apolline.louvet[at]polytechnique.edu

Since September 2022, I am a postdoc at the University of Bath, under the supervision of Matt Roberts. From September 2019 to August 2022, I was a PhD student in applied mathematics at the CMAP laboratory (Ecole Polytechnique) and the MAP5 laboratory (UniversitĂ© de Paris), as well as a a teaching assistant at the department of applied mathematics of Ecole Polytechnique (DepMAP). I did my PhD under the supervision of Amandine VĂ©ber (mathematician at CNRS) and Nathalie Machon (ecologist at the French National Museum of Natural History). The manuscript of my thesis, titled "Probabilistic population genetics models for expanding populations", can be found here, while a short summary can be found here.

I develop and study stochastic population dynamics and population genetics models for populations out of equilibrium, such as expanding populations or populations affected by frequent extinction events. This covers a wide variety of models, such as space-continuous measure-valued population genetics processes, variants of the Wright-Fisher model with a seed bank component, or branching processes.

While these models are interesting in their own right from a mathematical viewpoint, they also present applications in ecology, as "proofs of concept" that some biological phenomenon observed in real life can be reproduced only using stochasticity in reproduction, or as bases to build estimators and perform statistical inference on real data. Therefore, my research interests also include the application of the models I study to questions arising in plant ecology and urban ecology.