Welcome to Léa Dalliès' webpage !
Hello, I am currently a 2nd year PhD student under the supervision of Grégory Faye at the Institut de Mathématiques de Toulouse (UMR 5219) of the Université de Toulouse (France). The title of my thesis is : "Propagation phenomena in cellular diffusion models" and consists of studying a PDE-ODEs system which describes biological invasions restricted to an infinite two-dimensional band containing compartments.
Within the institute, I am part of the Partial Differential Equations team, but also organizer of the PhD Students Seminar.
Here is my CV (in french) and the posters that I have done for the seminar on my digital tablet (picnic 2025, autumn 2026).
Where to find me :
Institut de Mathématiques de Toulouse
office : 322 bat 1R3
How to contact me :
email : lea.dallies[at]math.univ-toulouse[dot]fr
About me & Research interests
In the future, I would like to collaborate with others scientists around biological questions for which I can bring a piece of response using mathematics. The ideal would be to advance Mathematics and locally, Biology. Regarding my thesis, I am looking at the well-posedness of the problem with the main goal to understand and quantify the spreading properties of my PDE-ODEs system.
In a few words, my research interests are :- Reaction-diffusion equation ;
- Population dynamics ;
- Propagation phenomena.
Incoming Talks
- Rencontres Bio-mathématiques de Roscoff, 9-11/09/26, Station biologique de Roscoff, Roscoff (France)
Publications
- A. Alamia, L. Dalliès, G. Faye and R. VanRullen
Wave Propagation Phenomena in Nonlinear Hierarchical Neural Networks with Predictive Coding Feedback Dynamics. (PDF)
Bull Math Biol 87, 115 (2025).
Teaching
- 2026-2027
- 2nd year INSA Toulouse - IC students (19h15) : TP Analyse numérique (Interpolation, resolution of linear systems, numerical integration,...)
- 2025-2026
- 1st year INSA Toulouse (22h30) : TD Maths 2 Analyse (Integration, Taylor developement, ODE,...)
- 2nd year INSA Toulouse - IC students (19h15) : TP Analyse numérique (Interpolation, resolution of linear systems, numerical integration,...)
- 3rd year INSA Toulouse - MIC students (11h) : - TP EDP 1 (Resolution of the Poisson and heat equations with finite difference method,...)