Office: C2.21 Phone: +44 (0)24 761 50041 Email: M dot Wolfram at warwick dot ac dot uk

 

Responsibilities 2024/25:

Term 1: MA265 Methods for Mathematical Modelling and MA4M2 Inverse Problems

I am running the EDI committee with James Sprittles.

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Research Interests: Applied partial differential equations, mathematical modeling in socio-economic applications and the life sciences, inverse problems.

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Upcoming workshops/conferences/seminars

• GAMM annual meeting, 7-11 April, 2025, Poznan, Poland
• Workshop on 'Everything You Always Wanted to Know About Discretization, Approximation, and Numerical Analysis for the JKO Scheme', Lyon 16.4-17.4, 2025
• MFO workshop on 'Singularities in Discrete Systems', 5-9 May, 2025, MFO Germany
• BIRS workshop on 'Wasserstein Gradient Flows in Maths and Machine Learning', 29 June - 4 July 2025, Banff, Canada
• OMG-DMV conference, 1-5 Sept 2025, Linz, Austria
• Co-organiser of a Matrix workshop 'From Agent Based Models to Nonlinear PDEs in Life and Social Science', Melbourne, Australia, July 2026.
• Co-organiser of an INI Program on 'Optimal Transport, 2027

Selected publications:

• A. Lachapelle, M.T. Wolfram, On a mean field game approach modeling congestion and aversion in pedestrian crowds , Trans. Res.: Part B 45(10), 2011

• M. Burger, B. Schlake, M.T. Wolfram, Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries, Nonlinearity, 25, 961-990, 2012

• M. Burger, L. Cafferelli, P.A. Markowich, M.T. Wolfram, On a Boltzmann type price formation model, Proc. R. Soc. A, 469(2157), 20130126, 2013
• M. Bruna, M. Burger, H. Ranetbauer, M.T. Wolfram, Cross-diffusion systems with excluded volume effects and asymptotic gradient flows, JNLS 27(2), 2016.
• S. Gomes, A. Stuart, M.T. Wolfram, Parameter estimation for macroscopic pedestrian dynamics models from microscopic data, SIAP 79(4)., 2019.
• A. Stuart, M.T. Wolfram, Inverse optimal transport, SIAP 80(1), 2020.

Research grants & Prizes

• Excellence in Gender Equality Award of the University of Warwick, 2023
• Whitehead Prize of the London Mathematical Society, 2023
• Small Grant on 'Online Inverse Optimal Transport for Learning Societal Flows', with A. Duncan, EPSRC, 2022-2023
• Royal Society International Exchange on 'Kinetic opinion formation models for digital sciences', with M. Zanella, Royal Soc, 2022-2024
• Royal Society International Exchange on 'Parameter Estimation in Nonlinear PDE Models for Crowd Motion', with A. Stuart, Royal Soc, 2017-2020
• First Grant on 'Boltzmann-type and mean-field models in socio-economic applications', EPSRC, 2017-2019
• New Frontiers Group on 'Multiscale modelling and simulation of crowded transport in the life and social sciences', Austrian Academy of Sciences, 2014-2020
• Hertha Firnberg Project on 'Computational mean field games and applications', Austrian Science Fund FWF, 2010-2013

Academic services:

• Member of the Young Academy (Austrian Academy of Sciences) from 2014-2022
• Member of the London Mathematical Society, the European Mathematical Society and the European Women in Mathematics
• Member of the Applications and Interdisciplinary Relations (CAIR) committee of the European Mathematical Society
• Associate editor: Transactions of Mathematics and its Applications, Kinetic and Related Models,  SN Partial Differential Equations and Applications.
• Editor: Zeitschrift fuer Angewandte Mathematik und Physik, Physica D