Faculty Research

Department of Mathematics has 59 registered members

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Contact Information
Research Interests
Robert Michael Beals
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Harmonic Analysis, Fourier Integral Operators, Partial Differential Equations
Lev Borisov
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algebraic geometry
Haim Brezis
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Nonlinear analysis; PDE
Anders Buch
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algebraic geometry, Schubert calculus, combinatorics
Fioralba Cakoni
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Inverse Problems, PDEs, Integral Equations, Inverse Scattering Theory
Lisa Carbone
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geometric group theory, Kac-Moody groups, applications to high-energy physics
Eric Carlen
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Functional analysis, probability, mathematical physics
Sagun Chanillo
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Classical analysis, PDE
Paul Feehan
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Nonlinear elliptic and parabolic PDE, geometric analysis, mathematical physics, probability theory
Sheldon Goldstein
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statistical mechanics, probability theory, foundations of quantum mechanics
Zheng-Chao Han
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Nonlinear analysis, PDE
Kristen Hendricks
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Low-dimensional topology, symplectic topology, knot theory
Xiaojun Huang
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Complex Geometry, several complex variables
Yi-Zhi Huang
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representation theory of vertex operator algebras, conformal field theory and connections with geometry and topology
Henryk Iwaniec
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Analytic Number Theory
Ian Jauslin
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Jeffry Kahn
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discrete mathematics and related areas
Daniel Ketover
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Michael Kiessling
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mathematical physics, statistical mechanics, nonlinear partial differential equations), statistical mechanics, nonlinear PDE
Janos Komlos
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discrete mathematics, probability
Alex Kontorovich
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Automorphic Forms and Representations, Homogeneous Dynamics, Harmonic Analysis and Spectral Theory
Denis Kriventsov
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elliptic and parabolic PDE, free boundary problems, calculus of variations, shape optimization
Kasper Larsen
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Mathematical finance
Joel Lebowitz
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statistical mechanics, material science, dynamical systems
James Lepowsky
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vertex operator algebra theory and conformal field theory, connections with other branches of mathematics
Chi Li
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Complex geometry
Yanyan Li
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Nonlinear analysis, PDE
Liping Liu
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Mechanics and Mathematics of Materials
Feng Luo
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Geometry and topology
Konstantin Matveev
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Asymptotic Representation Theory, Algebraic Combinatorics, Probability Theory
Juan Pablo Mejia-Ramos
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Mathematics education
Stephen Miller
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Automorphic Forms
Mariusz Mirek
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Fourier analysis and ergodic theory
Konstantin Mischaikow
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Dynamical systems, mathematical biology, computational topology
Bhargav Narayanan
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Combinatorics, probability theory and related areas in statistical physics and theoretical computer science.
Vladimir Retakh
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noncommutative algebra, algebraic aspects of analysis, noncommutative Lie theory
Fred Roberts
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applications of discrete mathematics, graph theory, decision making, measurement theory
Xiaochun Rong
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Riemannian geometry
Siddhartha Sahi
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representation theory, harmonic analysis, algebraic combinatorics
Michael Saks
theory of computation, discrete algorithms
Vladimir Scheffer
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fluid dynamics, Navier-Stokes equation
Natasa Sesum
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Geometric flows; PDE
Vladimir Shtelen
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symmetry analysis, nonlinear mathematical physics
Sara Soffer
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discrete mathematics, graph theory, real networks
Avraham Soffer
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partial differential equations, scattering theory, PDE
Jian Song
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geometric analysis
Hongbin Sun
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low dimensional topology, hyperbolic geometry
Hector Sussmann
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Control theory, mathematical biology
Shadi Tahvildar-Zadeh
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Hyperbolic PDEs, General Relativity, Quantum Mechanics
Simon Thomas
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Set Theory, Model Theory and Infinite Group Theory
Pham Huu Tiep
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Group Theory, Representation Theory
Li-Cheng Tsai
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Probability: interacting particle systems and stochastic PDEs
Jerrold Tunnell
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Number theory; automorphic forms
Michael Vogelius
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Numerical Analysis, partial differential equations
Charles Weibel
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algebraic topology, K-theory, algebraic K-theory, algebraic geometry and homological algebra
Kimberly Weston
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stochastic analysis and mathematical finance
Christopher Woodward
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symplectic and algebraic geometry, moduli spaces, Lie groups
Doron Zeilberger
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algebraic and enumerative combinatorics, experimental mathematics
Wujun Zhang
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Numerical Analysis, computational mathematics