# Senior Faculty Research Interests

Denis Auroux | Professor of Mathematics | Symplectic geometry |

Laura DeMarco | Professor of Mathematics | Dynamical systems, arithmetic geometry, and complex analysis |

Noam D. Elkies | Professor of Mathematics | Number theory, computation, classical algebraic geometry, music |

Dennis Gaitsgory | Herchel Smith Professor of Mathematics | Geometric aspects of representation theory |

Robin Gottlieb | Professor in the Teaching of Mathematics | |

Joseph Harris | Higgins Professor of Mathematics | Algebraic geometry |

Michael J. Hopkins | George Putnam Professor of Pure and Applied Mathematics | Algebraic topology |

Mark Kisin | Perkins Professor of Mathematics | Number theory and arithmetic geometry |

Peter Kronheimer | William Caspar Graustein Professor of Mathematics | Topology, differential and algebraic geometry, and their applications |

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 | Maria Moors Cabot Professor of the Natural Sciences | Riemann surfaces, complex dynamics, hyperbolic geometry |

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 |

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 |

Lauren Williams | Dwight Parker Robinson Professor of Mathematics | Algebraic and geometric combinatorics |

Hugh Woodin | Professor of Philosophy and of Mathematics | Set theory, determinacy, and strong axioms of infinity |

Melanie Matchett Wood | Professor of Mathematics | Number Theory and Arithmetic Geometry |

Horng-Tzer Yau | Merton Professor of Mathematics | Probability theory, quantum dynamics, differential equations, and nonequilibrium physics |

Shing-Tung Yau | William Caspar Graustein Professor of Mathematics | Differential geometry, partial differential equations, topology, and mathematical physics |

Junior and visiting faculty areas of interest provide an additional resources 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).