My research concerns fundamental questions in control theory and inverse problems for partial differential equations. I am particularly interested in how controllability, observability, unique continuation, and identifiability are preserved, weakened, or lost under randomness, discretization, and partial observation.

A major part of my work studies the transfer of control and observability mechanisms across different mathematical settings. This includes understanding when deterministic control structures can be lifted to stochastic systems, and when continuous estimates and unique continuation properties remain valid, uniformly and quantitatively, after numerical discretization.

On the inverse-problem side, I study what can be recovered from limited or indirect observations, with emphasis on identifiability and quantitative stability for unknown sources and related structures. More broadly, I am interested in the mathematical boundary between what information a PDE system retains and what is irretrievably lost.