New algebraic structures inspired by quantum field theory
Lead Research Organisation:
University of York
Department Name: Mathematics
Abstract
Quantum field theory (QFT) is the conceptual basis of particle physics and has provided a challenge and an inspiration for mathematicians for more than 6 decades and yet, despite constant efforts, its mathematical foundations are not completely understood. On the other hand, formal computations done in particle physics agree with experiment to an enormous accuracy. This leaves mathematicians with a great challenge and the current proposal is a part of a larger research program, meant to address it.
The aim of this project is to investigate certain algebraic structures that recently were postulated as a robust conceptual basis for QFT and to use the examples provided by QFT models to prove new results concerning these structures. Subsequently, these new mathematical tools will be used to understand the formal computations done in physics (with the use of perturbation theory). The long term goal is to get enough control on the algebraic structures in question to enable one to go beyond perturbation theory and obtain rigorous results.
The aim of this project is to investigate certain algebraic structures that recently were postulated as a robust conceptual basis for QFT and to use the examples provided by QFT models to prove new results concerning these structures. Subsequently, these new mathematical tools will be used to understand the formal computations done in physics (with the use of perturbation theory). The long term goal is to get enough control on the algebraic structures in question to enable one to go beyond perturbation theory and obtain rigorous results.
Planned Impact
The research project that I propose concerns very fundamental questions regarding the conceptual basis of quantum field theory (QFT). Research into the foundations of QFT is important for proper understanding of the laws of physics at the level of the smallest constituents of matter. My research is also related to quantum cosmology and quantum gravity, areas that are key to understanding the beginning of the Universe.
While the main direct impacts of this research will be to academic beneficiaries, there will also be benefits to society. In the long term, these benefits will be in the form of advancing knowledge and understanding of the world we live in and of our origins and place in the history of the Universe. In the shorter term, I will deliver societal impact by bringing the results of the cutting edge research in cosmology and quantum gravity closer to the public. I believe that it is important that the general public is informed about the newest results in fundamental research by people personally involved in it. Throughout the funding period I will also organize a series of activities for Sixth Form students aimed at raising their awareness of fundamental research in particle physics, cosmology and quantum gravity (all related to my own work). Details on how I plan to deliver these impacts are given in Pathways to Impact.
My research project will also deliver impact in the form of training. Currently I supervise one Ph.D. student and co-supervise another. If the current proposal is successful, the Mathematics Department will offer a full Ph.D. studentship starting during the funding period. The Ph.D. student whom I will recruit will be working on a topic related to the proposed research. More details about a potential Ph.D. research project are given in the section DQ.S. in Case for Support. QFT is a very broad and diverse subject that involves methods from various different areas of mathematics. We ensure that our Ph.D. students become highly skilled, developing in areas such as: an ability to learn new mathematical methods quickly, creative problem solving, computation using algebraic manipulation software, critical thinking, and teamwork (by working as a part of a larger collaboration). Such transferrable skills will make these students highly valuable in both academia and in business.
Finally, this research project will ensure that the UK maintains a world-class reputation in the area of QFT, making it an attractive destination for both students and academics. In particular, I will work on raising the profile of women in STEM (science, technology, engineering and mathematics) subjects.
While the main direct impacts of this research will be to academic beneficiaries, there will also be benefits to society. In the long term, these benefits will be in the form of advancing knowledge and understanding of the world we live in and of our origins and place in the history of the Universe. In the shorter term, I will deliver societal impact by bringing the results of the cutting edge research in cosmology and quantum gravity closer to the public. I believe that it is important that the general public is informed about the newest results in fundamental research by people personally involved in it. Throughout the funding period I will also organize a series of activities for Sixth Form students aimed at raising their awareness of fundamental research in particle physics, cosmology and quantum gravity (all related to my own work). Details on how I plan to deliver these impacts are given in Pathways to Impact.
My research project will also deliver impact in the form of training. Currently I supervise one Ph.D. student and co-supervise another. If the current proposal is successful, the Mathematics Department will offer a full Ph.D. studentship starting during the funding period. The Ph.D. student whom I will recruit will be working on a topic related to the proposed research. More details about a potential Ph.D. research project are given in the section DQ.S. in Case for Support. QFT is a very broad and diverse subject that involves methods from various different areas of mathematics. We ensure that our Ph.D. students become highly skilled, developing in areas such as: an ability to learn new mathematical methods quickly, creative problem solving, computation using algebraic manipulation software, critical thinking, and teamwork (by working as a part of a larger collaboration). Such transferrable skills will make these students highly valuable in both academia and in business.
