Graduate School Bulletin

Spring 2023

Faculty of the Mathematics Department

Professors

Bishop, Christopher 4,7, Ph.D., 1987, University of Chicago: Geometric Function Theory, Complex Analysis, Applied Math, Riemann Surfaces, Dynamical Systems, Geometric Analysis.

Chas, Moira, Ph.D., 1998, Universidad Autónoma de Barcelona: Geometric Topology, Dynamical Systems.

Chen, Xiuxiong 4,71994, University of Pennsylvania: Differential geometry, Complex Differential Geometry.

De Cataldo, Mark, Ph.D., 1995, University of Notre Dame: High-Dimensional Algebraic Geometry.

Donaldson, Simon2,3,4,9, Ph.D., 1983 Oxford University: Differential Geometry, Gauge Theory, topology of Smooth Manifolds, Symplectic Geometry.

Ebin, David 4, Ph.D., 1967, Massachusetts Institute of Technology: Global analysis, Continuum Mechanics, Partial Differential Equations.

Fukaya, Kenji 4,9, Ph.D, 1986 University of Tokyo: Symplectic Geometry, Riemannian Geometry.

Grushevsky, Samuel 7,9, , Ph.D. 2002 Harvard University: Complex Geometry, Several Complex Variables.

Jones, Lowell 4, Ph.D., 1970, Yale University: Topology of Manifolds, Differential Geometry.

Kirillov Jr., Alexander, Undergraduate Program Director, Ph.D., 1995, Yale University: Representation Theory, Low Dimensional Topology, Mathematical Physics.

Khuri, Marcus, Ph.D., 2003, University of Pennsylvania: Differential Geometry, Partial Differential Equations, General Relativity.

Lawson, H. Blaine, Jr.3,4,7, Ph.D., 1968, Stanford University: Differential Geometry, Topology, Algebraic Geometry.

Laza, Radu, Ph.D., 2006, Columbia University: Algebraic geometry, Several Complex Variables.

Lazarsfeld, Robert 4,7,, Ph.D., 1980 Brown University: Algebraic Geometry, Commutative Algebra.

LeBrun, Claude 4,7 Ph.D., 1980, University of Oxford, England: Differential Geometry, Complex Analysis, Mathematical Physics, Algebraic Geometry.

Lyubich, Mikhail4,7,8, Director of Institute for Mathematical Sciences, Ph.D., 1983, Tashkent State University, Russia: Dynamical Systems, Kleinian Groups and their Deformation Spaces.

Martens, Marco, MA Masters Professional Option Program Director Ph.D., 1990, Delft University, The Netherlands: Dynamical Systems.

Michelsohn, Marie- Louise, Ph.D., 1974, University of Chicago: Differential Geometry.

Milnor, John W.1,2,3,4,7,8, Co-Director of Institute for Mathematical Sciences, Ph.D., 1954, Princeton University: Dynamical Systems Topology, Geometry.

Schnell, Christian, Ph.D., 2008 Ohio State University: Algebraic Geometry.

Plamenevskaya, Olga, Undergraduate Program Associate Director, Ph.D., 2004, Harvard University: Contact and Symplectic Geometry, Low- Dimensional Topology.

Schul, Raanan Ph.D., Associate Graduate Program Director 2004 Harvard University: Real Analysis, Geometric Measure Theory.

Simons, James H.3,4, Ph.D., 1962, University of California, Berkeley: Differential Geometry, Functionals of Riemannian Metrics and Connections.

Starr, Jason Ph.D., 2000 Harvard University: Algebraic Geometry.

Sullivan, Dennis 3,4,7,8, Ph.D., 1965, Princeton University: Dynamical Systems, Topology, Geometry, Partial Differential Equations, Quantum Topology.

Sutherland, Scott 6,8, Undergraduate Program Director Ph.D., 1989, Boston University: Dynamical Systems, Computing.

Takhtajan, Leon, 4, Ph.D., 1975, Leningrad Branch of the Steklov Mathematical Institute, Russia: Mathematical Physics and Applications to Complex and Algebraic Analysis.

Varolin, Dror, Associate Chair, Ph.D., 1997, University of Wisconsin-Madison: Complex Analysis and Geometry.

Viro, Oleg 4, Ph.D., 1974, Leningrad University: Geometry and Topology.

Zinger, Aleksey, Ph.D., 2002, Massachusetts Institute of Technology: Symplectic Topology, Enumerative Algebraic Geometry.

Associate Professors

Berger, Lisa, Mathematics Education Program Director, Ph.D., 2007, University of Arizona: Number Theory, Mathematics Education of Teachers.

McLean, Mark, Graduate Director, Ph.D., 2008 Cambridge University: Algebraic Geometry; Differential Geometry, Symplectic Topology.                  

Movshev, Michael, Ph.D., 1997, University of Pennsylvania: Algebra

Nestoridi, Evita, Ph.D., 2016 Stanford University: Analysis; Probability

Assistant Professors

Chen, Jingrui, Ph.D., 2018 University of Wisconsin Madison: Non- linear partial differential equations.

Drivas, Theodore, Ph.D., 2017 The John Hopkins University: Analysis and partial differential equations arising in fluid dynamics.

