a? |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "?? e??s?se?? Einstein t?? Ge????? Te???a? S?et???t?ta? ap? t?? 25 ??eµß???? 1915 ??? ?a? s?µe?a" Public Talk, ?µe??da ??a ta 100 ?????a ap? t? Ge???? Te???a S?et???t?ta?, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "Area-minimizing surfaces in asymptotically flat three-manifolds" London End of Year Conference, |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "Area-minimizing surfaces in asymptotically flat three-manifolds" London End of Year Conference, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "Area-minimizing surfaces in asymptotically flat three-manifolds", Geometric Analysis Workshop, |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "Area-minimizing surfaces in asymptotically flat three-manifolds", Geometric Analysis Workshop, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "Minimal surfaces with bounded index in three-manifolds" Geometry and analysis |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "Minimal surfaces with bounded index in three-manifolds" Geometry and analysis |
| Year(s) Of Engagement Activity | 2015 |
| Description | "On the stability problem for black holes and the cosmic censorship conjectures" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "On the stability problem for black holes and the cosmic censorship conjectures" General Relativity and Gravitation, a Centennial Perspective, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "Scattering on Kerr black holes: backwards, forwards, inside and out" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "Scattering on Kerr black holes: backwards, forwards, inside and out" Eurostrings conference, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The "inside story" of black hole stability" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The "inside story" of black hole stability" Mathematical Problems in General Relativity Conference |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The Contribution of Mathematics to General Relativity: Past, Present and Future" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The Contribution of Mathematics to General Relativity: Past, Present and Future" Einstein's legacy: celebrating 100 years of general relativity, |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The geometry and analysis of black hole spacetimes in general relativity" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The geometry and analysis of black hole spacetimes in general relativity" 5th Meeting on Contemporary Mathematics, IPM, Tehran, (4 lectures) |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity" Seven Pines Symposium "General relativity: 100 years after its birth" |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The linear stability of the Schwarzschild solution to gravitational perturbations" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The linear stability of the Schwarzschild solution to gravitational perturbations" International conference on black holes |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The problem of singularities in general relativity, 100 years after the birth of the theory" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The problem of singularities in general relativity, 100 years after the birth of the theory" Talk to the Archimedeans |
| Year(s) Of Engagement Activity | 2015 |
| Description | "The strong cosmic censorship conjecture and the problem of singularities in general relativity" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | "The strong cosmic censorship conjecture and the problem of singularities in general relativity" Singularities in general relativity workshop, |
| Year(s) Of Engagement Activity | 2015 |
| Description | 'The stability of the Kerr Cauchy horizon and the strong cosmic censorship conjecture in general |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | 'The stability of the Kerr Cauchy horizon and the strong cosmic censorship conjecture in general Relativity', Nonlinear Waves Conference IHES |
| Year(s) Of Engagement Activity | 2016 |
| Description | 1 September 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Schrödinger Institute, Vienna |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 1 September 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Schrödinger Institute, Vienna |
| Year(s) Of Engagement Activity | 2017 |
| Description | 11 February 2017 Andre Neves Weyl Law for volume spectrum Notre Dame University, USA, 2017 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 11 February 2017 Andre Neves Weyl Law for volume spectrum Notre Dame University, USA, 2017 |
| Year(s) Of Engagement Activity | 2017 |
| Description | 11 July 2017 Mihalis Dafermos Christodoulou as cosmic censor Demetrios Christodoulou 65th Birthday Conference, ETH |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 11 July 2017 Mihalis Dafermos Christodoulou as cosmic censor Demetrios Christodoulou 65th Birthday Conference, ETH |
| Year(s) Of Engagement Activity | 2017 |
| Description | 12 January 2017 Mihalis Dafermos Scattering theory on Kerr black holes Kings College, London |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 12 January 2017 Mihalis Dafermos Scattering theory on Kerr black holes Kings College, London |
| Year(s) Of Engagement Activity | 2017 |
| Description | 13 July 2017 Andre Neves Weyl Law for volume spectrum Global Portuguese Math Meeting, Lisbon, Portugal |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 13 July 2017 Andre Neves Weyl Law for volume spectrum Global Portuguese Math Meeting, Lisbon, Portugal |
| Year(s) Of Engagement Activity | 2017 |
| Description | 13 June 2017 Lucas Ambrozio Free boundary minimal hypersurfaces UC Irvine, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 13 June 2017 Lucas Ambrozio Free boundary minimal hypersurfaces UC Irvine, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 14 June 2017 Mihalis Dafermos On a recent proof of the instability of AdS for the Einstein-null dust system HEP/GR Colloquium, DAMTP, University of Cambridge |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 14 June 2017 Mihalis Dafermos On a recent proof of the instability of AdS for the Einstein-null dust system HEP/GR Colloquium, DAMTP, University of Cambridge |
| Year(s) Of Engagement Activity | 2017 |
| Description | 14 November 2017 Lucas Ambrozio Free boundary minimal hypersurfaces Queen Mary University, London |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 14 November 2017 Lucas Ambrozio Free boundary minimal hypersurfaces Queen Mary University, London |
| Year(s) Of Engagement Activity | 2017 |
| Description | 15 August 2017 Norman Zergänge, Magdeburg |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 15 August 2017 Norman Zergänge Convergence of Riemannian manifolds with critical curvature bounds Magdeburg, Germany |
| Year(s) Of Engagement Activity | 2017 |
| Description | 15 October 2017 Andre Neves Gromov, Yau and Weyl: existence of minimal surfaces Geometry of Manifolds, Simons Center, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 15 October 2017 Andre Neves Gromov, Yau and Weyl: existence of minimal surfaces Geometry of Manifolds, Simons Center, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 15Sept 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Spanish-Portuguese Relativity Meeting, Malaga |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 15 Sept 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Spanish-Portuguese Relativity Meeting, Malaga |
| Year(s) Of Engagement Activity | 2017 |
| Description | 16 February 2017 Andre Neves Weyl Law for volume spectrum South California Geom. Analysis Conference, San Diego, USA 2017 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 16 February 2017 Andre Neves Weyl Law for volume spectrum South California Geom. Analysis Conference, San Diego, USA 2017 |