Finally, this research project will ensure that the UK maintains a world-class reputation in the area of QFT, making it an attractive destination for both students and academics. In particular, I will work on raising the profile of women in STEM (science, technology, engineering and mathematics) subjects.
Organisations
People |
ORCID iD |
| Katarzyna Anna Rejzner (Principal Investigator) |
Publications
Bahns D
(2017)
Local nets of von Neumann algebras in the Sine-Gordon model
Bahns D
(2021)
Local Nets of Von Neumann Algebras in the Sine-Gordon Model
in Communications in Mathematical Physics
Bahns D
(2017)
The Quantum Sine-Gordon Model in Perturbative AQFT
in Communications in Mathematical Physics
Brouder C
(2018)
Properties of field functionals and characterization of local functionals
in Journal of Mathematical Physics
Dable-Heath E
(2020)
Algebraic classical and quantum field theory on causal sets
in Physical Review D
Dable-Heath E
(2019)
Algebraic Classical and Quantum Field Theory on Causal Sets
Fewster C
(2021)
Local structure of sprinkled causal sets
in Physical Review D
Gwilliam O
(2020)
Relating Nets and Factorization Algebras of Observables: Free Field Theories
in Communications in Mathematical Physics
Hawkins E
(2020)
The star product in interacting quantum field theory
in Letters in Mathematical Physics
| Description | I made significant progress in understanding the algebraic structures relevant for quantum field theory (QFT), the theory underlying particle physics. In particular, I obtained some important results concerning the role of locality and possible generalization of my methods to non-local observables and non-local theories. I also got a better understanding of combinatorics and algebra underlying calculations made in QFT. These findings are relevant not only for understanding the mathematical structures underlying QFT, but can be also applied in other areas of mathematical physics and mathematics. In particular, my results are relevant for quantum gravity. |
| Exploitation Route | My results can have potential impact on understanding fundamental structures in quantum field theory and quantum gravity. My work on perturbative algebraic QFT (pAQFT) can be applied to QFT on causal sets, which aims at describing the fundamental structure of spacetime at small scales. This is a major conceptual problem in quantum gravity and I hope that my contribution will allow to make significant progress in this program. On the mathematical side, my research on relations between pAQFT and geometric and deformation quantization could open up a pathway to get a handle on deformation of infnite dimensional Poisson manifolds. |
| Sectors | Education |
| Description | Since my research is related to foundations of quantum theory and quantum gravity, my results inform public lectures I give during outreach activities and I use the insight I get to better explain complex mathematical ideas to general public. Through public engagement I not only attempt to raise awareness of general public to foundational research, but I also act as a role model, encouraging more women to pursue career in STEM subjects. |
| Sector | Education |
| Impact Types | Societal |
| Description | "String field theory, BV quantization, and moduli spaces", Stony Brook, 20/05/19 - 24/05/19 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "BV formalism in causal quantum field theory" The talk was well received and was followed by a discussion. The talk was recorded and is available at event's website. |
| Year(s) Of Engagement Activity | 2019 |
| URL | http://scgp.stonybrook.edu/archives/25214 |
| Description | "The Mysterious Universe: Dark Matter-Dark Energy-Cosmic Magnetic Fields" 20/05/19 - 8/06/19 Mainz, Germany |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | Workshop and research program organized in Mainz to bring together mathematicians, mathematical physicists and cosmologists working on problems related to the early universes. I gave a talk with the title "Observables in perturbative quantum gravity and perturbative quantum cosmology". The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2019 |
| Description | 10 February, "Non-local observables in quantum gravity from the algebraic QFT perspective", on-line seminar, Dublin Institute for Advanced Studies (DIAS) seminar series. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Non-local observables in quantum gravity from the algebraic QFT perspective", where I reported on some of my findings related to the award. The talk provoked some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2021 |
| Description | 12 June, "BV formalism in mathematical QFT", on-line seminar (Leeds). |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "BV formalism in mathematical QFT", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 12-16 October, Higher Structures Emerging from Renormalisation, panelist in discussion What is renormalisation? What next? |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I took part in the panel discussion, where I had a chance to talk about the results of my research and to discuss future directions. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 12-16 October, Quantum Spacetime and the Renormalization group, CP3-Origins (online workshop), panelist in discussion Future of Asymptotically Safe Gravity, chairing discussion Lorentzian signature. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I took part in/chaired discussions, where I had a chance to talk about the results of my research and to discuss future directions. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 13-14 January, Directions in quantum gravity, on-line conference hosted by the Centre for Cosmology and Particle Physics Phenomenology at the University of Southern Denmark (SDU) in Odense, |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Algebraic QFT on causal sets." The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2021 |
