Mathematics : 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, Astrophysics
5. Robert L Bryant, Nonlinear Partial Differential Equations and Differential Geometry
6. Rick Durrett, Probability problems that arise from genetics and ecology, especially stochastic ...
7. Richard M Hain, Topology of Algebraic Varieties, Hodge Theory, and Moduli of Curves
8. John Harer, Computational Topology, Computational Biology, Algorithms
9. Harold Layton, Mathematical Physiology
10. Jian-Guo Liu, Numerical Analysis, Partial Differential Equations, Computational Fluid Dynamics
11. Ezra Miller, Combinatorial aspects of geometry and algebra, with applications
12. William L Pardon, Algebra and Geometry of Varieties
13. Arlie O Petters, ...
14. Michael C Reed, Analysis, Applications of Mathematics to Physiology and Medicine
15. Donald Rose, Numerical solution of nonlinear algebraic and differential equations, numerical linear ...
16. Leslie D. Saper, Locally symmetric varieties, Number theory and automorphic forms,
    L²-cohomology and intersection cohomology, Geometrical analysis of singularities
17. David G Schaeffer, Applied Mathematics, especially Partial Differential Equations
18. Chad Schoen, Algebraic Geometry
19. Mark A Stern, Geometric Analysis, Yang-Mills theory, Hodge theory, string theory
20. John Trangenstein, Adaptive mesh refinement, Multigrid preconditioners
21. Stephanos Venakides, Integrable systems, Wave motion in complex media, Mathematical biology
22. Thomas P Witelski, Fluid Dynamics, Perturbation Methods, Asymptotic Analysis, Nonlinear Ordinary and Partial differential equations
23. 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. Lenhard L Ng, Symplectic geometry, Low dimensional topology, Contact geometry, Knot theory, Holomorphic curves
4. M. Ronen Plesser, String Theory and Quantum Field Theory

Assistant Professors

1. Anita T Layton, Mathematical physiology; Multiscale numerical methods; Numerical methods for immersed boundary problems.
2. Mauro Maggioni, Harmonic analysis, with applications to statistical analysis of high-dimensional data, machine learning, imaging.
3. Sayan Mukherjee, Computational biology, geometry and topology, machine learning
4. James Nolen, Partial differential equations, stochastic processes, random media, applied mathematics, asymptotic analysis

Assistant Research Professors

1. Carla Cederbaum, Differential Geometry; Geometric Analysis; Calculus of Variations; General Relativity
2. Badal Joshi, Mathematical biology, stochastic processes, dynamical systems.
3. Sonja Mapes, Commutative Algebra, Combinatorics

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. Jonathan M. 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. Nathaniel K Strawn, Applied Harmonic Analysis, Applied Geometry, Bayesian Statistics, Machine Learning

Lecturers

1. Rann Bar-On, Mathematics Education

Visiting Faculty

1. Amir Aazami, Geometry, Mathematical Relativity (gravitational lensing, black holes, spacetime singularities)
2. Paul L. Bendich, I work in computational topology, which for me means adapting ...
3. Guangliang Chen, analysis of high-dimensional data, machine learning
4. Christopher R Cornwell, Low-dimensional topology, contact geometry, knot theory
5. Karin Leiderman, Mathematical Biology
6. Ye Li, Geometric Analysis
7. Kevin A McGoff, Dynamical systems, ergodic theory, probability, and statistics
8. Yuriy Mileyko, Computational topology, topological data analysis, mathematical biology
9. Mainak Patel, Mathematical Biology
10. Marc D Ryser, Mathematical Biology, Probability, Stochastic PDEs, Applied Analysis
11. Rayan Saab, My current research focuses on both the mathematical and practical ...
12. David J. Sivakoff, Probability, Stochastic Processes
13. Jessica Zuniga, Probability

Graduate Students

1. Alex Aguado, Geometric topology, Mapping class groups
2. Brian D. Fitzpatrick, Category Theory, Homological Algebra
3. Benjamin Gaines, Algebraic Geometry, Toric Varieties
4. Aaron D. Jackson, Analysis, PDE
5. Hyeongkwan Kim, algebra
6. Tiffany N. Kolba, Stochastic Differential Equations
7. Sean D. Lawley, I am interested in applications of analysis and probability to ...
8. Junchi Li, My research interests lie primarily in stochastic dynamics on graphs ...
9. Shishi Luo, Modeling the ecology and evolution of infectious diseases
10. Elizabeth A. Munch, Computational Topology
11. Christopher O'Neill, Combinatorics
12. Alan R. Parry, Differential Geometry
13. Harrison D. Potter, Fluid Dynamics of Thin Liquid Films
14. Alex D Pruss, Differential Equations
15. David E. Rose, Categorification, Knot homology
16. Ioannis Sgouralis, Mathematical Physiology
17. Kangkang Wang, Algebraic Geometry
18. Tatsunari Watanabe, Grothendieck section conjecture, Fundamental groups, Moduli spaces of curves
19. Hangjun Xu, Differential Geometry and Geometric Analysis