Rafe Mazzeo | PIMS - Pacific Institute for the Mathematical Sciences

Professor of Mathematics, Stanford University, Director - Park City Mathematics Institute

Rafe Mazzeo received his Ph.D. in Mathematics from the Massachusetts Institute for Technology in 1986. He worked as an instructor and assistant professor at Stanford University before moving to the University of Washington. He returned to Stanford as an Associate Professor in 1992 before becoming a Full professor in 1997, where he has also served as the Department Chair. His research interests include Linear and Nonlinear PDE (Geometric microlocal analysis and geometric scattering, Hodge and index theory, spectral geometry, curvature equations, etc.).

Gauge-theoretic moduli spaces are often noncompact, and various techniques have been introduced to study their asymptotic features. Seminal work by Taubes shows that in many situations where the failure of compactness for sequences of solutions is...