Research interests:

• • Metastability in statistical physics: exit event, Eyring-Kramers law, quasi-stationary distributions 

  • Spectral analysis, potential theory, and large deviations theory

  • Properties of processes arising from statistical physics (e.g. ergodicity and quasi-ergodicity)

  • Asymptotic analysis of singular perturbation problems

  • Mathematical analysis of neural networks

  • Narrow escape problem (a particle confined in a bounded domain with reflecting walls, except for small openings that allow escape)