Dudko, Dzmitry, Ph.D. 2012 Jacobs University: Dynamical Systems

Ntalampekos, Dimitrios, Ph.D., 2018 University of California Los Angeles: Analysis on metric spaces, Quasiconformal mappings Complex Analysis, Metric geometry.

Research Assistant Professors

Kamenova, Ljudmila, Ph.D., 2006: Massachusetts Institute of Technology: Complex Geometry.

James H. Simons Instructors

Lee, Eun Hye, Ph.D., 2019 University of Chicago: Number Theory, Automorphic forms and representations

Kotelskiy, Artem, Ph.D., 2018 Princeton University: Low-dimensional topology and symplectic geometry

Martin, Olivier, Ph.D.,2020 University of Chicago: Algebraic Geometry.

Wang, Jian, Ph.D., 2019 Universite Grenoble Aples: Differential Geometry

Gromoll Instructor

Lin, Peter, Ph.D., 2019 University of Washington: Complex Analysis and Probablility

Ronald Douglas Instructor

Romney, Matthew, Ph.D., 2017 University of Illinois at Urbana Champaign: Geometric function theory and analysis on metric spaces.

RTG Postdoctoral Fellow

Erchenko, Alena, Ph.D., 2018 The Pennsylvania State University: Dynamical systems and ergodic theory

Hanlon, Andrew, Ph.D., 2019 University of California, Berkeley: Symplectic topology and homological mirror symmetry

Sackel, Kevin, Ph.D., 2019 MIT: Symplectic and contact topology and geometry

Lecturers

Abd-el-hafez, Alaa, Ed.D., 2015 LIU Brookville, NY: Interdisciplinary Educational Studies, Director of Field Experience and Clinical Practice

Chen, Holly, M.S., 1996 SUNY Buffalo: Mathematics and Computation.

Chrstiane Stidham, Ph.D., 1999 University of California: Tectonic and Structural modeling and simulations of earthquake wave propagation.

Viro, Julia, Ph.D., 1991 Leningrad University: Low-Dimensional Topology.

Institute for Mathematical Sciences

Lyubich, Mikhail,3,4,8 Director, Ph.D., 1983, Tashkent State University, Russia: Dynamical Systems.

Milnor, John W.1,2,3,4,7, Co-Director, Ph.D., 1954, Princeton University: Dynamical Systems; Topology, Geometry.

Institute for Mathematical Sciences, Lecturers

Karafyllia, Christina, Ph.D., 2020 University of Thessaloniki, Greece: Conformal invariants and the Hardy number of conformal maps.

Luo, Yusheng, Ph.D., 2019 Harvard University: Trees, Berkovich spaces and the barycentric extension in complex dynamics.

Nie, Hongming, PhD., 2018 Indiana University: Dynamical systems and ergodic theory

Waterman, James, PhD., 2020 The Open University: Dynamical systems and ergodic theory

Zhao, ShengYuan, Ph.D., 2020, Université de Rennes I, Campus De Beaulieu, France: complex algebraic geometry and holomorphic dynamical systems.

Zhang, Yongquan Ph.D., 2021 Harvard University: hyperbolic 3-manifolds and Kleinian groups, hyperbolic surfaces, homogeneous dynamics and complex dynamics.

Visitors

Bedford, Eric Ph.D., 1974 University of Michigan: Several Complex Variables, Dynamical Systems, Geometric Function Theory, Geometric Analysis.

Professors Emeriti

Anderson, Michael 4, Ph.D., 1981, University of California, Berkeley: Differential Geometry, Geometric Analysis, Mathematical Physics.

Barcus, William Ph.D., 1955 University of Oxford, England: Algebraic Topology.

Hill, C. Denson, Ph.D., 1966, New York University: Partial Differential Equations, Several Complex Variables.

Knapp, Anthony 4, Ph.D., 165 Princeton University: Lie Groups, Representation Theory.

Kra, Irwin Ph.D., 1966 Columbia University: Complex Analysis, Kleinian Groups.

Maskit, Bernard Ph.D., 1964 New York University: Complex analysis, Riemann surfaces, Kleinian Groups and Deformation spaces, Computational Psycholinguistics.

McDuff, Dusa 3, Ph.D., 1971 Cambridge University, England: Geometry, Symplectic Topology.

Morgan, John 3,9,Ph.D., 1969, Rice University: Topology of Manifolds, Algebraic Geometry, Three and Four Dimensional Manifolds.

Phillips, Anthony V., Ph.D., 1966, Princeton University: Differential Topology and Applications to Mathematical Physics. Pincus, Joel Ph.D., 1959 New York University: Operator Theory, Integral Equation

 

 

 

  1. Abel Prize Winner
  2. Fields Medal laureates
  3. Member of the National Academy of Science (Mathematics)
  4. Speaker of the International Congress of Mathematicians
  5. Recipient of the State University President’s and Chancellor’s Award for Excellence in Teaching, 1990
  6. Recipient of the State University President’s and Chancellor’s Award for Faculty Service, 2006
  7. Distinguished Professor
  8. Member, Institute for Mathematical Sciences
  9. Member, Simons Center for Geometry and Physics
  10. Joint appointment, Applied Mathematics and Statistics