| Year(s) Of Engagement Activity | 2017 |
| Description | 16 February 2017 Norman Zergänge Stability analysis of Isometric Embeddings University of Warwick |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 16 February 2017 Norman Zergänge Stability analysis of Isometric Embeddings University of Warwick |
| Year(s) Of Engagement Activity | 2017 |
| Description | 16 January 2017 Mihalis Dafermos Mathematical problems in general relativity Queen Mary University |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 16 January 2017 Mihalis Dafermos Mathematical problems in general relativity Queen Mary University |
| Year(s) Of Engagement Activity | 2017 |
| Description | 16 November 2017 Andre Neves Gromov, Yau and Weyl: existence of minimal surfaces Geometric Analysis Conference, Rutgers, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 16 November 2017 Andre Neves Gromov, Yau and Weyl: existence of minimal surfaces Geometric Analysis Conference, Rutgers, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 17 November 2017 Grigorios Fournodavlos On hard stars in GR General Relativity seminar, DAMPT, University of Cambridge |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 17 November 2017 Grigorios Fournodavlos On hard stars in GR General Relativity seminar, DAMPT, University of Cambridge |
| Year(s) Of Engagement Activity | 2017 |
| Description | 20 March 2017 Lucas Ambrozio Static manifolds of positive scalar curvature University of Connecticut, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 20 March 2017 Lucas Ambrozio Static manifolds of positive scalar curvature University of Connecticut, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 20-24 June 2017 Mihalis Dafermos Nonlinear wave equations and the stability of flat spacetime 6 hour minicourse taught with G. Moschidis, SummerSchool in Nonlinear partial differential equations, National Technical University of Athens. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 20-24 June 2017 Mihalis Dafermos Nonlinear wave equations and the stability of flat spacetime 6 hour minicourse taught with G. Moschidis, SummerSchool in Nonlinear partial differential equations, National Technical University of Athens. |
| Year(s) Of Engagement Activity | 2017 |
| Description | 21 February 2017 Mihalis Dafermos On the Einstein-Vlasov system under surface symmetry Schrödinger Institute, Vienna |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 21 February 2017 Mihalis Dafermos On the Einstein-Vlasov system under surface symmetry Schrödinger Institute, Vienna |
| Year(s) Of Engagement Activity | 2017 |
| Description | 21 January 2017 Kai Zheng Uniqueness of canonical Kahler metric with cone singularities Peking University, China |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 21 January 2017 Kai Zheng Uniqueness of canonical Kahler metric with cone singularities Peking University, China |
| Year(s) Of Engagement Activity | 2017 |
| Description | 22 May 2017 Grigorios Fournodavlos Singularity formation in black hole interiors |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 22 May 2017 Grigorios Fournodavlos Singularity formation in black hole interiors THES, Paris, Seminaire de Relativite Mathematique |
| Year(s) Of Engagement Activity | 2017 |
| Description | 22-27 May 2017 Wenshuai Jiang Regularity and compactness of Harmonic-Einstein equations Geometric Analysis conference, Huairou, Beijing, China |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 22-27 May 2017 Wenshuai Jiang Regularity and compactness of Harmonic-Einstein equations Geometric Analysis conference, Huairou, Beijing, China |
| Year(s) Of Engagement Activity | 2017 |
| Description | 23 February 2017 Mihalis Dafermos On falling into black holes Schrödinger Institute, Vienna |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 23 February 2017 Mihalis Dafermos On falling into black holes Schrödinger Institute, Vienna |
| Year(s) Of Engagement Activity | 2017 |
| Description | 23 October 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Fields Institute, Toronto |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 23 October 2017 Mihalis Dafermos Boundedness and polynomial decay for the Teukolsky equation on Kerr space-times Fields Institute, Toronto |
| Year(s) Of Engagement Activity | 2017 |
| Description | 24 February 2017 Lucas Ambrozio Free boundary minimal hypersurfaces of Euclidean domains University of Wisconsin-Madison, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 24 February 2017 Lucas Ambrozio Free boundary minimal hypersurfaces of Euclidean domains University of Wisconsin-Madison, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 25-26 October 2017 Mihalis Dafermos Black holes and spacetime singularities in general relativity I-II Yamabe lectures, Northwestern |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 25-26 October 2017 Mihalis Dafermos Black holes and spacetime singularities in general relativity I-II Yamabe lectures, Northwestern |
| Year(s) Of Engagement Activity | 2017 |
| Description | 26 October 2017 Lucas Ambrozio Free boundary minimal hypersurfaces University of Warwick |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 26 October 2017 Lucas Ambrozio Free boundary minimal hypersurfaces University of Warwick |
| Year(s) Of Engagement Activity | 2017 |
| Description | 26 September 2017 Grigorios Fournodavlos Singularity formation in black hole interiors Queen Mary University of London |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 26 September 2017 Grigorios Fournodavlos Singularity formation in black hole interiors Queen Mary University of London |
| Year(s) Of Engagement Activity | 2017 |
| Description | 27 July 2017 Andre Neves Multiplicity One conjecture ESI Conference, Vienna, Austria |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 27 July 2017 Andre Neves Multiplicity One conjecture ESI Conference, Vienna, Austria |
| Year(s) Of Engagement Activity | 2017 |
| Description | 27-30 June 2017 Wenshuai Jiang L^2 curvature estimates on manifolds with bounded Ricci curvature Dynamical Geometric Analysis in Orsay, France |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 27-30 June 2017 Wenshuai Jiang L^2 curvature estimates on manifolds with bounded Ricci curvature Dynamical Geometric Analysis in Orsay, France |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3 February 2017 Rafael Montezuma Pinheiro Cabral Metrics of positive scalar curvature and unbounded min-max widths University of Wisconsin, Madison, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 3 February 2017 Rafael Montezuma Pinheiro Cabral Metrics of positive scalar curvature and unbounded min-max widths University of Wisconsin, Madison, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3 July 2017 Mihalis Dafermos The cosmic censorship conjectures in classical general relativity Stephen Hawking 75th Birthday Conference, Cambridge. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 3 July 2017 Mihalis Dafermos The cosmic censorship conjectures in classical general relativity Stephen Hawking 75th Birthday Conference, Cambridge. |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3 March 2017 Mihalis Dafermos On falling into black holes Colloquium, University of Warwick |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 3 March 2017 Mihalis Dafermos On falling into black holes Colloquium, University of Warwick |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3 November 2017 Norman Zergänge, Cambridge University |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | 3 November 2017 Norman Zergänge Convergence of Riemannian 4-Manifolds with L^2-Curvature bounds University of Cambridge |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3 November 2017 Peter Topping, Mihalis Dafermos Junior WIC geometric analysis event University of Cambridge |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 3 November 2017 Peter Topping, Mihalis Dafermos Junior WIC geometric analysis event University of Cambridge |
