Royal Society University Research Fellow
I am a Royal Society University Research Fellow at the Mathematical Institute, University of Oxford. My research focuses on stochastic interacting particle systems and their applications to biological and industrial processes.
Until 2024, I was a University Lecturer at the Department of Applied Mathematics and Theoretical Physics (DAMTP) at the University of Cambridge. In 2021, I held a Humboldt Research Fellowship at FAU Erlangen. Between 2013 and 2018, I was a Junior Research Fellow in Mathematics at St John's College, Oxford. In 2012, I completed a DPhil in Applied Mathematics at Oxford under the supervision of Jon Chapman. In 2008, I graduated with an MSc in Mathematical Modelling and Scientific Computing at the same university. In 2007, I obtained undergraduate degrees in Mathematics and Industrial Engineering from Universitat Politècnica de Catalunya in Barcelona, where I am from.
My research focuses on developing mathematical methods to study collective behaviour in interacting particle systems. The goal is to understand how large-scale patterns and behaviours emerge from the interactions of individual particles, which is crucial in many applications. For example, how do ants coordinate complex tasks such as building their nest and maintain social order in colonies with thousands of individuals? Capturing these dynamics in mathematical models is challenging, especially when particles strongly repel each other, such as in crowded environments.
In particular, I am interested in:
Bruna, M. (2012). Excluded-volume effects in stochastic models of diffusion. University of Oxford.
Office: S2.03
email: bruna@maths.ox.ac.uk.
Address: Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford OX2 6GG