Maths Research Associates 2021 Nottingham

Lead Research Organisation: University of Nottingham
Department Name: Sch of Mathematical Sciences

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.

Publications

10 25 50
 
Description This grant supported 6 Research Associates for periods from 6 to 12 months. Their research spanned several areas of Mathematical Sciences (Applied Mathematics, Pure Mathematics, Mathemetical Physics) and their work made important contribution in the following topics: Optimization, Stochastic Differential Equations, Computational Mathematics, Modular Forms, Number Theory, String Theory, and Gravitation.
Exploitation Route The research outcomes of this award will lead to further advances to several areas of Computational Mathematics, Number theory, and Mathematical Physics and might have more long-term impact on sectors such as Engineering and Finance.
Sectors Other

 
Description Computational methods for colliding particles under constant temperature
Amount £3,000 (GBP)
Organisation International Centre for Mathematical Sciences (ICMS) 
Sector Academic/University
Country United Kingdom
Start 08/2022 
End 09/2022
 
Description Stochastic Numerics for Sampling on Manifolds
Amount £80,189 (GBP)
Funding ID EP/X022617/1 
Organisation Engineering and Physical Sciences Research Council (EPSRC) 
Sector Public
Country United Kingdom
Start 03/2023 
End 03/2024
 
Description Collaborations with Matthes, Dorigoni, Doroudiani, Hidding, Kleinschmidt, Schlotterer and Verbeek 
Organisation Durham University
Country United Kingdom 
Sector Academic/University 
PI Contribution This colloboration is on 'Modular graph forms from equivariant iterated Eisenstein integrals': Joshua Drewitt worked with Nils Matthes to help provide a Number theory perspective to the problem in String theory of understanding modular graph forms, and how they connect to Francis Brown's real analytic modular forms. He used his previous reserach on real analytic modular forms including his work on 'Laplace-eigenvalue equations for length three modular iterated integrals' to help find this connection.
Collaborator Contribution Using the above Daniele Dorigoni, Axel Kleinschmidt and Oliver Schlotterer built upon their previous theory from 'Poincaré series for modular graph forms at depth two' Parts I and II to provide the first validations that modular graph forms are contained in the space of real analytic modular forms. Mehregan Doroudiani, Martijn Hidding, and Bram Verbeek were also crucial in providing this validation and were a key part of producing a large dataset of explicit examples in mathematica.
Impact Modular graph forms from equivariant iterated Eisenstein integrals https://link.springer.com/article/10.1007/JHEP12(2022)162
Start Year 2021
 
Description Collaborations with Matthes, Dorigoni, Doroudiani, Hidding, Kleinschmidt, Schlotterer and Verbeek 
Organisation Max Planck Society
Department Max Planck Institute for Gravitational Physics
Country Germany 
Sector Academic/University 
PI Contribution This colloboration is on 'Modular graph forms from equivariant iterated Eisenstein integrals': Joshua Drewitt worked with Nils Matthes to help provide a Number theory perspective to the problem in String theory of understanding modular graph forms, and how they connect to Francis Brown's real analytic modular forms. He used his previous reserach on real analytic modular forms including his work on 'Laplace-eigenvalue equations for length three modular iterated integrals' to help find this connection.
Collaborator Contribution Using the above Daniele Dorigoni, Axel Kleinschmidt and Oliver Schlotterer built upon their previous theory from 'Poincaré series for modular graph forms at depth two' Parts I and II to provide the first validations that modular graph forms are contained in the space of real analytic modular forms. Mehregan Doroudiani, Martijn Hidding, and Bram Verbeek were also crucial in providing this validation and were a key part of producing a large dataset of explicit examples in mathematica.
Impact Modular graph forms from equivariant iterated Eisenstein integrals https://link.springer.com/article/10.1007/JHEP12(2022)162
Start Year 2021
 
Description Collaborations with Matthes, Dorigoni, Doroudiani, Hidding, Kleinschmidt, Schlotterer and Verbeek 
Organisation Solvay
Country Global 
Sector Private 
PI Contribution This colloboration is on 'Modular graph forms from equivariant iterated Eisenstein integrals': Joshua Drewitt worked with Nils Matthes to help provide a Number theory perspective to the problem in String theory of understanding modular graph forms, and how they connect to Francis Brown's real analytic modular forms. He used his previous reserach on real analytic modular forms including his work on 'Laplace-eigenvalue equations for length three modular iterated integrals' to help find this connection.
Collaborator Contribution Using the above Daniele Dorigoni, Axel Kleinschmidt and Oliver Schlotterer built upon their previous theory from 'Poincaré series for modular graph forms at depth two' Parts I and II to provide the first validations that modular graph forms are contained in the space of real analytic modular forms. Mehregan Doroudiani, Martijn Hidding, and Bram Verbeek were also crucial in providing this validation and were a key part of producing a large dataset of explicit examples in mathematica.
Impact Modular graph forms from equivariant iterated Eisenstein integrals https://link.springer.com/article/10.1007/JHEP12(2022)162
Start Year 2021
 
Description Collaborations with Matthes, Dorigoni, Doroudiani, Hidding, Kleinschmidt, Schlotterer and Verbeek 
Organisation University of Copenhagen
Country Denmark 
Sector Academic/University 
PI Contribution This colloboration is on 'Modular graph forms from equivariant iterated Eisenstein integrals': Joshua Drewitt worked with Nils Matthes to help provide a Number theory perspective to the problem in String theory of understanding modular graph forms, and how they connect to Francis Brown's real analytic modular forms. He used his previous reserach on real analytic modular forms including his work on 'Laplace-eigenvalue equations for length three modular iterated integrals' to help find this connection.
Collaborator Contribution Using the above Daniele Dorigoni, Axel Kleinschmidt and Oliver Schlotterer built upon their previous theory from 'Poincaré series for modular graph forms at depth two' Parts I and II to provide the first validations that modular graph forms are contained in the space of real analytic modular forms. Mehregan Doroudiani, Martijn Hidding, and Bram Verbeek were also crucial in providing this validation and were a key part of producing a large dataset of explicit examples in mathematica.
Impact Modular graph forms from equivariant iterated Eisenstein integrals https://link.springer.com/article/10.1007/JHEP12(2022)162
Start Year 2021
 
Description Collaborations with Matthes, Dorigoni, Doroudiani, Hidding, Kleinschmidt, Schlotterer and Verbeek 
Organisation Uppsala University
Country Sweden 
Sector Academic/University 
PI Contribution This colloboration is on 'Modular graph forms from equivariant iterated Eisenstein integrals': Joshua Drewitt worked with Nils Matthes to help provide a Number theory perspective to the problem in String theory of understanding modular graph forms, and how they connect to Francis Brown's real analytic modular forms. He used his previous reserach on real analytic modular forms including his work on 'Laplace-eigenvalue equations for length three modular iterated integrals' to help find this connection.
Collaborator Contribution Using the above Daniele Dorigoni, Axel Kleinschmidt and Oliver Schlotterer built upon their previous theory from 'Poincaré series for modular graph forms at depth two' Parts I and II to provide the first validations that modular graph forms are contained in the space of real analytic modular forms. Mehregan Doroudiani, Martijn Hidding, and Bram Verbeek were also crucial in providing this validation and were a key part of producing a large dataset of explicit examples in mathematica.
Impact Modular graph forms from equivariant iterated Eisenstein integrals https://link.springer.com/article/10.1007/JHEP12(2022)162
Start Year 2021