| Year(s) Of Engagement Activity | 2017 |
| Description | 3-day WIC conference, Imperial |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | 3-day WIC conference, Imperial |
| Year(s) Of Engagement Activity | 2015 |
| Description | 30 July - 5 August 2017 Lucas Ambrozio Free boundary minimal surfaces 31st Brazilian Colloquium of Mathematics, Geometry Section, IMPA, Brazil |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 30 July - 5 August 2017 Lucas Ambrozio Free boundary minimal surfaces 31st Brazilian Colloquium of Mathematics, Geometry Section, IMPA, Brazil |
| Year(s) Of Engagement Activity | 2017 |
| Description | 30 July-5 August 2017 Wenshuai Jiang The structure on non collapsing Ricci limit spaces Partial differential equations, Oberwolfach, Germany |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | 30 July-5 August 2017 Wenshuai Jiang The structure on non collapsing Ricci limit spaces Partial differential equations, Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2017 |
| Description | 31 March - 2 April 2017 Lucas Ambrozio Some new results for free boundary minimal hypersurfaces 32nd Geometry Festival, Duke University, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 31 March - 2 April 2017 Lucas Ambrozio Some new results for free boundary minimal hypersurfaces 32nd Geometry Festival, Duke University, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 4 April 2017 Mihalis Dafermos Superradiant scattering theory on Kerr black holes Nottingham |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 4 April 2017 Mihalis Dafermos Superradiant scattering theory on Kerr black holes Nottingham |
| Year(s) Of Engagement Activity | 2017 |
| Description | 6 April 2017 Andre Neves Weyl Law for volume spectrum UConn Geometry Day, Connecticut, USA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 6 April 2017 Andre Neves Weyl Law for volume spectrum UConn Geometry Day, Connecticut, USA |
| Year(s) Of Engagement Activity | 2017 |
| Description | 6 March 2017 Mihalis Dafermos The black hole stability problem in classical general relativity Hanover |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 6 March 2017 Mihalis Dafermos The black hole stability problem in classical general relativity Hanover |
| Year(s) Of Engagement Activity | 2017 |
| Description | 7 February 2017 Wenshuai Jiang L^2 curvature estimates on manifolds with bounded Ricci curvature Analysis and Geometric seminar, Paris 7 University, Paris, France |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 7 February 2017 Wenshuai Jiang L^2 curvature estimates on manifolds with bounded Ricci curvature Analysis and Geometric seminar, Paris 7 University, Paris, France |
| Year(s) Of Engagement Activity | 2017 |
| Description | 8 November 2017 Mihalis Dafermos On falling into black holes Colloquium, Brown University |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Postgraduate students |
| Results and Impact | 8 November 2017 Mihalis Dafermos On falling into black holes Colloquium, Brown University |
| Year(s) Of Engagement Activity | 2017 |
| Description | 8-10 May 2017 Peter Topping Mihalis Dafermos and Andre Neves Geometry - In honour of Mario Micallef's 60th birthday University of Warwick |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | 8-10 May 2017 Peter Topping Mihalis Dafermos and Andre Neves Geometry - In honour of Mario Micallef's 60th birthday University of Warwick |
| Year(s) Of Engagement Activity | 2017 |
| Description | 9 December 2017 Andre Neves Riemannian Geometry Past, Present and Future A homage to Marcel Berger, IHES, France |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 9 December 2017 Andre Neves Riemannian Geometry Past, Present and Future A homage to Marcel Berger, IHES, France |
| Year(s) Of Engagement Activity | 2017 |
| Description | 9 March 2017 Mihalis Dafermos Black hole stability inside and outside 4 hour minicourse, Max Plank Institute, Potsdam |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | 9 March 2017 Mihalis Dafermos Black hole stability inside and outside 4 hour minicourse, Max Plank Institute, Potsdam |
| Year(s) Of Engagement Activity | 2017 |
| Description | 9 May 2017 Andre Neves Weyl Law for volume spectrum Geometry - Mario Micallef's 60th birthday, UK |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | 9 May 2017 Andre Neves Weyl Law for volume spectrum Geometry - Mario Micallef's 60th birthday, UK |
| Year(s) Of Engagement Activity | 2017 |
| Description | A path to Yau conjecture |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | A path to Yau conjecture, Harvard University USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | Advances in Geometric Analysis, a conference and workshop in honour of Rich Schoen's 65th birthday, Warwick |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Advances in Geometric Analysis, a conference and workshop in honour of Rich Schoen's 65th birthday, Warwick |
| Year(s) Of Engagement Activity | 2015 |
| Description | Ancient solutions of curvature flows in the sphere |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Ancient solutions of curvature flows in the sphere, University of Warwick |
| Year(s) Of Engagement Activity | 2016 |
| Description | Ancient solutions of curvature flows in the sphere |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Ancient solutions of curvature flows in the sphere, Pontifical Catholic University of Chile |
| Year(s) Of Engagement Activity | 2016 |
| Description | April 2018 André Neves Colloquium, Recent developments in minimal surfaces University of Illinois, Chicago USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | April 2018 André Neves Colloquium, Recent developments in minimal surfaces University of Illinois, Chicago USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | April 2018 Lucas Ambrozio Geometric Analysis Seminar "Sequences of minimal surfaces with bounded index in three manifolds" University of Chicago, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | April 2018 Lucas Ambrozio Geometric Analysis Seminar "Sequences of minimal surfaces with bounded index in three manifolds" University of Chicago, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | April 2018 Lucas Ambrozio Geometry-Topology Seminar "Towards the classification of static manifolds" UPenn, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | April 2018 Lucas Ambrozio Geometry-Topology Seminar "Towards the classification of static manifolds" UPenn, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | April 2018 Norman Zergaenge Oberseminar Differetialgeometrie University of Münster |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | April 2018 Norman Zergaenge Oberseminar Differetialgeometrie University of Münster |
| Year(s) Of Engagement Activity | 2018 |
| Description | Area-minimizing surfaces in asymptotically flat three-manifolds. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Area-minimizing surfaces in asymptotically flat three-manifolds. University of Cambridge |
| Year(s) Of Engagement Activity | 2016 |
| Description | Area-minimizing surfaces in asymptotically flat three-manifolds. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Area-minimizing surfaces in asymptotically flat three-manifolds. University of Warwick |
| Year(s) Of Engagement Activity | 2016 |
| Description | Area-minimizing surfaces in asymptotically flat three-manifolds. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Area-minimizing surfaces in asymptotically flat three-manifolds. Institut de Mathematiques de Jussieu, Paris |
