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# Listed by Research

Research groups at the CUNY Graduate Center can roughly be described by the following fields:

## Algebraic Geometry

Richard Churchill |

differential Galois theory, differential algebra, Hamiltonian dynamics, dynamical systems |

Alexey Ovchinnikov |

differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |

Hans Schoutens |

algebraic model theory, commutative algebra,algebraic geometry |

Lucien Szpiro |

commutative algebra, diophantine geometry, arithmetic algebraic geometry |

## Algorithms

Olga Kharlampovich |

group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |

Alexey Ovchinnikov |

differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |

Victor Pan |

symbolic and numerical computations, design and analysis of algorithms, linear and multilinear algebra, data sparse matrices, polynomial root-finding |

Vladimir Shpilrain |

group theory, commutative algebra, cryptography, complexity algorithms |

## Combinatorics

Alexei Miasnikov |

group theory, computational group theory |

Melvyn Nathanson |

number theory |

Kevin O’Bryant |

combinatorics, number theory |

Lev M. Shneerson |

combinatorial semigroup theory |

## Complex Analysis, Riemann Surfaces and Teichmuller Theory

Ara Basmajian |

hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |

Jason Behrstock |

topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |

Patrick Hooper |

dynamical systems, geometry, Teichmüller theory |

Jun Hu |

dynamical systems, analysis |

Zheng Huang |

complex analysis, Teichmuller theory, geometric analysis. |

Yunping Jiang |

dynamical systems |

Linda Keen |

Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems |

Nikola Lakic |

complex analysis, Riemann surfaces, Teichmuller theory |

Sudeb Mitra |

complex analysis, Teichmuller spaces |

Dragomir Saric |

dynamics, riemann surfaces, Teichmuller theory |

John Velling |

hyperbolic geometry, complex analysis |

Saeed Zakeri |

dynamical systems, complex analysis |

## Dynamics

Alberto Baider |

analysis, dynamical systems, Hamiltonian systems |

Richard Churchill |

differential Galois theory, differential algebra, Hamiltonian dynamics, dynamical systems |

Michael Handel |

dynamical systems, geometric group theory, topology |

Patrick Hooper |

dynamical systems, geometry, Teichmüller theory |

Jun Hu |

dynamical systems, analysis |

Yunping Jiang |

dynamical systems |

Linda Keen |

Teichmuller Theory, Hyperbolic geometry of three manifolds and Complex Dynamical Systems |

Michael Shub |

dynamical systems, complexity theory of computations |

Dennis Sullivan |

topology, geometry, dynamical systems |

Lucien Szpiro |

commutative algebra, diophantine geometry, arithmetic algebraic geometry |

Christian Wolf |

dynamical systems and smooth ergodic theory |

Saeed Zakeri |

dynamical systems, complex analysis |

## Group Theory

Jason Behrstock |

topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |

Sean Cleary |

geometric group theory, combinatorial group theory, computational group theory |

Olga Kharlampovich |

group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |

Alexei Miasnikov |

group theory, computational group theory |

Alexey Ovchinnikov |

differential and difference algebra, differential algebraic groups,differential and difference Galois theory,symbolic computation, representation theory. |

Lev M. Shneerson |

combinatorial semigroup theory |

Vladimir Shpilrain |

group theory, commutative algebra, cryptography, complexity algorithms |

Dennis Sullivan |

topology, geometry, dynamical systems |

## Lie Theory

Adam Koranyi |

Harmonic analysis; Lie groups; symmetric spaces; complex variables; quasi-conformal mappings in several complex variables |

Alvany Rocha |

Lie theory |

Dennis Sullivan |

topology, geometry, dynamical systems |

## Logic

Arthur Apter |

mathematical logic, set theory |

Sergei Artemov |

logic, artificial intelligence, automated deduction,verification, optimal control |

Gunter Fuchs |

mathematical logic, set theory, forcing large cardinals, inner model theory |

Joel David Hamkins |

logic set theory |

Olga Kharlampovich |

group theory, algebra, logic, algorithmic, geometric, combinatorial group theory |

Roman Kossak |

mathematical logic, model theory, nonstandard models of arithmetic |

Attila Máté |

logic, set theory, computer science |

Alexei Miasnikov |

group theory, computational group theory |

Russell Miller |

mathematical logic, computability theory |

Rohit Parikh |

logic, computer science and philosophy |

Philipp Rothmaler |

logic and, specifically, model theoretic algebra |

Hans Schoutens |

algebraic model theory, commutative algebra,algebraic geometry |

## Number Theory

Gautam Chinta |

number theory, automorphic forms |

Bruce Jordan |

number theory |

Jay Jorgenson |

spectral geometry, analytic number theory |

Kenneth Kramer |

algebraic number theory, arithmetic geometry |

Carlos Moreno |

model theory,algebra,differential equations |

Melvyn Nathanson |

number theory |

Kevin O’Bryant |

combinatorics, number theory |

Cormac O'Sullivan |

number theory, automorphic forms |

Wladimir Pribitkin |

number theory and automorphic forms |

Maria Sabitova |

algebraic number theory and representation theory |

Lucien Szpiro |

commutative algebra, diophantine geometry, arithmetic algebraic geometry |

## Partial Differential Equations and Geometric Analysis

Józef Dodziuk |

analysis, topology, and geometry for manifolds, cell complexes and graphs |

Zheng Huang |

complex analysis, Teichmuller theory, geometric analysis. |

Leon Karp |

differential geometry, partial differential equations |

Dan Lee |

geometric analysis, general relativity |

Marcello Lucia |

partial differential equations, calculus of variations, nonlinear analysis, geometric inequalities |

Bianca Santoro |

complex geometry, geometric differential equations, Monge-Ampere Partial differential equations |

Christina Sormani |

Riemannian geometry, metric spaces |

John Velling |

hyperbolic geometry, complex analysis |

## Probability

Antonia Foldes |

probability theory |

Olympia Hadjiliadis |

statistical surveillance, sequence detection |

Elena Kosygina |

probability, stochastic processes, partial differential equations |

Michael Marcus |

probability |

Jay Rosen |

probability theory |

John Verzani |

probability theory |

## Riemannian Geometry and Analysis

Ara Basmajian |

hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |

Jason Behrstock |

topology, geometry, group theory, especially geometric group theory low dimensional topology, complex analysis, Riemann surfaces,Teichmueller theory |

Józef Dodziuk |

analysis, topology, and geometry for manifolds, cell complexes and graphs |

Leon Karp |

differential geometry, partial differential equations |

Adam Koranyi |

Harmonic analysis; Lie groups; symmetric spaces; complex variables; quasi-conformal mappings in several complex variables |

Robert Sibner |

analysis, geometry, gauge theory |

Christina Sormani |

Riemannian geometry, metric spaces |

Zoltan I. Szabo |

differential geometry |

John Velling |

hyperbolic geometry, complex analysis |

Scott Wilson |

geometry, topology of manifolds |

## Topology

Ara Basmajian |

hyperbolic geometry, Riemann surfaces, geometric structures on manifolds |

Jason Behrstock |

Martin Bendersky |

algebraic topology |

Abhijit Champanerkar |

topology, geometry |

Michael Handel |

dynamical systems, geometric group theory, topology |

Dennis Sullivan |

topology, geometry, dynamical systems |

John Terilla |

algebraic topology, differential geometry, topological quantum field theory, deformation theory |

Robert Thompson |

algebraic topology |

Thomas Tradler |

algebraic topology, deformation theory |

Scott Wilson |

geometry, topology of manifolds |