Listed by Research
Research groups at the CUNY Graduate Center can roughly be described by the following fields:
Algebraic Geometry
| Churchill, Richard |
| differential Galois theory, differential algebra, Hamiltonian dynamics, dynamical systems |
| Ovchinnikov, Alexey |
| differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |
| Schoutens, Hans |
| algebraic model theory, commutative algebra,algebraic geometry |
| Szpiro, Lucien |
| commutative algebra, diophantine geometry, arithmetic algebraic geometry |
Algorithms
| Kharlampovich, Olga |
| group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |
| Ovchinnikov, Alexey |
| differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |
| Pan, Victor |
| symbolic and numerical computations, design and analysis of algorithms, linear and multilinear algebra, data sparse matrices, polynomial root-finding |
Combinatorics
Complex Analysis, Riemann Surfaces and Teichmuller Theory
| Basmajian, Ara |
| hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |
| Behrstock, Jason |
| topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |
| Hu, Jun |
| dynamical systems, analysis |
| Huang, Zeno |
| complex analysis, Teichmuller theory, geometric analysis. |
| Keen, Linda |
| Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems |
| Lakic, Nikola |
| complex analysis, Riemann surfaces, Teichmuller theory |
Dynamics
| Churchill, Richard |
| differential Galois theory, differential algebra, Hamiltonian dynamics, dynamical systems |
| Hu, Jun |
| dynamical systems, analysis |
| Keen, Linda |
| Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems |
| Shub, Michael |
| dynamical systems, complexity theory of computations |
| Szpiro, Lucien |
| commutative algebra, diophantine geometry, arithmetic algebraic geometry |
Group Theory
| Behrstock, Jason |
| topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |
| Cleary, Sean |
| geometric group theory, combinatorial group theory, computational group theory |
| Kharlampovich, Olga |
| group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |
| Ovchinnikov, Alexey |
| differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |
Lie Theory
| Koranyi, Adam |
| Harmonic analysis; Lie groups; symmetric spaces; complex variables; quasi-conformal mappings in several complex variables |
Logic
| Artemov, Sergei |
| logic, artificial intelligence, automated deduction,verification, optimal control |
| Fuchs, Gunter |
| mathematical logic, set theory, forcing large cardinals, inner model theory |
| Kharlampovich, Olga |
| group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |
| Kossak, Roman |
| mathematical logic, model theory, nonstandard models of arithmetic |
| Schoutens, Hans |
| algebraic model theory, commutative algebra,algebraic geometry |
Number Theory
| Szpiro, Lucien |
| commutative algebra, diophantine geometry, arithmetic algebraic geometry |
Partial Differential Equations and Geometric Analysis
| Dodziuk, Józef |
| analysis, topology, and geometry for manifolds, cell complexes and graphs |
| Huang, Zeno |
| complex analysis, Teichmuller theory, geometric analysis. |
| Karp, Leon |
| differential geometry, partial differential equations |
| Lee, Dan |
| geometric analysis, general relativity |
| Lucia, Marcello |
| partial differential equations, calculus of variations, nonlinear analysis, geometric inequalities |
| Santoro, Bianca |
| complex geometry, geometric differential equations, Monge-Ampere Partial differential equations |
Probability
| Kosygina, Elena |
| probability, stochastic processes, partial differential equations |
Riemannian Geometry and Analysis
| Basmajian, Ara |
| hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |
| Behrstock, Jason |
| topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |
| Dodziuk, Józef |
| analysis, topology, and geometry for manifolds, cell complexes and graphs |
| Karp, Leon |
| differential geometry, partial differential equations |
| Koranyi, Adam |
| Harmonic analysis; Lie groups; symmetric spaces; complex variables; quasi-conformal mappings in several complex variables |
Topology
| Basmajian, Ara |
| hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |
| Behrstock, Jason |
| topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |
| Terilla, John |
| algebraic topology, differential geometry, topological quantum field theory, deformation theory |