| Year(s) Of Engagement Activity | 2016 |
| Description | Area-minimizing surfaces in asymptotically flat three-manifolds. Durham Geometry Day |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Area-minimizing surfaces in asymptotically flat three-manifolds. Durham Geometry Day. University of Yorkshire and Durham |
| Year(s) Of Engagement Activity | 2016 |
| Description | Asymptotic behaviour of global solutions to the geometric flows Tsinghua University China |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Asymptotic behaviour of global solutions to the geometric flows Tsinghua University China |
| Year(s) Of Engagement Activity | 2015 |
| Description | Asymptotic behaviour of global solutions to the geometric flows USTC China |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Asymptotic behaviour of global solutions to the geometric flows USTC China |
| Year(s) Of Engagement Activity | 2015 |
| Description | Asymptotic behaviour of global solutions to the geometric flows Warwick |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Asymptotic behaviour of global solutions to the geometric flows Warwick |
| Year(s) Of Engagement Activity | 2015 |
| Description | August 2017 Peter Topping, Schroedinger Institute, Vienna |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | August 2017 Peter Topping Invited speaker in programme on 'Geometry and Relativity.' Schrödinger Institute, Vienna. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Black hole stability: inside and outside, Minicourse |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Black hole stability: inside and outside, Minicourse, IHES |
| Year(s) Of Engagement Activity | 2016 |
| Description | Colloquium University of Magdeburg |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Colloquium University of Magdeburg |
| Year(s) Of Engagement Activity | 2015 |
| Description | Colloquium Vanderbilt University |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Colloquium Vanderbilt University |
| Year(s) Of Engagement Activity | 2015 |
| Description | Compactness of minimal hypersurfaces with bounded index. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Compactness of minimal hypersurfaces with bounded index. Geometric Flows: Recent Developments and Applications |
| Year(s) Of Engagement Activity | 2015 |
| Description | Conference on 'Geometric Flows, their applications, and related topics'. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Conference on 'Geometric Flows, their applications, and related topics'. QML |
| Year(s) Of Engagement Activity | 2016 |
| Description | Constant scalar curvature Kaehler metrics with cone singularities |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Constant scalar curvature Kaehler metrics with cone singularities, University of Leeds |
| Year(s) Of Engagement Activity | 2016 |
| Description | Convergence of the Calabi flow |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Convergence of the Calabi flow, Toulouse France |
| Year(s) Of Engagement Activity | 2016 |
| Description | Convergence of the Calabi flow |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Convergence of the Calabi flow, Durham University UK |
| Year(s) Of Engagement Activity | 2016 |
| Description | December 2018 Mihalis Dafermos Plenary Address, 2nd Middle and High School Student Conference, <> |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | December 2018 Mihalis Dafermos Plenary Address, 2nd Middle and High School Student Conference, <<??ft??ta? st?? µa??e? t??pe?>> Athens |
| Year(s) Of Engagement Activity | 2018 |
| Description | December 2018 Thomas Hudson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge Princeton University, New Jersey |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | December 2018 Thomas Hudson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge Princeton University, New Jersey |
| Year(s) Of Engagement Activity | 2018 |
| Description | Distinguished lecture, Isfahan, |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Distinguished lecture, Isfahan, |
| Year(s) Of Engagement Activity | 2015 |
| Description | Eighth Aegean Summer School, |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Eighth Aegean Summer School, "The strong cosmic censorship conjecture and the problem of singularities in general relativity" |
| Year(s) Of Engagement Activity | 2015 |
| Description | End of year London Geometry Conference, Kings College London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | End of year London Geometry Conference, Kings College London |
| Year(s) Of Engagement Activity | 2015 |
| Description | February 2018 Lucas Ambrozio PDE Seminar "Recent progress on the theory of free boundary minimal hypersurfaces University of Oxford |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | February 2018 Lucas Ambrozio PDE Seminar "Recent progress on the theory of free boundary minimal hypersurfaces University of Oxford |
| Year(s) Of Engagement Activity | 2018 |
| Description | February 2018 Mihalis Dafermos Mathematical Physics Seminar, "Scattering on Kerr black holes" University of York |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | February 2018 Mihalis Dafermos Mathematical Physics Seminar, "Scattering on Kerr black holes" University of York |
| Year(s) Of Engagement Activity | 2018 |
| Description | February 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge UPMC, Paris |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | February 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge UPMC, Paris |
| Year(s) Of Engagement Activity | 2018 |
| Description | General Relativity: A Celebration of its 100th Anniversary |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | General Relativity: A Celebration of its 100th Anniversary |
| Year(s) Of Engagement Activity | 2015 |
| Description | Geometric Analysis ICMS, Edinburgh |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 ; Organiser: Peter Topping Co-Organiser: M.Dafermos and A. Neves Title: Geometric Analysis ICMS, Edinburgh |
| Year(s) Of Engagement Activity | 2018 |
| Description | Geometric Flows: Recent developments and applications Conference, Banff |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Geometric Flows: Recent developments and applications Conference, Banff |
| Year(s) Of Engagement Activity | 2015 |
| Description | Geometric PDE |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Geometric PDE, University of Warwick, December 2016 |
| Year(s) Of Engagement Activity | 2016 |
| Description | Geometry Workshop |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Geometry Workshop, Oberwolfach, Germany, June 2016 |
| Year(s) Of Engagement Activity | 2016 |
| Description | Geometry Workshop Oberwolfach, Germany |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | June 2018 Organiser: André Neves Geometry Workshop Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2018 |
| Description | Geometry and Topology seminar Imperial College London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Geometry and Topology seminar Imperial College London |
| Year(s) Of Engagement Activity | 2015 |
| Description | Harnack Inequalities and Ancient Solutions of Hypersurface Flows |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Harnack Inequalities and Ancient Solutions of Hypersurface Flows, University of Warwick |
| Year(s) Of Engagement Activity | 2016 |
| Description | Hyperbolic equations on spacetime Schrodinger Institute, Vienna |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Hyperbolic equations on spacetime Schrodinger Institute, Vienna |
| Year(s) Of Engagement Activity | 2015 |
| Description | Index Estimates Frankfurt, Germany |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Index Estimates Frankfurt, Germany |
