Matthias Rakotomalala

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Postdoctoral Researcher in Mathematics at the Technical University of Munich.
✉ matthias.rakotomalala@tum.de

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I am currently a postdoctoral researcher at the Technical University of Munich, affiliated with the Chair of Analysis and Modelling (Prof. Johannes Zimmer). I defended my PhD in Applied Mathematics on September 3, 2025, at École polytechnique (CMAP), under the supervision of Dr. Charles Bertucci (Chargé de recherche, CNRS). My thesis, On some systems of partial differential equations of the mean-field type, is available here.

Research Interests

My research focuses on the analysis of partial differential equations and stochastic differential equations. It orbits around understanding the emergence of collective behaviors in mean-field models of large populations of interacting agents or particles, with applications in biology, economics, and physics.

Monte Carlo Simulation of an ant-like active matter model Monte Carlo particle simulations of the model introduced in this paper, motivated by collective ant behavior.