My current research is axed on descriptions and analysis of neural networks from the point of view of dynamical systems. My goal is to develop numerical / theoretical tools that allow an efficient study of these systems in order to draw predictions to be tested in experiments.

More specifically, I am interested in the following fields (not in a particular order):

Applications in theoretical neurosciences

- Neural plasticity (synaptic...)
- Spiking neural networks
- Dendritic spikes
- Signal integration in dendritic spines / synapses
- Modelling of visual cortical areas and neural illusions

Dynamical Systems / Probability Theory

- Hyperbolic PDEs
- Nonlocal transport equations
- Pattern formation
- Jump processes / Point processes, stochastic dynamics
- Harris recurrence
- Delayed systems

`Events and Committees`

- I organized the second ICMNS conference on mathematical neurosciences in June 2016. I am in the advisory board of the next editions.
- I am in the Editorial Board of the journal Mathematical Neurosciences and Applications
- I am in the Scientific committee of wavecomplexity
- I am responsible for projects of the (Human Brain Project) HBP SGA3 program

"There never have been and never will be any 'applied sciences', there are only

applications of sciences" -- (Pasteur)"I have never heard of such a mathematician, he is actually a physicist" -- (Landau on Poincaré)