| Year(s) Of Engagement Activity | 2015 |
| Description | Index Estimates Tokyo, Japan |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | Index Estimates Tokyo, Japan |
| Year(s) Of Engagement Activity | 2015 |
| Description | Index estimates for Min-max Theory |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Index estimates for Min-max Theory, QML |
| Year(s) Of Engagement Activity | 2016 |
| Description | Index estimates in Min-max IMPA |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | Index estimates in Min-max IMPA |
| Year(s) Of Engagement Activity | 2015 |
| Description | Index estimates in Min-max Rome, Italy |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Index estimates in Min-max Rome, Italy |
| Year(s) Of Engagement Activity | 2015 |
| Description | International Conference of Geomatric Analysis |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | Arrangement of International Conference of Geometric Analysis, Lisbon. Landmark event in the field. |
| Year(s) Of Engagement Activity | 2014 |
| URL | https://gac.math.tecnico.ulisboa.pt |
| Description | January 2018 Mihalis Dafermos Mathematics Colloquium, "On falling into black holes" Imperial College, London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Study participants or study members |
| Results and Impact | January 2018 Mihalis Dafermos Mathematics Colloquium, "On falling into black holes" Imperial College, London |
| Year(s) Of Engagement Activity | 2018 |
| Description | January 2018 Norman Zergaenge Differential Geometry Seminar University of California, Irvine |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | January 2018 Norman Zergaenge Differential Geometry Seminar University of California, Irvine |
| Year(s) Of Engagement Activity | 2018 |
| Description | January 2018 Peter Topping Plenary speaker in workshop on 'Minimal Surfaces and related topics' University of Granada |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | January 2018 Peter Topping Plenary speaker in workshop on 'Minimal Surfaces and related topics' University of Granada |
| Year(s) Of Engagement Activity | 2018 |
| Description | Joint AMS-SPM Geometric Analysis Special session: Compactness of minimal hypersurfaces with bounded index |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Joint AMS-SPM Geometric Analysis Special session: Compactness of minimal hypersurfaces with bounded index |
| Year(s) Of Engagement Activity | 2015 |
| Description | Joint AMS-SPM-EMS Geometric Analysis Special Session, Porto |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Joint AMS-SPM-EMS Geometric Analysis Special Session, Porto |
| Year(s) Of Engagement Activity | 2015 |
| Description | Joint Northwester-University of Chicago Geometry Meeting 2018 University of Chicago, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | 2018 Organiser: André Neves Joint Northwester-University of Chicago Geometry Meeting 2018 University of Chicago, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | Joint Warwick-Imperial-Cambridge Analysis meeting |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Joint Warwick-Imperial-Cambridge Analysis meeting, QML, January 2016 |
| Year(s) Of Engagement Activity | 2016 |
| Description | July 2017 Peter Topping C De Lellis and R Schoen Partial Differential Equations Oberwolfach meeting |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | July 2017 Peter Topping C De Lellis and R Schoen Partial Differential Equations Oberwolfach meeting |
| Year(s) Of Engagement Activity | 2017 |
| Description | July 2017 Peter Topping Lecturer in the Summer School on Geometric Analysis, Toronto. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | July 2017 Peter Topping Lecturer in the Summer School on Geometric Analysis. Fields institute, Toronto, Canada. |
| Year(s) Of Engagement Activity | 2017 |
| Description | July 2018 André Neves Brian White's birthday conference, Recent developments in minimal surfaces Stanford, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | July 2018 André Neves Brian White's birthday conference, Recent developments in minimal surfaces Stanford, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | July 2018 Mihalis Dafermos Minicourse, The Role of Metrics in the Theory of Partial Differential Equations, "Black hole interiors and the strong cosmic censorship conjecture in general relativity, I, II, III" Sapporo |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | July 2018 Mihalis Dafermos Minicourse, The Role of Metrics in the Theory of Partial Differential Equations, "Black hole interiors and the strong cosmic censorship conjecture in general relativity, I, II, III" Sapporo |
| Year(s) Of Engagement Activity | 2018 |
| Description | July 2018 Mihalis Dafermos Plenary address, Young Researchers Symposium, "On falling into black holes" Montreal, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | July 2018 Mihalis Dafermos Plenary address, Young Researchers Symposium, "On falling into black holes" Montreal, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | June 2017 Peter Topping Invited speaker in the LMS workshop on 'Variational methods in submanifold theory". University of York |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | June 2017 Peter Topping Invited speaker in the LMS workshop on 'Variational methods in submanifold theory". University of York |
| Year(s) Of Engagement Activity | 2017 |
| Description | June 2017 Peter Topping Invited speaker in the workshop on 'Geometric Analysis on smooth and non-smooth spaces.' SISSA, Trieste, Italy |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | June 2017 Peter Topping Invited speaker in the workshop on 'Geometric Analysis on smooth and non-smooth spaces.' SISSA, Trieste, Italy |
| Year(s) Of Engagement Activity | 2017 |
| Description | June 2018 André Neves Lectures in Summer School of Geometric Analysis, Weyl Law and existence of minimal surfaces (3 lectures) Cetraro, Italy |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Patients, carers and/or patient groups |
| Results and Impact | June 2018 André Neves Lectures in Summer School of Geometric Analysis, Weyl Law and existence of minimal surfaces (3 lectures) Cetraro, Italy |
| Year(s) Of Engagement Activity | 2018 |
| Description | June 2018 Mihalis Dafermos First Congress of Greek Mathematicians <> |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | June 2018 Mihalis Dafermos First Congress of Greek Mathematicians <<?a µa??µat??? t?? µe?a??? ?p??>> |
| Year(s) Of Engagement Activity | 2018 |
| Description | June 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge University of Cambridge |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | June 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge University of Cambridge |
| Year(s) Of Engagement Activity | 2018 |
| Description | Junior WIC Geometric Analysis Seminar |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Postgraduate students |
| Results and Impact | Junior WIC Geometric Analysis Seminar, rotating venues: Warwick; LMS-De Morgan House, London; Queen Mary University London. |
| Year(s) Of Engagement Activity | 2013,2014,2016 |
| Description | Kai Zheng. Talk:Convergence of the Calabi flow |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Convergence of the Calabi flow, Fudan University, Shanghai, China |
| Year(s) Of Engagement Activity | 2016 |
| Description | Large isoperimetric regions in asymptotically flat 3-manifolds |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Large isoperimetric regions in asymptotically flat 3-manifolds, Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2016 |
| Description | March 2017 Peter Topping Invited speaker in the PDE seminar University of Oxford |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Local |
| Primary Audience | Other audiences |
