Mathematics Faculty: Research Interests

Professors

1. William K Allard, Scientific computing, particularly distributed computing; differential geometry; geometric measure theory; partial differential equations.
2. Paul S Aspinwall, String Theory
3. J. Thomas Beale, Partial Differential Equations and Fluid Mechanics
4. Hubert L. Bray, Geometric Analysis, General Relativity
5. Robert L Bryant, Nonlinear Partial Differential Equations and Differential Geometry
6. Richard M Hain, Topology of Algebraic Varieties, Hodge Theory, and Moduli of Curves
7. John Harer, Computational Topology, Computational Geometry, Computational Biology, Algorithms
8. Harold Layton, Mathematical Physiology
9. William L Pardon, Algebra and Geometry of Varieties
10. Arlie O Petters,
    Mathematical Physics - Gravitational Lensing, General Relativity, Astrophysics, Cosmology
    Mathematics - Differential Geometry, Singularity Theory, Probability Theory

    My current research deals with employing weak and strong deflection gravitational lensing to test theories of gravity, explore the geometry of spacetime around black holes, and probe the nature of dark matter on galactic scales. I utilize tools from astrophysics, cosmology, general relativity, high energy physics, and a variety of mathematical fields (e.g., differential geometry, singularity theory, and probability theory).

    A mathematical theory of gravitational lensing is presented in the following book:
    Singularity Theory and Gravitational Lensing.

11. Michael C Reed, Analysis, Applications of Mathematics to Physiology and Medicine
12. Leslie D. Saper, Locally symmetric varieties, Automorphic forms,
    L²-cohomology and intersection cohomology, Geometrical analysis of singularities
13. David G Schaeffer, Applied Mathematics, especially Partial Differential Equations
14. Chad Schoen, Algebraic Geometry
15. Mark A Stern, Geometric Analysis,string theory
16. John Trangenstein, Adaptive mesh refinement, Multigrid preconditioners
17. Stephanos Venakides, Integrable systems, Wave motion in complex media, Mathematical biology
18. Xin Zhou, Partial Differential Equations and Integrable Systems

Associate Professors

1. David Kraines, Algebraic Topology and Game Theory
2. Jonathan C. Mattingly, Applied mathematics, Probability, Ergodic Theory, Stochastic partial differential equations, Stochastic dynamical systems, Stochastic Numerical methods, Fluids
3. M. Ronen Plesser, String Theory and Quantum Field Theory
4. Thomas P Witelski, Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations

Assistant Professors

1. Mark Huber, Monte Carlo simulation and stochastic computation
2. Anita Layton, Mathematical physiology; Multiscale numerical methods; Numerical methods for global atmospheric models
3. Mauro Maggioni, Harmonic analysis, with applications to statistical analysis of high-dimensional data, machine learning, imaging.
4. Lenhard Ng, Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves

Assistant Research Professors

1. Matthias Heymann, computation of transition paths for rare events, application to biology
2. Dan A. Lee, Geometric Analysis, Geometric Topology
3. Shahed Sharif, Arithmetic geometry, number theory

Professors of the Practice of Mathematics

1. Lewis D Blake, Teaching mathematics
2. Jack Bookman, Mathematics Education
3. Clark B Bray, Algebraic Topology

Adjunct Professors

1. Andrea L Bertozzi, Nonlinear Partial Differential Equations, Applied Mathematics, Thin films, Image Processing, Swarming
2. Jonathan Hanke, Number Theory, Automorphic forms, and Quadratic forms
3. Michael Shearer, Partial Differential Equations; Granular Materials; Thin Liquid Films.
4. Jonathan Wahl, Algebraic Geometry

Professors Emeriti

1. Richard E Hodel, Set-theoretic Topology, set theory, logic
2. Joseph Kitchen, Functional Analysis
3. Lawrence C Moore, Mathematics Education and Functional Analysis

4. David A Smith, Mathematics Education

Instructors

1. Timothy Lucas, Numerical Analysis, Partial Differential Equations, Multigrid, Stochastic Differential Equations and Parallel Computing

Post Docs/Research Associates

1. Anne Catlla, Mathematical modeling in biology and pattern formation

Visiting Faculty

1. Benoit Charbonneau, Gauge theory, more specifically Nahm transforms, Yang-Mills instantons, and their dimensional reductions
2. Boumediene Hamzi, Applied Dynamical Systems, Control Theory
3. Fernando A. Schwartz, Differential Geometry