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Department of Applied Mathematics and Theoretical Physics

Career

  • 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.

Research

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. 

Vacancies

There are no vacancies at the moment . 

Publications

Well-posedness of an integro-differential model for active Brownian particles
M Bruna, M Burger, A Esposito, S Schulz
(2021)
Phase Separation in Systems of Interacting Active Brownian Particles
M Bruna, M Burger, A Esposito, SM Schulz
(2021)
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
(2021)
Coarse graining of a Fokker–Planck equation with excluded volume effects preserving the gradient-flow structure
M Bruna, M Burger, JA Carrillo
– European Journal of Applied Mathematics
(2020)
32,
711
A one-dimensional model for chemotaxis with hard-core interactions
T Ralph, SW Taylor, M Bruna
– Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
(2020)
101,
022419
The role of a strong confining potential in a nonlinear Fokker–Planck equation
L Alasio, M Bruna, JA Carrillo
– Nonlinear Analysis, Theory, Methods and Applications
(2019)
193,
111480
The influence of porous-medium microstructure on filtration
G Printsypar, M Bruna, IM Griffiths
– Journal of Fluid Mechanics
(2019)
861,
484
Stability estimates for systems with small cross-diffusion★★★
L Alasio, M Bruna, Y Capdeboscq
– ESAIM: Mathematical Modelling and Numerical Analysis
(2018)
52,
1109
Reactions, diffusion, and volume exclusion in a conserved system of interacting particles.
DB Wilson, H Byrne, M Bruna
– Phys Rev E
(2018)
97,
062137
Particle-based simulations of reaction-diffusion processes with Aboria
M Bruna, PK Maini, M Robinson
(2018)
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Research Groups

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

Room

G1.10

Telephone

01223 760370