| Description | 13-17 July, Quantum Gravity 2020, Perimeter institute (on-line conference), chaired a discussion Lorentzian vs. Euclidean Quantum Gravit and co-chaired a panel discussion Time in Quantum Gravity. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I chaired two discussions on topics related to my research. This was also an opportunity to present the results of my research and discuss about possible directions for further research. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 18 January, "Non-local observables in quantum gravity from the algebraic QFT perspective", on-line seminar: Quantum Gravity Across Approaches |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Non-local observables in quantum gravity from the algebraic QFT perspective", where I reported on some of my findings related to the award. The talk provoked some interesting discussions and was well received. The participants of this on-line seminar series are mainly physicists and mathematical physicists working on quantum gravity. It was important for the dissemination of my results to reach out to that community. |
| Year(s) Of Engagement Activity | 2021 |
| Description | 2 December, "BV-BFV formalism and asymptotic structure of QED", on-line seminar, Mathematical Physics Group seminar series, Heriot-Watt University and the University of Edinburgh, Edinburgh, UK. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "BV-BFV formalism and asymptotic structure of QED", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 22-25 February, the main organizer organizers of the on-line workshop: Women at the Intersection of Mathematics and Theoretical Physics, hosted at the Perimeter Institute, Canada. |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I was the main organizer of the on-line workshop "Women at the Intersection of Mathematics and Theoretical Physics." In the past, I have participated in organization of previous events from this series, but this one was the first event taking place on-line. We have focused on mentoring and discussions, giving junior participants plenty of opportunities for networking and presenting the results of their research. The important impact of this event was to engage women from all over the world (many from disadvantaged backgrounds) and to encourage them to pursue research in mathematical physics. |
| Year(s) Of Engagement Activity | 2021 |
| Description | 24 November, "Symmetries and Master Ward Identity in perturbative Algebraic QFT", on-line seminar, Quantum Field Theory Seminar, University of Oxford, UK. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Symmetries and Master Ward Identity in perturbative Algebraic QFT", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2020 |
| Description | 5 and 12 January, "BV formalism - in perturbative algebraic QFT and using factorisation algebras: parts 1 and 2", on-line seminar, group research seminar in algebra and mathematical physics, Department of Mathematics, University of Hamburg, Germany. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a couple of talks with the title "BV formalism - in perturbative algebraic QFT and using factorisation algebras: parts 1 and 2", where I reported on some of my findings related to the award. The talks provoked some interesting discussions and were well received. |
| Year(s) Of Engagement Activity | 2021 |
| Description | 6 November, "Algebraic structures in perturbative AQFT", on-line seminar, seminar series Deformationsquantisierung, University of Würzburg, Germany. |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Algebraic structures in perturbative AQFT", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2020 |
| Description | Gauge summer with BV, Scalea (on-line workshop), 22-26 June |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Asymptotic structure of quantum electrodynamics from the BV-BFV perspective" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2020 |
| URL | https://monge.u-bourgogne.fr/gdito/GSBV/index.php?page=home |
| Description | Higher Structures Emerging from Renormalisation, ESI (on-line workshop), 12-16 October, 2020 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "A geometrical interpretation of Unitary Master Ward Identity" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2020 |
| Description | Hosting a visitor: Wojciech Dybalski (TU Munich) |
| Form Of Engagement Activity | A formal working group, expert panel or dialogue |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I invited Dr Dybalski to visit me in York for the period 31 Oct - 3 Nov to collaborate on the problem of understating long-range (IR) effects in quantum electrodynamics, using the methods of algebraic QFT and its extensions. Our collaboration is still on-going and I expect a publication resulting from it to appear withing a year or two. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Invited talk at the ICFT 22: Meeting on Integrable and Conformal Field Theory and Related Topics (Cardiff 2018) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Sine Gordon model from the perspective of perturbative algebraic quantum field theory", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Invited talk at the International Congress on Mathematical Physics 2018 (Montreal) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | This is a major conference of the mathematical physics community. Being invited to give a talk is a sign of recognition and an opportunity for networking. I presented a talk with the title "Perturbative algebraic quantum field theory: Where we are", where I reported on some of my findings related to the award. The talk sparkled some very interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| URL | https://icmp2018.org/prog/session/qft#cmspu_sd_p_667 |
