Senior Faculty Research Interests

Senior Faculty Members Research Interests Graduate Student Advisees
Denis Auroux, Herchel Smith Professor of Mathematics Symplectic geometry Jaewon Chang, Clair Dai, Keeley Hoek, Honghao Jing
Laura DeMarco, Professor of Mathematics Dynamical systems, arithmetic geometry, and complex analysis Sina Saleh, Jit Wu Yap
Noam D. Elkies, Professor of Mathematics Number theory, computation, classical algebraic geometry, music
Dan Freed, Shiing-Shen Chern Professor of Mathematics, Director of the Center of Mathematical Sciences and Applications (CMSA) Geometry, topology, and interactions with theoretical physics
Joseph Harris, Higgins Professor of Mathematics Algebraic geometry Zhengkai Pan
Michael J. Hopkins, George Putnam Professor of Pure and Applied Mathematics Algebraic topology Sanath Devalapurkar, Dhilan Lahoti, Leon Liu, Isabel Longbottom, Natalie Stewart, Eunice Sukarto
Mark Kisin, Perkins Professor of Mathematics Number theory and arithmetic geometry Alexandra Hoey, Daniel Hu, Daishi Kiyohara, Alice Lin, Frank Lu, Dylan Pentland, Kush Singhal
Peter Kronheimer, William Caspar Graustein Professor of Mathematics Topology, differential and algebraic geometry, and their applications Enrico Colón, Clair Dai, Alex Epelde, Jiakai Li, Ollie Thakar, Runze Yu
Eric Maskin, Adams University Professor at Harvard Game theory, contract theory, social choice theory, political economy
Barry Mazur, Gerhard Gade University Professor Number theory, automorphic forms and related issues in algebraic geometry
Curtis T. McMullen, Gerhard Gade University Professor Riemann surfaces, complex dynamics, hyperbolic geometry Rafael Saavedra
Martin Nowak, Professor of Mathematics and Biology Mathematical biology, evolutionary dynamics, infectious diseases, cancer genetics, game theory, language
Mihnea Popa, Professor of Mathematics Algebraic geometry Andrew Burke, Merrick Cai, Rosie Shen, Anda Tenie, Duc Vo
Yum-Tong Siu, William Elwood Byerly Professor of Mathematics Several complex variables
Clifford Taubes, William Petschek Professor of Mathematics Nonlinear partial differential equations and applications to topology, geometry, and mathematical physics Claudia Yao
Lauren Williams, Dwight Parker Robinson Professor of Mathematics Algebraic and geometric combinatorics Grant Barkley, Amanda Burcroff, Johnny Gao, Yuhan Jiang, Alan Yan
Melanie Matchett Wood, William Caspar Graustein Professor of Mathematics Number Theory and Arithmetic Geometry Elia Gorokhovsky, Matt King, Michael Kural, August Liu
Hugh Woodin, Professor of Philosophy and of Mathematics Set theory, determinacy, and strong axioms of infinity
Horng-Tzer Yau, Merton Professor of Mathematics Probability theory, quantum dynamics, differential equations, and nonequilibrium physics Sofiia Dubova

Junior and visiting faculty areas of interest provide an additional resource for graduate students. In addition, the department hosts a number of weekly seminars, and students have access to resources and seminars at the Harvard University Center of Mathematical Sciences and Applications (CMSA).