Research activity : stochastic multiscale processes in reproductive biology.

I am a third year Phd student working under the supervision of Frédérique Clément and Romain Yvinec. I work at Inria Saclay in the MUSCA team and at INRAE Centre Val de Loire.

My main research interests are probability theory and its application to biology. Concerning mathematical analysis, I focus on studying stochastic processes (such as structured population dynamics or multiscale process) from a probability perspective, for example proving limit theorems or extinction times. I am also interested in numerical simulations of these processes in order to estimate parameters of dynamic models. The biological applications I am working on are cell populations, evolutionary biology and gene expression.

Teaching

• Probability and Statistics (TD, 2021/2022, L1 Informatique, IUT d’Orsay)
• Graphs (TD/TP, 2021/2022, L1 Informatique, IUT d’Orsay)
• Discrete mathematics (TD/TP, first semester 2020/2021, L1 Informatique, IUT d’Orsay)
• Algebra (TD/TP, first semester 2020/2021, L1 Informatique, IUT d’Orsay)

Publications

• G. Ballif, F. Clément & R. Yvinec. Averaging of a stochastic slow-fast model for population dynamics: Application to the development of ovarian follicles. SIAM Journal on Applied Mathematics, 2022, 82(1): 359-380.
• G. Ballif, F. Clément & R. Yvinec. Nonlinear compartmental modeling to monitor ovarian follicle population dynamics on the whole lifespan. Submitted to Journal of Mathematical Biology.