Madeleine Kubasch

Madeleine Kubasch

Postdoctoral researcher in Applied Mathematics

CMAP, École polytechnique

IEES, Sorbonne Université

About me

I’m an applied mathematician working on population dynamics, particularly on random networks, arising in various fields such as epidemiology and ecology. I am highly interested in stochastic models, such as stochastic differential equations and branching processes, and their large population limits.

Currently, I’m a postdoctoral researcher, working with Nicolas Loeuille (IEES, Sorbonne Université) and Manon Costa (Institut Mathématique de Toulouse). The project focuses on understanding how different agricultural landscapes shape biodiversity, and is funded by the Chair “Modélisation Mathématique et Biodiversité” (Veolia Environnement - École Polytechnique - Muséum national d’Histoire naturelle - Fondation X).

During my thesis, I have considered an epidemic model with two levels of mixing, namely a uniformly mixing global level, and a local level structured into households and workplaces. Main results include insights on the epidemic footprint of the workplace size distribution, as well as the development of reduced models. This thesis was conducted under the supervision of Vincent Bansaye (CMAP, Ecole polytechnique) and Elisabeta Vergu (Maiage, INRAE).

Interests
  • Stochastic processes
  • Population dynamics
  • Random graphs
  • Mathematical biology
Education
  • PhD in Applied Mathematcs, 2021 - 2024

    École polytechnique, Palaiseau & INRAE, Jouy-en-Josas, France

  • MSc in Applied Mathematics, 2021

    Sorbonne Université, Paris, France

  • BSc in Life Sciences, 2019

    Magistère de Génétique, Université de Paris, Paris, France

  • BSc in Mathematics, 2018

    Sorbonne Université, Paris, France

Recent Publications

(2024). The epidemiological footprint of contact structures in models with two levels of mixing. Journal of Mathematical Biology.

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