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Department of Applied Mathematics and Theoretical Physics


  • 2019-present: Royal Society University Research Fellowship, DAMTP, University of Cambridge.
  • 2019-present: Fellow of Churchill College, Cambridge, UK.
  • 2013-2019: Junior Research Fellow in Mathematics, St John's College, Oxford, UK.
  • 2015: Olga Taussky Pauli Fellow and Senior Postdoctoral Researcher. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Vienna, Austria.
  • 2012-2013: Postdoctoral Researcher, Computer Science Department, Oxford.


Maria is a member of the Department of Applied Mathematics and Theoretical Physics. Her research interests are stochastic modelling, asymptotic methods and homogenisation techniques in the areas of mathematical biology and industrial mathematics. Her research focuses on methods to capture multiscale phenomena of stochastic systems of interacting particles. 


There are no vacancies at the moment . 


Diffusion of finite-size particles in confined geometries.
M Bruna, SJ Chapman
– Bull Math Biol
Diffusion of multiple species with excluded-volume effects.
M Bruna, SJ Chapman
– The Journal of Chemical Physics
Recovering vanadium during the production of steel from iron sand
WL Sweatman, GC Wake, L Fullard, M Bruna
– ANZIAM Journal
Excluded-volume effects in the diffusion of hard spheres.
M Bruna, SJ Chapman
– Physical review. E, Statistical, nonlinear, and soft matter physics
Particle-based simulations of reaction-diffusion processes with Aboria
M Bruna, PK Maini, M Robinson
Asymptotic gradient flow structures of a nonlinear Fokker-Planck equation
M Bruna, M Burger, H Ranetbauer, M-T Wolfram
Active Crowds
M Bruna, M Burger, J-F Pietschmann, M-T Wolfram
Existence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal drifts
L Alasio, M Bruna, S Fagioli, S Schulz
Phase Separation in Systems of Interacting Active Brownian Particles
M Bruna, M Burger, A Esposito, SM Schulz
Well-posedness of an integro-differential model for active Brownian particles
M Bruna, M Burger, A Esposito, S Schulz
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Research Groups

Cantab Capital Institute for the Mathematics of Information
Fluid Mechanics
Soft Matter
Solid Mechanics




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