Léo Girardin

	Contact details
	Postal address: Léo Girardin Laboratoire de Mathématiques d’Orsay Université Paris Sud, CNRS Université Paris-Saclay 91405 Orsay Cedex France
	Office: 2G1
	E-mail address: myfirstname.mylastname@math.u-psud.fr
The beautiful Iguazu Falls and some dude right in front of them.

Curriculum vitae

Here is an English version, there is a French version.

To be brief, my current position is postdoctoral fellow at Université Paris-Sud, funded by the Fondation Mathématiques Jacques Hadamard and mentored by Danielle Hilhorst.

Research interests

My mathematical self currently leans toward reaction–diffusion PDEs and mathematical models for population biology problems, including population dynamics, evolutionary dynamics, epidemiology. In particular, I am interested in propagation phenomena, that is from the mathematical point of view traveling wave solutions of parabolic PDEs and generalizations of traveling waves (pulsating fronts, transition fronts). From my very first research article, I have also inherited an interest in segregation phenomena and competitive systems of PDEs.

Secondary focuses worth mentioning are principal eigenvalues of parabolic and elliptic operators, non-local parabolic and elliptic PDEs, free boundary problems and mathematical models for social sciences.

Responsibilities

I was co-organizer of the SIMBAD seminar and lead organizer of its first meeting (May 24th, 2016, LJLL, Paris).

PhD

My PhD was entitled Propagation phenomena and reaction–diffusion systems for population dynamics in homogeneous or periodic media and supervised by Grégoire Nadin and Vincent Calvez. You can find the manuscript here.

Research articles (with arXiv links)

Preprints

with A. Lam: Invasion of an empty habitat by two competitors: spreading properties of monostable two-species competition--diffusion systems. Submitted.
Two components is too simple: an example of oscillatory Fisher--KPP system with three components. Submitted.
with V. Calvez and F. Débarre: Catch me if you can: a spatial model for a brake-driven gene drive reversal. Submitted.

Publications

with G. Nadin: Travelling waves for diffusive and strongly competitive systems: relative motility and invasion speed. European Journal of Applied Mathematics, 2015, 26(04), 521-534.
Competition in periodic media: I -- Existence of pulsating fronts. Discrete and Continuous Dynamical Systems - Series B, 2017, 22(04), 1341-1360.
Non-cooperative Fisher--KPP systems: traveling waves and long-time behavior. Nonlinearity, 2018, 31, 108-164.
Addendum to 'Non-cooperative Fisher–KPP systems: traveling waves and long-time behavior'. Nonlinearity, 2018, 32, 168-171. (This addendum contains the proof of extinction in the critical case. It is also present in my PhD manuscript and can be found on HAL, but not on arXiv as it does not accept addenda.)
with G. Nadin: Competition in periodic media: II -- Segregative limit of pulsating fronts and "Unity is not Strength"-type result. Journal of Differential Equations, 2018, 265(01), 98-156.
Non-cooperative Fisher--KPP systems: asymptotic behavior of traveling waves. Mathematical Models and Methods in Applied Sciences, 2018, 28(06), 1067-1104 .
with A. Zilio: Competition in periodic media: III -- Existence & stability of segregated periodic coexistence states. Accepted for publication in Journal of Dynamics and Differential Equations.

Research presentations

Posters

Competition in periodic media: pulsating fronts & segregation. Presented at the poster session of the Séminaires de Mathématiques Supérieures 2016 (“Honorable Mention” award) (University of Alberta) and at the poster session of the summer school PDE and Probabilities for Life Sciences 2016 (CIRM).

Slides

The slides of any talk I gave in the past are available on demand (simply email me). I am not uploading them on the web (anymore) because 1) it would consume too much disk space on the long term and 2) the n+1-th talk being most of the time an upgrade of the n-th talk, it seems pointless to provide the slides of both.

Teachings

2015–2018

During my PhD, I was tutoring (“Chargé de Mission d’Enseignement” in French) at UPMC, assigned to multivariable calculus courses (“UE 2M216” and “UE 2M256”).

Pedagogical material (in French): in order to help the students, I revised the preexisting list of exercises and added indications for the students having difficulties:

formatted list (recto-verso sheets for autonomous work);
unformatted list (printer-friendly).

Miscellaneous might-be-interesting stuff

My ORCID profile (0000-0001-8201-2053).

My Publons profile.

I have a master degree in epistemology. The science studies, in its most general sense, still interest me strongly. I am inclined to discuss with anyone and to learn more about, for instance, the sociology of mathematics (a reference (in French)) or the history of population dynamics (a reference).

I am a PhD Comics reader.

A fancier website will replace this austere page. Someday. (At least, web accessibility is not an issue here.)

During my free time, I practice and teach aikibudo (black belt 3rd dan).