| Description | Invited talk at the Isaac Newton Institute (Cambridge) Workshop: "Quantum field theory, renormalisation and stochastic partial differential equations" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Renormalized quantum BV operator and observables in gauge theories and gravity", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Invited talk at the colloquium: "Colloque des Sciences Mathématiques du Québec" (Montreal) |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Mathematical challenges in constructing quantum field theory models", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was very well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Invited talk at the conference "Algebraic Quantum Field Theory: Where Operator Algebra meets Microlocal Analysis" (Cortona, Italy) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Convergence in the perturbative AQFT framework: recent results and perspectives", where I reported on some of my findings related to the award. The talk sparkled many interesting discussions and was well received. I also started some new research projects during that meeting. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Invited talk at the conference "Quantum Investigations: A Conference in Honour of Miklós Rédei" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | This was a conference aimed at a broader audience, bringing together mathematicians, philosophers and physicists. Giving an invited talk there was not only a sign of recognition by the broader community, but also gave me a chance to disseminate my result in a wider circle. I presented a talk with the title "From perturbation theory to rigorous axioms: modern paradigm for studying foundations of QFT". It was very well received and sparkled some interesting discussions with philosophers about foundations of quantum theory. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Invited talk at the conference "The Philosophy and Physics of Noether's Theorems : A Centenary Conference on the 1918 work of Emmy Noether" (London) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | This was an interdisciplinary conference, bringing together mathematicians, physicists, philosophers and historians, all connected through the work of Emmy Noether. This even gave me an opportunity to present my work to a broader audience. I presented a talk with the title "From Noether theorems to BV quantization and beyond", which sparkled many interesting discussions and was well received, also by the general public members of the audience. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Invited talk at the conference "Women at the intersection of Mathematics and High Energy Physics" (Hamburg) |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | This event is a part of a series of conferences that happen more or less every year with the aim to encourage more women to pursue career in mathematical physics and provide the existing female researchers in the field with networking opportunities. I gave a talk related to my research finding with the title "Mathematical structures in quantum field theory: from axioms to Feynman graphs and back" that provoked some interesting discussions ad collaboration opportunities. I also took part in a panel discussion concerning the situation of women in STEM subjects and possible ways to improve things. The conclusions from the panel discussion were forwarded to the the policy-making body at the University of Hamburg, to inform the gender related policies in maths and physics departments. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Mathematics of Interacting Quantum Field Theory Models 1/07/19 - 5/07/19 York, United Kingdom |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I organized a 5-day workshop, bringing together world expert on mathematical QFT to discuss the state of the art in the field and outlook for future research. This was an opportunity for me to share my results, but also to network and get new ideas for projects I want to pursue in the future. The workshop was very successful and got good feedback from the participants. |
| Year(s) Of Engagement Activity | 2019 |
| URL | https://www.lqp2.org/node/1548 |
| Description | Maths: unlocking the world around us |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Schools |
| Results and Impact | The aim of the activity was to engage schools in the region with advanced mathematical topics. The particular focus was on female only schools, so the majority (about 80%) of pupils attending the events were girls. The feedback collected after the second event showed that 88% of the school students thought the sessions were fun and 100% thought the staff running the sessions were friendly. 84% said they knew more about topics studied in maths at university after attending the event. 68% said there were more female maths staff and students than they expected. |
| Year(s) Of Engagement Activity | 2017,2018 |
| Description | Oganizing the workshop: "Modern Mathematics of Quantum Theory" |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I organized a workshop that brought together some world top researchers working on mathematical structures in QFT. This activity was fully funded from the current award and it allowed me to make some new research contacts, start collaborations and share ideas with people who are experts in areas key to my project. The conference went down very well. There was a feedback survey after the conference, in which all participants praised the very productive atmosphere during the workshop and many of them got some new ideas that hlped them in their own work. |
