I am currently a research assistant at the CSCAMM (Center for Scientific Computation And Mathematical Modeling) in the University of Maryland (USA). I am collaborating with Eitan Tadmor as part of the FRG program.
Research interests
I am mainly interested in the mathematical modeling of biological systems and especially those which develop self-organized dynamics (see pictures).
 A school of fish |
 A flock of birds |
My research focuses on two areas.
- The derivation of macroscopic models.
Many biological systems can be described at two different levels. At a microscopic level, we simply observe the motion of many agents (bird, fish, pedestrian…). At a macroscopic level, we observe a mass of individual moving in a coherent manner. The derivation of macroscopic model aims at connecting these two descriptions. It enables to rely the collective behavior of large groups of agents to simple individual mechanisms.
- Analytics and numerical study of the macroscopic models derived.
Once we have derived a macroscopic model (PDE), we can extract new informations about the system. For example, we can look for the long time behavior of the system. In general, there is no explicit solutions to the macroscopic model. This is why a main concern is to find well-adapted schemes to solve numerical the macroscopic system.
For more details, all my publications are accessible from this page as well as my CV.
PhD thesis
I have done my PhD in Toulouse (France) at the IMT (Institut de Mathematiques de Toulouse) under the direction of Pierre Degond and Guy Theraulaz. My thesis was an interdisciplinary project between two teams: MIP (Mathematics for Industry and Physics) and CRCA (Research Center of Animal Cognition).