| Results and Impact | March 2017 Peter Topping Invited speaker in the PDE seminar University of Oxford |
| Year(s) Of Engagement Activity | 2017 |
| Description | March 2018 André Neves Colloquium, Recent developments in minimal surfaces Coimbra University, Portugal |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 André Neves Colloquium, Recent developments in minimal surfaces Coimbra University, Portugal |
| Year(s) Of Engagement Activity | 2018 |
| Description | March 2018 Lucas Ambrozio Seminario de Geometria "Classification of static manifolds" Universidad de Granada, Spain |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 Lucas Ambrozio Seminario de Geometria "Classification of static manifolds" Universidad de Granada, Spain |
| Year(s) Of Engagement Activity | 2018 |
| Description | March 2018 Mihalis Dafermos Brussels-London Geometry Seminar, "The Teukolsky equation on Kerr and the black hole stability problem" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 Mihalis Dafermos Brussels-London Geometry Seminar, "The Teukolsky equation on Kerr and the black hole stability problem" |
| Year(s) Of Engagement Activity | 2018 |
| Description | March 2018 Mihalis Dafermos Field Equations on Lorentzian Space-Times, "On falling into black holes" Hamburg |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 Mihalis Dafermos Field Equations on Lorentzian Space-Times, "On falling into black holes" Hamburg |
| Year(s) Of Engagement Activity | 2018 |
| Description | March 2018 Mihalis Dafermos Oxbridge PDE conference, "The Teukolsky equation on Kerr and the black hole stability problem" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 Mihalis Dafermos Oxbridge PDE conference, "The Teukolsky equation on Kerr and the black hole stability problem" |
| Year(s) Of Engagement Activity | 2018 |
| Description | March 2018 Norman Zergaenge Hochst Workshop AG Geometry and Approximation University of Darmstadt, Hochst |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | March 2018 Norman Zergaenge Hochst Workshop AG Geometry and Approximation University of Darmstadt, Hochst |
| Year(s) Of Engagement Activity | 2018 |
| Description | Mathematical aspects of General Relativity |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Mathematical aspects of General Relativity, Simons Foundation, New York |
| Year(s) Of Engagement Activity | 2016 |
| Description | Mathematics Department Colloquium, Rutgers University |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | Mathematics Department Colloquium, Rutgers University |
| Year(s) Of Engagement Activity | 2015 |
| Description | Mathematics seminar University of Reading |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | Mathematics seminar University of Reading |
| Year(s) Of Engagement Activity | 2015 |
| Description | May 2017 Peter Topping Invited speaker in the London-Brussels Geometry seminar Queen Mary University of London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | May 2017 Peter Topping Invited speaker in the London-Brussels Geometry seminar Queen Mary University of London |
| Year(s) Of Engagement Activity | 2017 |
| Description | May 2018 André Neves Colloquium, Recent developments in minimal surfaces University of Michigan, Ann Arbor, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 André Neves Colloquium, Recent developments in minimal surfaces University of Michigan, Ann Arbor, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | May 2018 André Neves Geometric Analysis Workshop, Denseness of minimal surfaces UBC, Vancouver, Canada |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 André Neves Geometric Analysis Workshop, Denseness of minimal surfaces UBC, Vancouver, Canada |
| Year(s) Of Engagement Activity | 2018 |
| Description | May 2018 Mihalis Dafermos Conference on non-linear waves, "The Teukolsky equation on Kerr and the black hole stability problem" Brown University, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 Mihalis Dafermos Conference on non-linear waves, "The Teukolsky equation on Kerr and the black hole stability problem" Brown University, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | May 2018 Norman Zergaenge Analysis seminar University of Warwick |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 Norman Zergaenge Analysis seminar University of Warwick |
| Year(s) Of Engagement Activity | 2018 |
| Description | May 2018 Norman Zergaenge Geometry Seminar UCL/KCL, London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | May 2018 Norman Zergaenge Geometry Seminar UCL/KCL, London |
| Year(s) Of Engagement Activity | 2018 |
| Description | Metrics of positive scalar curvature and unbounded min-max widths |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Metrics of positive scalar curvature and unbounded min-max widths, University of Warwick |
| Year(s) Of Engagement Activity | 2016 |
| Description | Min max in geometry Porto |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min max in geometry Porto |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max Constructions of Minimal Surfaces Conference, Oberwolfach |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max Constructions of Minimal Surfaces Conference, Oberwolfach |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max Methods in Geometry UCLA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max Methods in Geometry UCLA |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max in Geometry Chicago |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max in Geometry Chicago |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max in Geometry Stony Brook |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max in Geometry Stony Brook |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max in Geometry University of Leicester |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max in Geometry University of Leicester |
| Year(s) Of Engagement Activity | 2015 |
| Description | Min-max minimal hypersurfaces in non-compact manifolds |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Min-max minimal hypersurfaces in non-compact manifolds, Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2016 |
| Description | Mini-course on min-max theory for minimal surfaces |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Mini-course on min-max theory for minimal surfaces, IMPA Brazil |
| Year(s) Of Engagement Activity | 2016 |
| Description | Minicourse on 'Teichmueller harmonic map flow'. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Minicourse on 'Teichmueller harmonic map flow'. Ascona Switzerland |
| Year(s) Of Engagement Activity | 2016 |
| Description | Modern Mathematical Methods in Science and Technology, Kalamata |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Modern Mathematical Methods in Science and Technology, Kalamata |
| Year(s) Of Engagement Activity | 2015 |
| Description | November 2018 André Neves Colloquium at Rutgers, Existence and equidistribution of minimal surfaces Newark, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 André Neves Colloquium at Rutgers, Existence and equidistribution of minimal surfaces Newark, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | November 2018 André Neves Workshop in variational methods, Existence and equidistribution of minimal surfaces IAS, Princeton, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 André Neves Workshop in variational methods, Existence and equidistribution of minimal surfaces IAS, Princeton, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | November 2018 Grigorios Fournodavlos Seminar on mathematical relativity Sorbonne Université, Paris |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 Grigorios Fournodavlos Seminar on mathematical relativity Sorbonne Université, Paris |
| Year(s) Of Engagement Activity | 2018 |