| Year(s) Of Engagement Activity | 2017 |
| URL | https://www.lqp2.org/mmqt |
| Description | On-line conference, Scattering, microlocal analysis and renormalisation, Mittag-Leffler Institute |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Symmetries and locality in perturbative algebraic quantum field theory" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2020 |
| URL | http://www.mittag-leffler.se/konferens/scattering-microlocal-analysis-and-renormalisation-web |
| Description | Participation in the Simons Center program Operator Algebras and Quantum Physics, 16-26 June |
| Form Of Engagement Activity | Participation in an open day or visit at my research institution |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I participated in a program organized by the Simons Center for Geometry and Physics in Stony Brook. I discussed a lot with the other participants and residents and shared my results and ideas. I gave also a talk with the title "Constructing the net of von Neumann algebras for the sine-Gordon model" The talk has been recorded and is available at the portal of the Simons Center |
| Year(s) Of Engagement Activity | 2019 |
| URL | http://scgp.stonybrook.edu/video_portal/video.php?id=4174 |
| Description | Public lecture for the Archimedeans society (Cambridge) |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Undergraduate students |
| Results and Impact | This was a public lecture organized by the Archimedeans, the mathematics student society at the University of Cambridge. The topic was: "Mathematics at the intersection of quantum and gravity" and it was related to the current award, i.e. it concerned mathematical structures in quantum field theory and quantum gravity. The lecture was very well received, provoked many questions and an interesting discussion afterwards. Some of the students declared that it changed their perception of foundational research in QFT. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Quantum Spacetime and the Renormalization group, CP3-Origins (online workshop), 12-16 October, 2020 |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Algebraic quantum field theory on causal sets: what have we learnt?" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2020 |
| Description | Quantum gravity in Okinawa 23/07/19 - 27/07/19 Okinawa, Japan |
| Form Of Engagement Activity | Participation in an activity, workshop or similar |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Non-locality and observables in quantum gravity" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Research visit in Goettingen |
| Form Of Engagement Activity | Participation in an open day or visit at my research institution |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I visited Goettingen to collaborate with with Bahns and Fredenhagen on a project related to the award. The visit was very fruitful. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Research visit to Bonn to collaborate with Owen Gwilliam |
| Form Of Engagement Activity | A formal working group, expert panel or dialogue |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I made two research visit to Bonn: 4-11 January 2018 and 25-30 March 2018. The purpose of the visits was to work on the project aimed at relating pAQFT to factorization algebras, which is part of the main objectives of the current award. The visit was very successful and we made a lot of progress. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Research visit to Goettingen to collaborate with Bahns and Fredenhagen |
| Form Of Engagement Activity | A formal working group, expert panel or dialogue |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | Research visit to Goettingen (Germany) 28-30 May 2018. The purpose of the visit was to work on the project aimed at understanding of non-perturbative perspectives of pAQFT by studying the example of the sine-Gordon model. This is one of the objectives of the current award. The visit was very successful and we made a lot of progress. The paper is now in a perprint form, available on-line. |
| Year(s) Of Engagement Activity | 2018 |
| URL | https://arxiv.org/abs/1712.02844 |
| Description | Research visit to the Raman Research Institute in Bangalore to collaborate with Sumati Surya |
| Form Of Engagement Activity | A formal working group, expert panel or dialogue |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I visited Bangalore for one week, during which time I discussed with the researchers based there and with the other visitors. My primary reason for visit was the collaboration with Dr. Sumati Surya on a project related to the current award. I also gave a series of 3 lectures on algebraic quantum field theory to staff and research students at RRI. The lectures were very well received and I also had many interesting discussions during my stay. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Research visits to the Perimeter Institute |
| Form Of Engagement Activity | Participation in an open day or visit at my research institution |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I made several visits to the Perimeter Institute: 2-15 April 2019, 14 July - 7 September 2019, 20 October - 17 December 2019, 5-12 January 2020. During these visits I discussed with resident and visiting researchers, graduate students and undergraduate students from the Unviersity of Waterloo. These discussions allowed me to disseminate my results and get ideas for future research and collaborations. |
| Year(s) Of Engagement Activity | 2019,2020 |
