Rafe Mazzeo

Rafe Mazzeo is a Professor in the Department of Mathematics at Stanford University. He holds the title of Cassius Lamb Kirk Professor of Natural Sciences. His research interests include Analysis & PDE Geometry, Differential Geometry, Microlocal Analysis, and PDE. Mazzeo's office is located in Building 380, 383-R. He can be contacted via email at mazzeo@math.stanford.edu or by telephone at (650) 723-1894. His profile page provides additional information about his research and advisees.

Rafe Mazzeo is a mathematician specializing in Geometric Analysis and Partial Differential Equations. His research focuses on the interplay between geometry and analysis, particularly in the context of manifolds with singularities and boundary value problems. He has contributed significantly to the study of elliptic operators, resolvent extensions, and Hodge cohomology on conformally compact metrics. His work includes the analysis of Kähler-Einstein metrics, singular Yamabe metrics, and constant scalar curvature metrics with isolated singularities. Mazzeo's research also explores the moduli spaces of singular metrics and the behavior of pseudodifferential operators on manifolds with fibred boundaries. His studies often involve asymptotic analysis and the application of spectral theory to geometric problems.