I have been a postdoc since September 1st, 2023, in collaboration with Sylvie Méléard, in the team PEIPS in Centre de Mathématiques Appliquées (CMAP) of Ecole Polytechnique. My funding comes from the ERC SINGER obtained by Sylvie Méléard.
I was previously a postdoc from September 2022 to August 2023 in David Ginsbourger's team and Riccardo Gatto's team at the Institute of Mathematical Statistics and Actuarial Science. I also collaborated with the Department of BioMedical Research of Bern.
I obtained my PhD in the IMT laboratory in Toulouse, in the team Probability, under the supervision of Patrick Cattiaux and Manon Costa. My defense was in July 2022.
My resume is available in English .
(Last update: 2024/02/05).
I’m interested in several stochastic processes, in particular in ones which can be applied in biology.
In my current postdoc position, I study the dynamics of lineages, when the environment varies over time.
During my first postdoc position, I studied processes driven by SDEs, which model efficacy changes in drug therapy (loss of efficacy with time, and random emergence of better cure). I also developed a model of cell growth and studied its optimal design (i.e. the "best choice" for measuring moments to optimise the estimation of the parameters). It was a collaborative project with the Department of BioMedical Research of Bern (DBMR).
During my thesis, I worked on Hawkes process, which are jump processes. They model various phenomenas, such as occurrence of earthquakes – which is their traditional application, but isn’t used anymore - , spread of neuronal information, publications on social networks, etc. I studied their asymptotic behaviors when they are non-linear and inhibited.
To that end, I worked on more general processes, named cumulative processes, in order to obtain large deviations inequalities.
I've also studied processes following FitzHugh-Nagumo equations. They are continuous path processes. These equations model neuronal activity, in a simple way. In particular, I study propagation of chaos properties in a mean-field framework.
I also had the opportunity to make my internship of Master 1 in one of the pharmaceutical laboratory Servier, and to study compartment pharmacokinetic models.
Some talks were not on-site, but were online in visioconference. When it was the case, it is indicated. The default is on-site talks.
You can see the introduction on Hawkes processes and an insight of my work in the slides of my talk at the Seminary of PhD Students in Nantes.
I outlined cumulative process (also named renewal-reward process, or renewal compound process) in the short talk of Young Probabilists and Statiscians colloquium in October 2021. You'll find the slides here .
Taught in English. Probability. ODE. Applications in biology, biochemistry, economy.
Basic facts in Probability. Estimation, confidence intervals. Statistical tests.
Python 3. Euclidean algorithm, exponentiation by squaring, congruences.
Basic facts in Probability. Estimation, confidence intervals. Statistical tests.
Probability, sequences, usual functions, derivation, integration, ODE
Probability, sequences, usual functions, derivation, integration, ODE
Python 3. Monte-Carlo Method, Gaussian Model, Branching process, Poisson process, etc.
Study of the dynamics of lineage when the environment varies over time.
Funds from the ERC grant SINGER obtained by Sylvie Méléard.
Postdoc position on modeling the efficacy of drug treatments. On the one hand, study of stochastic properties of a process driven by a SDE, with random breaks corresponding to random changes in treatment. On the other hand, developing with colleagues from the Department of Biomedical Research of Bern a model of cell growth and studying its statistical properties and its optimal design.
Funds from the UniBE ID Grant (Interdisciplinary grant from the University of Bern) provided to the project of Riccardo Gatto.
Postdoc position on process driven by SDE, which models random changes in drug therapy.
Under the supervision of Patrick Cattiaux and of Manon Costa.
Title : On asymptotic behavior of stochastic processes in neuroscience
Defense : July 4th, 2022
Jury :
Lycée Champollion, Grenoble. MP* branch, Informatic option.
CMAP
Ecole Polytechnique
Route de Saclay
91128 Palaiseau Cedex
Bureau 00 20 34 (1er étage, aile 0)