| Description | Seminar talk at Imperial College London |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk at the Theory Group Seminar in the Department of Physics at the ICL, with the title "Algebraic QFT on curved spacetimes: observables, states and interactions", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. The visit also strengthened the research connections that I have with ICL and which are relevant to the award. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Seminar talk at University of Zuerich |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "BV quantization in perturbative algebraic quantum field theory: recent results and perspectives", where I reported on some of my findings related to the award. The talk sparkled many interesting discussions and was well received. The visit also strengthened the research connections that I have with the University of Zuerich and which are relevant to the award. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Seminar talk at the Jagiellonian University in Krakow |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk at the Field Theory seminar at the Physics Institute with the title "Mathematical perspective on perturbative QFT", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Seminar talk at the Mathematics Department of the Genoa University, Italy |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Construction of models in perturbative algebraic quantum field theory", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. The visit also strengthened the research connections that I have with Genoa and which are relevant to the award. I stayed the the whole week 14-20 October 2018 to collaborate with Prof. Nicola Pinamonti on a project concerning the application of pAQFT to the sine-Gordon model. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Seminar talk at the School of Mathematics, University of Durham |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Perturbative algebraic quantum field theory: results and perspectives", where I reported on some of my findings related to the award. The talk sparkled some very interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Seminar talk at the School of Mathematics, University of Leeds |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "From perturbation theory to operator algebras: the example of sine-Gordon model", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Seminar talk at the School of Mathematics, University of Manchester |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "BV quantization in perturbative algebraic QFT: Results and perspectives", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Seminar talk at the School of Mathematics, University of Manchester |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk at the Geometry, Topology and Mathematical Physics seminar with the title "From perturbation theory to rigorous axioms in quantum field theory", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Seminar talk at the University of Heidelberg (Germany) |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Approaching quantum gravity from the perturbative QFT perspective", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Seminar talk at the University of Oxford |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | A seminar talk given in the Maths Department at the University of Oxford, with the title "Convergence and new perspectives in perturbative algebraic quantum field theory", where I reported on some of my findings related to the award. |
| Year(s) Of Engagement Activity | 2017 |
| Description | Seminar talk at the University of Potsdam (Germany) |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | I presented a talk with the title "Locality in perturbative algebraic quantum field theory", where I reported on some of my findings related to the award. The talk sparkled some interesting discussions and was well received. The visit also strengthened the research connections that I have with Potsdam and which are relevant to the award. |
| Year(s) Of Engagement Activity | 2018 |
| Description | Talk at Institut Henri Poincaré in Paris, 1 April 2019 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | In this talk I shared my results on locality in quantum field theory with colleagues from Paris interested in mathematical structures in QFT. The title of the talk was: "Locality and its generalizations in quantum field theory and gravity". The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Talk at a CERN workshop "Quantum gravity and quantum information" |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | International |
| Primary Audience | Professional Practitioners |
| Results and Impact | A workshop organized at CERN to bring together researchers working on fundamental questions in quantum gravity and quantum information theory. I gave a talk with the title "Observables in quantum gravity". The talk has been recorded and is available through CERN portal. The information about the talk has also been posted on Twitter. |
| Year(s) Of Engagement Activity | 2019 |
| URL | https://indico.cern.ch/event/767345/ |
| Description | Talk at the mathematical physics seminar, Sheffield, 8 May 2019 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "Perturbative algebraic QFT - Example of the sine-Gordon model" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2019 |
| Description | Talk given at the mathematical physics seminar in Nottingham, 15 May 2019 |
| Form Of Engagement Activity | A talk or presentation |
| Part Of Official Scheme? | No |
| Geographic Reach | Regional |
| Primary Audience | Professional Practitioners |
| Results and Impact | I gave a talk with the title "BV formalism in Lorentzian and Euclidean QFT" The talk was well received and was followed by a discussion. |
| Year(s) Of Engagement Activity | 2019 |