Michael Frazier

Michael Frazier is a Professor of Mathematics at the University of Tennessee, Knoxville, where he has been since 2006. He previously served as the Department Head of Mathematics from 2006 to 2012 and held faculty positions at Michigan State University from 1990 to 2006. Dr. Frazier received his Ph.D. in analysis from UCLA in 1983 under John Garnett. His research focuses on harmonic analysis, wavelets, partial differential equations, and Schrödinger operators, with notable collaborations on Green’s function estimates and solvability of Schrödinger equations. He has mentored five doctoral students and currently co-advises Monty Taylor with Grozdena Todorova.

His educational background includes postdoctoral work at Washington University in St. Louis, where he pioneered wavelet techniques in function space analysis with Björn Jawerth. His research contributions span foundational work in Littlewood-Paley theory, matrix-weighted function spaces, and applications of wavelets to signal processing and differential equations.

Dr. Frazier’s publications emphasize the interplay between harmonic analysis and PDEs, with recent work addressing fractional Laplacian operators and Schrödinger equation solvability. His teaching and research materials, such as the Introduction to Wavelets Through Linear Algebra textbook, bridge advanced mathematical theory with pedagogical clarity.