| Description | November 2018 Lucas Ambrozio Variational Methods in Geometry Seminar, "The min-max width of unit volume three-spheres" IAS, NJ, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 Lucas Ambrozio Variational Methods in Geometry Seminar, "The min-max width of unit volume three-spheres" IAS, NJ, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | November 2018 Mihalis Dafermos AMS invited address, "On falling into black holes" Fayetteville, Arkansas, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 Mihalis Dafermos AMS invited address, "On falling into black holes" Fayetteville, Arkansas, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | November 2018 Mihalis Dafermos Synge Public Lecture: On falling into black holes Trinity College, Dublin |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | November 2018 Mihalis Dafermos Synge Public Lecture: On falling into black holes Trinity College, Dublin |
| Year(s) Of Engagement Activity | 2018 |
| Description | Oberwolfach workshop |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | Oberwolfach workshop: Analysis, Geometry and Topology of Positive Scalar Curvature metrics |
| Year(s) Of Engagement Activity | 2014 |
| Description | October 2018 André Neves Colloquium: Recent developments in minimal surfaces UPenn, Phildadelphia, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | October 2018 André Neves Colloquium: Recent developments in minimal surfaces UPenn, Phildadelphia, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | October 2018 Lucas Ambrozio "The min-max width of unit volume three-spheres" Rutgers University, NJ, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | October 2018 Lucas Ambrozio "The min-max width of unit volume three-spheres" Rutgers University, NJ, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | October 2018 Mihalis Dafermos Kempf lectures: On falling into black holes I, II John Hopkins University |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | October 2018 Mihalis Dafermos Kempf lectures: On falling into black holes I, II John Hopkins University |
| Year(s) Of Engagement Activity | 2018 |
| Description | October 2018 Norman Zergaenge Research Seminar, Institut für Differentialgeometrie Hannover |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | October 2018 Norman Zergaenge Research Seminar, Institut für Differentialgeometrie Hannover |
| Year(s) Of Engagement Activity | 2018 |
| Description | October 2018 Norman Zergaenge Yorkshire Durham Geometry Days 2018 University of York |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | October 2018 Norman Zergaenge Yorkshire Durham Geometry Days 2018 University of York |
| Year(s) Of Engagement Activity | 2018 |
| Description | On Weyl Law |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | On Weyl Law, Florence University |
| Year(s) Of Engagement Activity | 2016 |
| Description | On falling into black holes |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | On falling into black holes, General audience talk, Cambridge Hellenic Learned Society |
| Year(s) Of Engagement Activity | 2016 |
| Description | PDE Seminar: Dynamics of the Einstein equations near a Schwarzschild singularity |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | PDE Seminar: Dynamics of the Einstein equations near a Schwarzschild singularity, Instituto Superior Tecnico |
| Year(s) Of Engagement Activity | 2016 |
| Description | PDE meeting, Oberwolfach |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | PDE meeting, Oberwolfach |
| Year(s) Of Engagement Activity | 2015 |
| Description | Partial Differential Equations Conference, Oberwolfach |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Partial Differential Equations Conference, Oberwolfach |
| Year(s) Of Engagement Activity | 2015 |
| Description | Peter Topping, Geometry seminar, Leeds |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Geometry seminar, University of Leeds, UK |
| Year(s) Of Engagement Activity | 2016 |
| Description | Peter Topping, Speaker in the workshop on 'Calculus of Variations', Oberwolfach |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Speaker in the workshop on 'Calculus of Variations', Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2016 |
| Description | Program in General Relativity Conference, Fields Institute |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Program in General Relativity Conference, Fields Institute |
| Year(s) Of Engagement Activity | 2015 |
| Description | Pure maths seminar University of Leicester |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Other audiences |
| Results and Impact | Pure maths seminar University of Leicester |
| Year(s) Of Engagement Activity | 2015 |
| Description | Recent advances on the global nonlinear stability of Einstein spacetimes |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Recent advances on the global nonlinear stability of Einstein spacetimes (5 lectures), Oberwolfach Seminar |
| Year(s) Of Engagement Activity | 2016 |
| Description | Remark on the Lagrangian mean curvature flow |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Remark on the Lagrangian mean curvature flow, QML |
| Year(s) Of Engagement Activity | 2016 |
| Description | Scalar curvature and area-minimizing surfaces |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Scalar curvature and area-minimizing surfaces, MSRI, Berkley |
| Year(s) Of Engagement Activity | 2016 |
| Description | Seminar in 'Topics in geometric Analysis' Free University Berlin |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Seminar in 'Topics in geometric Analysis' Free University Berlin |
| Year(s) Of Engagement Activity | 2015 |
| Description | September 2017 Peter Topping , OMG and DMG annual meeting, Salzburg |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | September 2017 Peter Topping Invited speaker in Minisymposium on 'Nonlinear Partial Differential Equations in Analysis and Geometry.' 19th OMG congress and annual DMV meeting, University of Salzburg |
| Year(s) Of Engagement Activity | 2017 |
| Description | September 2017 Peter Topping, Max-Planck Bonn |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | September 2017 Peter Topping Mini-course lecturer in intense activity period on 'MM-spaces and Ricci curvature.' Max-Planck, Bonn |
| Year(s) Of Engagement Activity | 2017 |
| Description | September 2018 Mihalis Dafermos 43rd Summer School on Mathematical Physics, "The Geometry and analysis of black hole spacetimes I, II, III, IV, V, VI Ravello |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | September 2018 Mihalis Dafermos 43rd Summer School on Mathematical Physics, "The Geometry and analysis of black hole spacetimes I, II, III, IV, V, VI Ravello |
| Year(s) Of Engagement Activity | 2018 |
| Description | September 2018 Mihalis Dafermos Origins of the Universe Conference "The structure of singularities in black hole interiors" Flatiron Institute, NY, USA |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | September 2018 Mihalis Dafermos Origins of the Universe Conference "The structure of singularities in black hole interiors" Flatiron Institute, NY, USA |
| Year(s) Of Engagement Activity | 2018 |
| Description | September 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge QMUL, London |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Study participants or study members |
| Results and Impact | September 2018 Thomas Johnson The linear stability of the Schwarzschild solution to gravitational perturbations in the generalised wave gauge QMUL, London |
| Year(s) Of Engagement Activity | 2018 |
| Description | Speaker at Advances in Geometric Analysis, a conference and workshop in honour of Rich Schoen's 65th birthday |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Speaker at Advances in Geometric Analysis, a conference and workshop in honour of Rich Schoen's 65th birthday |
