Michael Hopkins

Michael Hopkins is the George Putnam Professor of Pure and Applied Mathematics at Harvard University, affiliated with the Department of Mathematics. His research interests include areas such as algebraic topology and related fields. He can be contacted via email at mjh@math.harvard.edu or through his profile page at http://people.math.harvard.edu/~mjh/. His office is located at Science Center 508, with contact details provided for telephone and fax communication.

Michael Hopkins is a mathematician at Harvard University whose research focuses on algebraic topology, stable homotopy theory, and topological quantum field theories. His work explores connections between topology, geometry, and mathematical physics, particularly through the study of modular forms, K-theory, and elliptic spectra. Hopkins has made significant contributions to understanding the structure of ring spectra, equivariant cohomology theories, and the classification of topological phases. His research often involves advanced tools from homotopy theory, such as nilpotence, Morava stabilizer groups, and twisted K-theory. His publications highlight the interplay between abstract algebraic structures and geometric constructions, advancing the understanding of complex-oriented cohomology theories and their applications.