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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
design and analysis of algorithms numerical methods
Shpilrain, Vladimir
group theory, commutative algebra, cryptography, complexity algorithms

Combinatorics

Miasnikov, Alexei
group theory, computational group theory
Nathanson, Melvyn
number theory
O’Bryant, Kevin
combinatorics, number theory
Shneerson, Lev M.
combinatorial semigroup theory

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
Hooper, Patrick
dynamical systems, geometry, Teichmüller theory
Hu, Jun
dynamical systems, analysis
Huang, Zeno
complex analysis, Teichmuller theory, geometric analysis.
Jiang, Yunping
dynamical systems
Keen, Linda
Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems
Lakic, Nikola
complex analysis, Riemann surfaces, Teichmuller theory
Mitra, Sudeb
complex analysis, Teichmuller spaces
Saric, Dragomir
dynamics, riemann surfaces, Teichmuller theory
Velling, John
hyperbolic geometry, complex analysis
Zakeri, Saeed
dynamical systems, complex analysis

Dynamics

Baider, Alberto
analysis, dynamical systems, Hamiltonian systems
Churchill, Richard
differential Galois theory, differential algebra, Hamiltonian dynamics, dynamical systems
Handel, Michael
dynamical systems, geometric group theory, topology
Hooper, Patrick
dynamical systems, geometry, Teichmüller theory
Hu, Jun
dynamical systems, analysis
Jiang, Yunping
dynamical systems
Keen, Linda
Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems
Shub, Michael
dynamical systems, complexity theory of computations
Sullivan, Dennis
topology, geometry, dynamical systems
Szpiro, Lucien
commutative algebra, diophantine geometry, arithmetic algebraic geometry
Wolf, Christian
dynamical systems and smooth ergodic theory
Zakeri, Saeed
dynamical systems, complex analysis

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
Miasnikov, Alexei
group theory, computational group theory
Ovchinnikov, Alexey
differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory.
Shneerson, Lev M.
combinatorial semigroup theory
Shpilrain, Vladimir
group theory, commutative algebra, cryptography, complexity algorithms
Sullivan, Dennis
topology, geometry, dynamical systems

Lie Theory

Koranyi, Adam
Harmonic analysis; Lie groups; symmetric spaces; complex variables; quasi-conformal mappings in several complex variables
Rocha, Alvany
Lie theory
Sullivan, Dennis
topology, geometry, dynamical systems

Logic

Apter, Arthur
mathematical logic, set theory
Artemov, Sergei
logic, artificial intelligence, automated deduction,verification, optimal control
Fuchs, Gunter
mathematical logic, set theory, forcing large cardinals, inner model theory
Hamkins, Joel David
logic set theory
Kharlampovich, Olga
group theory, algebra, logic, algorithmic, geometric, combinatorial group theory
Kossak, Roman
mathematical logic, model theory, nonstandard models of arithmetic
Máté, Attila
logic, set theory, computer science
Miasnikov, Alexei
group theory, computational group theory
Miller, Russell
mathematical logic, computability theory
Parikh, Rohit
logic, computer science and philosophy
Rothmaler, Philipp
logic and, specifically, model theoretic algebra
Schoutens, Hans
algebraic model theory, commutative algebra,algebraic geometry

Number Theory

Chinta, Gautam
number theory, automorphic forms
Jordan, Bruce
number theory
Jorgenson, Jay
spectral geometry, analytic number theory
Kramer, Kenneth
algebraic number theory, arithmetic geometry
Moreno, Carlos
model theory,algebra,differential equations
Nathanson, Melvyn
number theory
O’Bryant, Kevin
combinatorics, number theory
O'Sullivan, Cormac
number theory, automorphic forms
Pribitkin, Vladimir
number theory and automorphic forms
Sabitova, Maria
algebraic number theory and representation 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
Sormani, Christina
Riemannian geometry, metric spaces
Velling, John
hyperbolic geometry, complex analysis

Probability

Foldes, Antonia
probability theory
Hadjiliadis, Olympia
statistical surveillance, sequence detection
Kosygina, Elena
probability, stochastic processes, partial differential equations
Marcus, Michael
probability
Rosen, Jay
probability theory
Verzani, John
probability theory

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
Sibner, Robert
analysis, geometry, gauge theory
Sormani, Christina
Riemannian geometry, metric spaces
Szabo, Zoltan I.
differential geometry
Velling, John
hyperbolic geometry, complex analysis
Wilson, Scott
geometry, topology of manifolds

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
Bendersky, Martin
algebraic topology
Champanerkar, Abhijit
topology, geometry
Handel, Michael
dynamical systems, geometric group theory, topology
Sullivan, Dennis
topology, geometry, dynamical systems
Terilla, John
algebraic topology, differential geometry, topological quantum field theory, deformation theory
Thompson, Robert
algebraic topology
Tradler, Thomas
algebraic topology, deformation theory
Wilson, Scott
geometry, topology of manifolds