Arnaud Debussche

Arnaud Debussche is a University Professor in the Department of Mathematics at ENS Rennes (École Normale Supérieure de Rennes), where he has been faculty since 2000. He is a member of IRMAR (Institut de Recherche Mathématique de Rennes), specifically affiliated with the Numerical Analysis and Stochastic Processes research teams.

Professor Debussche's research focuses on Stochastic Partial Differential Equations (SPDEs), with expertise in existence and uniqueness theorems, ergodicity, Kolmogorov and Hamilton-Jacobi equations in infinite dimensions, and stochastic control. He also investigates random perturbations and propagation of dispersive nonlinear waves, as well as deterministic and stochastic numerical analysis.

He holds significant administrative roles including Vice-President for Research at ENS Rennes since 2015, and previously served as Deputy Director of the Henri Lebesgue Centre (2012-2019) and of the Lebesgue Agency for Mathematics for Innovation (2018-2019).

Professor Debussche has received prestigious recognition through his membership in the Institut Universitaire de France:

• Senior Member (2018-present)
• Junior Member (2006-2011)

He serves as Editor-in-chief of the journal Stochastic Partial Differential Equations: analysis and computations and has held editorial positions with numerous leading mathematics journals including SIAM Journal on Numerical Analysis, Potential Analysis, and Journal of Evolution Equation.

Professor Debussche teaches courses in analysis, numerical analysis, and probability at both undergraduate and graduate levels at ENS Rennes. His academic career includes previous positions as a CNRS research fellow at the University of Paris Sud (1992-2000) and as a Visiting Research Associate at Indiana University (1990-1992).