# Graduate Bulletin

## Spring 2019

Faculty of the Mathematics Department

**Professors**

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

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

Chen, Xiuxiong ^{4} 1994, University of Pennsylvania: Differential geometry, Complex Differential Geometry.

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

Donaldson, Simon^{2,3,4,9}, 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}, *Graduate Program Director, Ph.D. *2002 Harvard University: Complex Geometry, Several Complex Variables.

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

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

Lazarsfeld, Robert ^{4,7,}, *Chairperson, *Ph.D., 1980 Brown University: Algebraic Geometry, Commutative Algebra.

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

Lyubich, Mikhail^{4,8}, *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 Mathematics Program*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.

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.

Schul, Raanan, *Associate Undergraduate Chair, *Ph.D., 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, *Associate Graduate Chair, *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.

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.

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

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

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

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

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

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

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

Sutherland, Scott^{ 6,8}, Ph.D., 1989, Boston University: Dynamical Systems, Computing.

**Assistant Professors**

Hough, Robert, Ph.D., 2012 Stanford University: Probability, Analytic Number Theory.

**Research Assistant Professor**

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

**James H. **
**Simons **
**Instructors**

Bodnár, Józef, Ph.D., 2013 Eötvös Loránd University: Algebraic Geometry, Low Dimensional Topology.

Dozier, Benjamin, Ph.D, 2018 Standford University: Translation Surfaces

Li, Yu, Ph.D., 2007 Massachusetts Institute of Technology: Game theory, economics, social and behavioral sciences

Oganesyan, Vardan, Ph.D., 2017 Lomonosov Moscow State University: Geometry and Topology

Wei, Chuanhao, Ph.D., 2018 University of Utah: Geometry, topology and classification of Higher-dimensional complex algebraic varieties

**RTG Postdoctoral Fellow**

Greer, Francois, Ph.D., 2017 Standford University: Algebraic Geometry

Kazaras, Demetre, Ph.D., 2017 University of Oregon: Differential Geometry

McMillan, Benjamin, Ph.D., 2016 University of California, Berkeley: Differential Geometry, Geometry of PDE.

Ryan, Timothy, Ph.D., 2016 University of Illinois at Chicago: Algebraic Geometry.

**National Science Foundation Postdoctoral Fellow**

Brunyate, Adrian, Ph.D., 2015 University of Georgia: Algebraic Geometry.

Zhang, Letao, Ph.D., 2014 Rice University: Algebraic 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.

Wertz, Debra, MA., 2009 Teaching Mathematics 7-12

**Institute for Mathematical Sciences**

Lyubich, Mikhail,^{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**

Dang, Nguyen-Bac, Ph.D. CMLS, 2018 Ecole Polytechnique, Palaiseau: Algebraic geometry, Dynamical systems

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

Li, Zhiqiang, Ph.D., 2015 University of California, Los Angeles: Dynamical Systems.

Modami, Babek, Ph.D., 2013 Yale University: Geometry

Mukherjee, Sabayasachi, Ph.D., 2015 Jacobs University, Bremen: Dynamical Systems, Parameter Spaces of Holomorphic Dynamical Systems.

**Visitors**

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

**Professors Emeriti**

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

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.

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