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Faculty of Mathematics



  • 2019-present: University Lecturer, DAMTP, University of Cambridge.
  • 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. 


Fully funded PhD studentship for a UK/EU national available from October 2020. Deadline 31st of January 2020. More information here

Selected Publications

  • L. C. B. Alasio, M. Bruna, and J. A. Carrillo. “The role of a strong confining potential in a nonlinear Fokker–Planck equation”. Nonlinear Analisis (2019).
  • L. Alasio, M. Bruna, and Y. Capdeboscq. “Stability estimates for a family of cross-diffusion systems”. ESAIM: M2AN 52 (2018), pp. 1109–1135.
  • D. B. Wilson, H. Byrne, and M. Bruna. “Reactions, diffusion, and volume exclusion in a conserved system of interacting particles”. Phys. Rev. E 97.6 (2018), p. 062137.
  • M. Bruna, S. J. Chapman, and M. Robinson. “Diffusion of particles with short-range interactions”. SIAM J. Appl. Math. 77.6 (2017), pp. 2294–2316.
  • M. Bruna, M. Burger, H. Ranetbauer, and M.-T. Wolfram. “Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures”. J. Nonlinear Sci. 27.2 (2017), pp. 687–719.
  • M. P. Dalwadi, I. M. Griffiths, and M. Bruna. “Understanding how porosity gradients can make a better filter using homogenization theory”. Proc. R. Soc. A 471 (2015), p. 20150464.
  • M. Bruna and S. J. Chapman. “Diffusion in Spatially Varying Porous Media”. SIAM J. Appl. Math. 75.4 (2015), pp. 1648–1674.
  • M. Bruna, S. J. Chapman, and M. J. Smith. “Model reduction for slow–fast stochastic systems with metastable behaviour”. J. Chem. Phys. 140.17 (2014), p. 174107.
  • M. Bruna and S. J. Chapman. “Excluded-volume effects in the diffusion of hard spheres”. Phys. Rev. E 85.1 (2012), p. 011103.


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
One-dimensional model for chemotaxis with hard-core interactions
T Ralph, SW Taylor, M Bruna
– Physical review. E
The role of a strong confining potential in a nonlinear Fokker-Planck equation
L Alasio, M Bruna, JA Carrillo
– Nonlinear Analysis
The influence of porous-medium microstructure on filtration
G Printsypar, M Bruna, IM Griffiths
– Journal of Fluid Mechanics
Stability estimates for systems with small cross-diffusion
L Alasio, M Bruna, Y Capdeboscq
– ESAIM Mathematical Modelling and Numerical Analysis
Reactions, diffusion, and volume exclusion in a conserved system of interacting particles
DB Wilson, H Byrne, M Bruna
– Physical review. E
Diffusion of Particles with Short-Range Interactions
M Bruna, SJ Chapman, M Robinson
– SIAM Journal on Applied Mathematics
Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures
M Bruna, M Burger, H Ranetbauer, M-T Wolfram
– Journal of Nonlinear Science
Thermal Homogenization of Electrical Machine Windings Applying the Multiple-Scales Method
P Romanazzi, M Bruna, DA Howey
– Journal of Heat Transfer
Particle-based and meshless methods with Aboria
M Robinson, M Bruna
– SoftwareX
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Research Groups

Fluid Mechanics
Solid Mechanics




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