Regular biography
Joaquim Serra is a Professor in the Department of Mathematics at ETH Zurich. His research interests are not explicitly detailed in the provided information. Prof. Serra's profile page can be accessed through the ETH Zurich Mathematics Department website, where additional details about his work and contact information may be found.
Scholar-generated biography
Joaquim Serra is a researcher at ETH Zurich specializing in Partial Differential Equations. His work focuses on the analysis of fractional Laplacian and integro-differential equations, with an emphasis on regularity theory, boundary behavior, and free boundary problems. He has contributed significantly to understanding the regularity of solutions for nonlocal operators, including stable operators and fully nonlinear equations. His research also explores Pohozaev identities, isoperimetric inequalities, and nonexistence results for nonlocal equations. Serra's publications often address the fine structure of free boundaries and the behavior of solutions in domains with rough kernels.