I am currently in my third year of a PhD in Mathematics, under the supervision of
Dorian Le Peutrec and
Luc Hillairet
at the Institut Denis Poisson of Orléans University, in the team Analyse et Géométrie.
My topic concerns the spectral study of non self-adjoint elliptic semiclassical operators.
More specifically, my goal is to obtain
asymptotics of the smallest eigenvalues, in the low temperature regime, for elliptic semiclassical differential operators. Spectral analysis of this type of operator allows us to study
physical phenomena such as the evolution of a molecule's behavior. We particularly are trying to describe the metastable behavior of this kind of dynamics.
To study these operators, we will work on a bounded regular domain of ℝd with Neumann boundary conditions.
Feel free to contact me about anything.