| Year(s) Of Engagement Activity | 2015 |
| Description | Speaker at Ernst Mach Conference 'Dynamics and determinism in general relativity' |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Speaker at Ernst Mach Conference 'Dynamics and determinism in general relativity' Vienna |
| Year(s) Of Engagement Activity | 2016 |
| Description | Speaker at the String Theory Workshop, 'The interior of dynamic black holes without symmetry' |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Speaker at the String Theory Workshop, 'The interior of dynamic black holes without symmetry', Amsterdam |
| Year(s) Of Engagement Activity | 2016 |
| Description | Speaker in workshop on geometric analysis Universitaet Frankfurt |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Speaker in workshop on geometric analysis Universitaet Frankfurt |
| Year(s) Of Engagement Activity | 2015 |
| Description | Stability in exponential time of Minkowski space-time with a translation space-like vector field |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Stability in exponential time of Minkowski space-time with a translation space-like vector field |
| Year(s) Of Engagement Activity | 2015 |
| Description | Stability in exponential time of Minkowski space-time with a translation space-like vector field |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Stability in exponential time of Minkowski space-time with a translation space-like vector field |
| Year(s) Of Engagement Activity | 2015 |
| Description | Stability of Minkowski space-time with a translation Killing field |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Stability of Minkowski space-time with a translation Killing field, QML |
| Year(s) Of Engagement Activity | 2016 |
| Description | Stability of Minkowski space-time with a translation Killing field |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Stability of Minkowski space-time with a translation Killing field, Cambridge GR lunch seminar |
| Year(s) Of Engagement Activity | 2016 |
| Description | The Ricci Flow on manifold with boundary |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The Ricci Flow on manifold with boundary |
| Year(s) Of Engagement Activity | 2015 |
| Description | The Ricci Flow on manifold with boundary |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The Ricci Flow on manifold with boundary |
| Year(s) Of Engagement Activity | 2015 |
| Description | The black hole stability problem: the inside story, Seminar on General Relativity |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The black hole stability problem: the inside story, Seminar on General Relativity, Harvard University, USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | The index and topology of minimal surfaces in R3 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The index and topology of minimal surfaces in R3, Queen Mary University of London |
| Year(s) Of Engagement Activity | 2016 |
| Description | The inside story of black hole stability and the strong cosmic censorship conjecture in general relativity, Analysis, PDE's and Geometry: conference in honor of Sergiu Klainerman |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The inside story of black hole stability and the strong cosmic censorship conjecture in general relativity, Analysis, PDE's and Geometry: conference in honor of Sergiu Klainerman, Princeton USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity, Brinsop Court, Herefordshire |
| Year(s) Of Engagement Activity | 2016 |
| Description | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity NEB 17 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity NEB17, Mykonos Greece |
| Year(s) Of Engagement Activity | 2016 |
| Description | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity, Conference on nonlinear equations |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The interior of dynamical black holes and the strong cosmic censorship conjecture in general relativity, Conference on nonlinear equations, Harvard University USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | The linear stability of the Schwarzschild solution to gravitational perturbations |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The linear stability of the Schwarzschild solution to gravitational perturbations, OxPDE conference, Cambridge |
| Year(s) Of Engagement Activity | 2016 |
| Description | The linear stability of the Schwarzschild solution to gravitational perturbations |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The linear stability of the Schwarzschild solution to gravitational perturbations, Evolution Equations seminar |
| Year(s) Of Engagement Activity | 2016 |
| Description | The linear stability of the Schwarzschild solution to gravitational perturbations, Analysis seminar |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The linear stability of the Schwarzschild solution to gravitational perturbations, Analysis Seminar, MIT, USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | The scattering problem in general relativity, Seminar on General Relativity |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The scattering problem in general relativity, Seminar on General Relativity, Harvard University USA |
| Year(s) Of Engagement Activity | 2016 |
| Description | The stability of the Kerr Cauchy horizon and the strong cosmic censorship conjecture in general |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The stability of the Kerr Cauchy horizon and the strong cosmic censorship conjecture in general |
| Year(s) Of Engagement Activity | 2015 |
| Description | The stability problem for black holes |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | The stability problem for black holes (4 lectures), Summer school on Modern topics in Nonlinear PDE and Geometric Analysis, 2016 |
| Year(s) Of Engagement Activity | 2016 |
| Description | Topics in Geometry Analysis Seminar: Compactness of minimal hypersurfaces with bounded index |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Topics in Geometry Analysis Seminar: Compactness of minimal hypersurfaces with bounded index |
| Year(s) Of Engagement Activity | 2015 |
| Description | WIC meeting on Geometric Analysis |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Organisation of Warwick-Imperial-Cambridge meeting on Geometric Analysis. This is the main national annual event for this subject. |
| Year(s) Of Engagement Activity | 2012,2013,2014,2015 |
| Description | Weak null singularities in the interior of dynamic vacuum black holes, Conference on singularities of general relativity and their quantum fate |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Weak null singularities in the interior of dynamic vacuum black holes, Conference on singularities of general relativity and their quantum fate, Banach Centre, Warsaw |
| Year(s) Of Engagement Activity | 2016 |
| Description | Weyl Law for volume spectrum |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Weyl Law for volume spectrum, North Western University |
| Year(s) Of Engagement Activity | 2016 |
| Description | Weyl Law for volume spectrum |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Weyl Law for volume spectrum, Canberra University |
| Year(s) Of Engagement Activity | 2016 |
| Description | Willmore Conjecture |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | National |
| Primary Audience | Other audiences |
| Results and Impact | Willmore Conjecture |
| Year(s) Of Engagement Activity | 2015 |
| Description | Willmore functional workshop |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Other audiences |
| Results and Impact | Willmore functional workshop, Oberwolfach, Germany |
| Year(s) Of Engagement Activity | 2014 |