Graduate Faculty and Their Research

Below you will find a description of research interests of our ladder faculty, the list of their recognitions, as well as the list of their current students.

Faculty Member Information
Jeffrey Brock

Education
Ph.D., U.C. Berkeley 1997

Positions
William S. Massey Professor of Mathematics, Professor of Statistics & Data Science; Dean, School of Engineering & Applied Science

Awards and Recognitions
Guggenheim Fellow, AMS Fellow

Areas of Interest
Hyperbolic geometry, low dimensional topology, and applications

Andrew Casson

Education
Cambridge University, 1969

Positions
Professor Emeritus

Awards and Recognitions
Royal Society Fellow

Areas of Interest
Low-dimensional topology, four manifold theory, algebraic topology, hyperbolic geometry.

Ronald Coifman

Education
Ph.D., Geneva, 1965

Positions
Sterling Professor of Mathematics; Professor of Computer Science

Memberships
National Academy of Sciences, American Academy of Arts and Sciences

Awards and Recognitions
National Medal of Science, Rolf Schock prize 

Areas of Interest
Nonlinear analysis, Scattering theory, Real and complex analysis, Singular integrals, Numerical analysis, Harmonic analysis and Geometry in high dimension Data Analysis

Igor Frenkel

Education
Ph.D., Yale, 1980

Positions
Sol Goldman Family Professor of Mathematics

Awards and Recognitions
American Academy of Arts and Sciences and National Academy of Sciences

Areas of Interest
Infinite-dimensional algebras, representation theory, applications of Lie theory, mathematical physics

Students
Vladyslav Zveryk - Visit their website

Alexander Goncharov

Education
Ph.D., (USSR) 1987

Positions
Philip Schuyler Beebe Professor of Mathematics

Awards and Recognitions
European Mathematical Society Prize

Areas of Interest
Arithmetic Algebraic Geometry: polylogarithms, zeta-functions, periods, Hodge theory, motives, motivic Galois groups, Quantum geometry of moduli spaces, Representation Theory and Mathematical Physics

Sebastian Hurtado-Salazar

Education
Ph.D., University of California Berkeley, 2014

Positions
Professor of Mathematics

Awards and recognitions 
New Horizons Prize in Mathematics (2022).

Areas of Interest
Dynamical systems and its applications to geometry and topology. Groups actions on manifolds. Discrete subgroups of Lie groups

Students
Ethan Cohen
Gal Yehuda - Visit their website

Peter Jones

Education
Ph.D., UCLA, 1978

Awards and Recognitions
Salem Prize, (Emeritus), American Academy of Arts and Sciences, National Academy of Sciences

Areas of Interest
Real, complex, and Fourier analysis, singular integrals, potential theory, dynamical systems.

Richard Kenyon

Education
Ph.D., Princeton, 1990

Positions
Erastus L. DeForest Professor of Mathematics

Awards and Recognitions
Loeve Prize, Rollo Davidson Prize, American Academy of Arts and Sciences

Areas of Interest
Combinatorics, Discrete Geometry, Probability, Statistical Mechanics

Students
David Kogan
Christina Meng
Srivasta (Sri) Tata

Ivan Loseu

Education
Ph.D., Moscow State University, 2007

Positions
Professor of Mathematics

Areas of Interest
Representation theory and its connections to Algebraic geometry, Geometric representation theory

Students
Zachary Carlini
Mengwei Hu - Visit their website
Trung Vu

Gregory Margulis

Education
Ph.D., Moscow, 1970

Memberships
American Academy of Arts and Sciences, National Academy of Sciences

Awards
Fields Medal, Abel Prize (Emeritus) 

Areas of Interest
Lie group theory, ergodic theory, number theory, network theory, and dynamics.

Yair Minsky

Education
Ph.D., Princeton University, 1989

Positions
Einar Hille Professor of Mathematics

Areas of Interest
Kleinian groups, Teichmuller theory, geometric group theory, holomorphic dynamics, differential geometry

Students
Sung Jin Park
Anna Antal - Visit their website
Junzhi Huang - Visit their website
Youheng Yao - Visit their website
Hakob Chakhoyan

Pedro Suarez

Vincent Moncrief

Education
Ph.D., Maryland, 1972

Positions
Professor of Physics and of Mathematics

Areas of Interest
Relativity, mathematical physics

Andrew Neitzke

Education
Ph.D., Harvard, 2005

Positions
Professor of Mathematics

Areas of Interest
Supersymmetric quantum field theory, string theory, enumerative geometry, hyperkahler geometry

Students
Jack Hale

Sam Panitch - Visit their website

Hee Oh

Education
Ph.D., Yale, 1997

Positions
Abraham Robinson Professor of Mathematics

Awards and Recognitions
Satter Prize

Areas of Interest
Homogeneous dynamics, discrete subgroups of Lie groups, Kleinian groups, hyperbolic geometry, and the resulting applications of number theory

Students
Dongryul Kim - Visit their website

Sam Raskin

Education
Ph.D., Harvard, 2014

Positions
James E. English Professor of Mathematics

Awards and Recognitions 
New Horizons Prize in Mathematics (2025)

Areas of Interest
Algebra, Langlands duality, geometric representation theory, algebraic geometry, and homotopy theory

Students
Joakim Faergeman - Visit their website
Misha Goltsblat
Max Steinberg - Visit their website
Minghan Sun - Visit their website

Vladimir Rokhlin

Education
Ph.D., Rice, 1983

Positions
Arthur K. Watson Professor of Computer Science and Professor of Mathematics

Awards and Recognitions
National Academy of Sciences

Areas of Interest
Numerical scattering theory, elliptic partial differential equations, numerical solution of integral equations

Wilhelm Schlag

Education
Ph.D., Caltech 1996

Positions
Phillips Professor of Mathematics; Department Chair

Areas of Interest
Spectral Theory, Partial differential evolution equations, harmonic analysis

Students
Yutong Wu - Visit their website
Mengyi Xie

John Schotland

Education
M.D., Ph.D., University of Pennsylvania, 1996 

Positions
Zhao and Ji Professor of Mathematics

Areas of Interest
Inverse problems, scattering theory, waves in random media, quantum optics

Junliang Shen

Education
Ph.D., ETH Zurich 2018

Positions
Associate Professor of Mathematics.

Areas of Interest
Algebraic geometry and its connections to topology, enumerative geometry, and mathematical physics

Students
David Bai - Visit their website
David Fang - Visit their website
Soumik Ghosh

Charles Smart

Education
Ph.D., UC Berkeley 2010. Analysis, Mathematical Physics, and Probability

Positions
Professor of Mathematics

Students
Reuben Drogin
Ari Lerman
Nhung Pham

Van Vu

Education
Ph.D., Yale, 1998

Positions
Percey F. Smith Professor of Mathematics; Professor of Statistics & Data Science

Awards and Recognitions
Polya Prize. Fulkerson Prize

Areas of Interest
Combinatorics, probability, additive number theory, data science

Students
Phuc Tran

Lu Wang

Education
Ph.D., MIT, 2011

Positions
Professor of Mathematics

Areas of Interest
Geometric analysis

Gregg Zuckerman

Education
Ph.D., Princeton, 1975, (Emeritus) 

Areas of Interest
Representation theory, applications of Lie theory, mathematical physics