This page is not longer being maintained. Please visit the new UMD Mathematics website at www-math.umd.edu.
DEPARTMENT OF MATHEMATICS
Math Home > Research > [ Search | Contact | Help! ]

Faculty Research Interests


Algebra and Number Theory

J. Adams Representation Theory
P. Brosnan Algebraic Geometry
W. Goldman Moduli of representations of discrete groups
A. Gholampour Gromov-Witten and Donaldson-Thomas invariants
T. Haines Automorphic Forms and Arithmetic Algebraic Geometry
J. Millson Locally symmetric spaces
N. Ramachandran Algebraic Geometry, Motives
J. M. Rosenberg K-Theory
J. A. Schafer Cohomology of Groups
H. Tamvakis Algebraic Geometry, Complex Geometry, Arakelov Theory
L. C. Washington Algebraic Number Theory and Arithmetic Algebraic Geometry

Abstract and Classical Analysis

J. Adams Representation Theory
R. Balan Applied Harmonic Analysis, Signal Processing
J. J. Benedetto Wavelet Theory and Harmonic Analysis
W. Czaja Pseudodifferential Operators, Wavelets, and Harmonic Analysis
K. Okoudjou Harmonic Analysis; Analysis on Fractals
J. M. Rosenberg C*-Algebras, Noncommutative Analysis
R. Warner Harmonic Analysis

Complex Analysis

W. Goldman Complex and Kähler Manifolds
D. H. Hamilton Quasiconformal Geometry, Complex Dynamics
M. Jakobson Complex Dynamics
S. A. Wolpert Riemann Surfaces

Mathematical Logic

D. W. Kueker Model Theory
M. C. Laskowski Model Theory, Set Theory
E. G. K. Lopez-Escobar Proof Theory

Geometry/Topology

J. M. Cohen Discretization of Classical Structures
W. Goldman Geometric Structures on Manifolds, Moduli Spaces
K. Melnick Rigidity, Lorentz and Pseudo-Riemannian Geometry
J. Millson Locally Symmetric Spaces
S. P. Novikov Topology, Geometry, Physics
J. M. Rosenberg Algebraic Topology, Geometry, Index Theory
J. A. Schafer Algebraic Topology
H. E. Winkelnkemper Geometric and Differential Topology

Ordinary Differential Equations and Dynamical Systems

S. S. Antman Bifurcation Theory, Nonlinear Boundary-Value Problems
M. Boyle Symbolic Dynamics
D. Dolgopyat Smooth Dynamics
W. Goldman Ergodic theory on moduli spaces
D. Hamilton Complex Dynamics
B. Hunt Chaotic Dynamics
V. Kaloshin Celestial mechanics, smooth dynamics
M. Jakobson Low-Dimensional and Complex Dynamics
J. A. Yorke Applied Dynamics, Numerical Methods, Smooth Dynamics

Partial Differential Equations and Nonlinear Analysis

S. S. Antman Nonlinear Analysis and Continuum Mechanics
M. Cameron Nonlinear Analysis and Continuum Mechanics
P. M. Fitzpatrick Topological Methods in Nonlinear Partial Differential Equations
M. Grillakis Nonlinear Analysis and Partial Differential Equations
P.-E. Jabin Partial Differential Equations of fluid flow, kinetic theory, and cancer growth
C. D. Levermore Partial Differential Equations
D. Levy Applied Dynamics, Numerical Analysis, Biology and Medicine
D. Margetis Applied analysis, mathematical models in materials science
M. Machedon Hyperbolic Partial Differential Equations
A. Mellet Nonlinear PDE of elliptic and parabolic type, fluid dynamics, kinetic models
D. Margetis Modeling and applied analysis; continuum and quantum physics
E. Tadmor Nonlinear time dependent Partial Differential Equations
K. Trivisa Hyperbolic Partial Differential Equations
A. Tzavaras Applied Partial Differential Equations, Mechanics
P. Wolfe Nonlinear Mechanics

Numerical Analysis

M. Cameron Computational PDE
H. Glaz Computational Fluid Dynamics
D. Levy Numerical Analysis, Applied Dynamics, Biology and Medicine.
R. Nochetto Numerical Analysis, Partial Differential Equations
T. von Petersdorff Numerical Analysis, Partial Differential Equations
E. Tadmor Numerical Analysis of high resolution and multiscale methods

Statistics and Probability

S. Cerrai Stochastic PDE
M. I. Freidlin Asymptotic Problems for Stochastic Processes and Partial Differential Equations
A. Kagan Estimation Theory Characterization Problems
B. Kedem Time Series; Space-Time Statistics
L. Koralov Homogenization, Random Perturbations of Dynamical Systems
J.-J. Ren Statistics of Censored Data
E. V. Slud Statistical Inference for Stochastic Processes, Survival Analysis
P. J. Smith Nonparametric Statistics, Categorical Data, Applications
G. L. Yang Stochastic Modelling, Asymptotics, Survival Analysis

Mathematics Education

M. Boyle Undergraduate Curriculum
H. Glaz Computational Mathematics
W. Goldman Mathematical Visualization
D. Gulick Calculus Reform, New Technology
B. Hunt Mathematical Software
J. Rosenberg Mathematical Software
S. Wolpert Calculus Reform

Last modified: Aug. 11, 2011 by jmr