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 Biology, Algorithms
8. Harold Layton, Mathematical Physiology
9. Jian-Guo Liu, Numerical Analysis, Partial Differential Equations, Computational Fluid Dynamics
10. William L Pardon, Algebra and Geometry of Varieties
11. Arlie O Petters,
12. Michael C Reed, Analysis, Applications of Mathematics to Physiology and Medicine
13. Donald Rose, Numerical solution of nonlinear algebraic and differential equations, numerical linear algebra, and scientific computing.
14. Leslie D. Saper, Locally symmetric varieties, Automorphic forms,
    L²-cohomology and intersection cohomology, Geometrical analysis of singularities
15. David G Schaeffer, Applied Mathematics, especially Partial Differential Equations
16. Chad Schoen, Algebraic Geometry
17. Mark A Stern, Geometric Analysis,Yang-Mills theory, string theory
18. John Trangenstein, Adaptive mesh refinement, Multigrid preconditioners
19. Stephanos Venakides, Integrable systems, Wave motion in complex media, Mathematical biology
20. 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. Anita T Layton, Mathematical physiology; Multiscale numerical methods; Numerical methods for global atmospheric models
2. Mauro Maggioni, Harmonic analysis, with applications to statistical analysis of high-dimensional data, machine learning, imaging.
3. Lenhard L Ng, Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves

Assistant Research Professors

1. Elizabeth L. Bouzarth, fluid dynamics, numerical analysis, applications of mathematics to biology
2. Matthias Heymann, theory and computation of transition curves for rare events, application to biology
3. Sonja Mapes, Commutative Algebra, Combinatorics
4. 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. Michael Shearer, Partial Differential Equations; Granular Materials; Thin Liquid Films.
2. 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

Post Docs/Research Associates

1. Jing Chen, Mathematical physiology; Renal microcirculation; Computational fluid dynamics

Visiting Faculty

1. Benoit Charbonneau, Gauge theory, more specifically Nahm transforms, Yang-Mills instantons, and their dimensional reductions, and moduli spaces of vector bundles
2. Boumediene Hamzi, Applied Dynamical Systems, Control Theory
3. Ye Li, Geometric Analysis