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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 |

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 |

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 |