About me
I'm a Hooke Research Fellow at the University of Oxford. In 2025, I completed a DPhil in Mathematical Biology under the supervision of Prof. R. Baker and Prof. J. A. Carrillo, following undergraduate studies in Physics and Mathematics at the Universitat Autònoma de Barcelona.
My name is pronounced [kárles].
Research
I study how cells interact with each other to produce coordinated collective behaviours – for example, how they move together, regenerate an injured tissue, or self-organise into patterns during embryonic development. Have a look at the formation of cell aggregates driven by cell–cell adhesion in the animation below!
To do this, I develop mathematical models that describe these interactions, combining ideas from particle systems, partial differential equations, and data-driven inference. I work closely with experimental collaborators to connect theory with real biological data. I'm also interested in the mathematical analysis of these models to better understand their underlying principles and behaviour.
Experience
October 2025 - present: Hooke Research Fellow at Mathematical Institute, Univesity of Oxford.
October 2022 - September 2025: Stipendiary Lecturer in Mathematics at St Hugh's College, University of Oxford.
DPhil in Mathematics, University of Oxford, 2021-2025.
BSc in Mathematics, Universitat Autònoma de Barcelona, 2016-2021.
BSc in Physics, Universitat Autònoma de Barcelona, 2016-2021.
Exchange student, University of California, Santa Barbara, 2018-2019.