Maths Research Associates 2021 ICL
Lead Research Organisation:
Imperial College London
Department Name: Mathematics
Abstract
Abstracts are not currently available in GtR for all funded research. This is normally because the abstract was not required at the time of proposal submission, but may be because it included sensitive information such as personal details.
People |
ORCID iD |
David Van Dyk (Principal Investigator) |
Publications
Barki A
(2023)
Exponential inequalities in probability spaces revisited
Cass T
(2024)
On the Wiener chaos expansion of the signature of a Gaussian process
in Probability Theory and Related Fields
Chiu H
(2023)
A model-free approach to continuous-time finance
in Mathematical Finance
Chiu H
(2022)
Causal functional calculus
in Transactions of the London Mathematical Society
Esther Bou Dagher
(2022)
Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions
in arXiv e-prints
Esther Bou Dagher
(2022)
Interpolation inequalities on the sphere: rigidity, branches of solutions, and symmetry breaking
in arXiv e-prints
Hairer M
(2024)
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality
in Archive for Rational Mechanics and Analysis
Hairer Martin
(2023)
The BPHZ Theorem for Regularity Structures via the Spectral Gap Inequality
in arXiv e-prints
Description | LMS Early Career Fellowships 2022-23 with support from the Heilbronn Institute for Mathematical Research (HIMR) and UKRI |
Amount | £8,600 (GBP) |
Organisation | London Mathematical Society |
Sector | Academic/University |
Country | United Kingdom |
Start | 10/2022 |
End | 02/2023 |
Description | Travel Grant to attend the Summer School on "Khintchine's Inequality: old and new" |
Amount | € 500 (EUR) |
Organisation | Henri Poincaré Institute |
Sector | Academic/University |
Country | France |
Start | 06/2023 |
End | 06/2023 |
Description | Rama Cont |
Organisation | University of Oxford |
Country | United Kingdom |
Sector | Academic/University |
PI Contribution | Research |
Collaborator Contribution | Research |
Impact | One publication in Mathematical Finance One publication in the Transaction of the London Mathematical Society |
Start Year | 2016 |
Description | 11th World Congress of Bachelier Finance Society |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Professional Practitioners |
Results and Impact | Present latest research. Outcome (publication) has been attributed to this grant. |
Year(s) Of Engagement Activity | 2022 |
URL | http://www.bacheliercongress.com/2022/~bfs2020/index.html |
Description | Arbeitsgemeinschaft Angewandte Analysis Seminar, Max Planck Institute for Mathematics in the Sciences |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Professional Practitioners |
Results and Impact | Presented results from my PhD thesis along with new research results attributed to this grant. |
Year(s) Of Engagement Activity | 2022 |
Description | Beijing Webinar Talk on BPHZ |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Postgraduate students |
Results and Impact | Delivered an invited seminar talk to postgraduates and researchers on our paper "the BPHZ Theorem in Regularity Structures via the Spectral Gap Inequality" at a Zoom seminar hosted by the University of Beijing. Following the talk, engaged in some discussion of the work in hopes of supporting interest at the university of Beijing in establishing a reading group around that paper. |
Year(s) Of Engagement Activity | 2023 |
URL | https://math.bit.edu.cn/xsbg/da8f6186fb5f4b5fa71298fecd1797e1.htm |
Description | London Analysis Seminar, University 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 | Presented results from my PhD thesis along with new research results attributed to this grant. |
Year(s) Of Engagement Activity | 2022 |
Description | Presentation to the Vienna Probability Seminar on BPHZ |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | National |
Primary Audience | Postgraduate students |
Results and Impact | Delivered a seminar talk to the joint Vienna probability seminar on our paper "The BPHZ Theorem in Regularity Structures via the Spectral Gap Inequality". In addition, spent some time in further discussions about the feasibility of using the techniques of that paper to obtain sharp convergence rates for various approximations to singular SPDEs. |
Year(s) Of Engagement Activity | 2023 |
Description | Presentation to the analysis and probability working group at the Max Planck Institute |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | National |
Primary Audience | Postgraduate students |
Results and Impact | Delivered a presentation on our paper "the BPHZ Theorem in Regularity Structures via the Spectral Gap Inequality" the postgraduates and research staff in the analysis and probability section at the Max Planck Institute. Following that morning presentation, engaged in an afternoon/evening long technical discussion with authors of a previous related work and made plans for a future visit to further implement some of the resulting ideas. |
Year(s) Of Engagement Activity | 2023 |
URL | https://www.mis.mpg.de/calendar/lectures/2023/abstract-35227.html |
Description | Talk at Algebraic and Combinatorial Perspectives in the Mathematical Sciences Seminar, Oslo (virtual) |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Postgraduate students |
Results and Impact | Seminar talk with the title "A transfer principle for branched rough paths" |
Year(s) Of Engagement Activity | 2022 |
URL | https://www.math.ntnu.no/acpms/view_talk.html?id=119 |
Description | Talk at Analysis Seminar, Potsdam (virtual) |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Postgraduate students |
Results and Impact | A seminar talk with the title "The combinatorics and geometry of rough paths" |
Year(s) Of Engagement Activity | 2022 |
URL | https://www.math.uni-potsdam.de/en/professuren/datenassimilation/aktivitaeten/details/veranstaltungs... |
Description | Women in Maths: Applying to a PhD |
Form Of Engagement Activity | Participation in an activity, workshop or similar |
Part Of Official Scheme? | No |
Geographic Reach | Local |
Primary Audience | Undergraduate students |
Results and Impact | Around 12 undergraduates and MSc students at Imperial College attended the event. The event was co-organised by Piscopia, where I am an Imperial College postdoc representative. The aim of the event was to encourage women and non-binary students to pursue a PhD in mathematics. |
Year(s) Of Engagement Activity | 2022 |
Description | Workshop at the Instituto Argentino de Matemática "Alberto Calderón", CONICET |
Form Of Engagement Activity | A talk or presentation |
Part Of Official Scheme? | No |
Geographic Reach | International |
Primary Audience | Professional Practitioners |
Results and Impact | Presented results from my PhD thesis along with unpublished ongoing work with Boguslaw Zegarlinski (Prof., University of Toulouse). |
Year(s) Of Engagement Activity | 2022 |