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).