Mathematical research is an ongoing enterprise of deep vitality. The University of Tennessee has faculty in several different areas of mathematics who are heavily engaged in research and have worldwide recognition for their accomplishments. Our Barrett Lectures, an international conference that has been given since 1970, has achieved a reputation as a significant event in the world of mathematical research. We are also heavily committed to getting undergraduate students involved in research and have had an NSF-sponsored Research for Undergraduates program since 1987. The following is a list of faculty who are either tenured, tenure track or adjunct in the University of Tennessee Department of Mathematics, and who are of the rank of assistant professor or above.

Faculty

Michael Frazier, (Head), harmonic analysis, wavelets, partial differential equations.

David F. Anderson, (Associate Head and Director, Graduate Program), Algebra – commutative ring theory factorization in integral domains and zero-divisor graphs.

Charles Collins, (Associate Head and Director, Undergraduate Program), Numerical analysis, scientific computing, applications to continuum mechanics.

Conrad Plaut, (Director, Undergraduate Honors Program), Differential geometry, geometry of groups and metric spaces.

Vasilios Alexiades, Applied Math, PDEs, Scientific Computation – modeling, analysis, and numerical simulation of processes arising in biophysics (cell physiology, signal transduction) and in materials science (change of phase, heat and mass transfer).

Nikolay Brodskiy, Geometric topology, dimension theory, geometric group theory.

Xia Chen, Probability — limit laws, Markov chains, probability in Banach spaces, small ball probabilities, branching random walks, and sample path intersection.

James Conant, Low dimensional topology, knots, three-manifolds, mapping class groups, geometric group theory, quantum algebra.

Robert J. Daverman, Geometric Topology – topology of finite dimensional manifolds; decomposition theory.

Jochen Denzler, Partial Differential Equations (in particular spectral, geometric, and dynamical systems questions).

David E. Dobbs, Commutative Algebra; Homological Algebra; Algebraic Geometry; Algebraic Number Theory – integral domains, studied internally via prime ideals and externally via overrings.

Jerzy Dydak, Topology (dimension theory) and coarse geometry.

Xiaobing Feng, Computational and Applied Math – Nonlinear partial differential equations and their numerical solutions: multigrid and domain decomposition methods, porous media flow, attenuated waves, fluid-solid interaction, materials phase transition and geometric moving surfaces, imaging processing/computer vision.

Luis Finotti, Algebraic Number Theory, Arithmetic Geometry and Applications.

Alexandre Freire, Geometric analysis: partial differential equations arising in differential geometry, in particular geometric flows.

Sergey Gavrilets, Mathematical evolutionary theory, math ecology, dynamical systems.

Roland Glowinski, Numerical analysis and applied mathematics.

Louis J. Gross, Mathematical and Computational Ecology- math models in plant, behavioral and landscape ecology; and spatially-explicit models.

Don B. Hinton, Differential Equations – spectral properties of linear differential operators, including location and classification of the spectrum, qualitative behavior of the eigenfunctions and differential inequalities.

Ohannes Karakashian, Numerical Analysis; Scientific Computing – applications to ODEs and PDEs.

Suzanne Lenhart, Differential Equations – PDEs, systems, optimal control, applied modeling, disease, population and natural resource modeling.

Shashikant Mulay, Algebraic Geometry, Commutative Algebra.

Remus Nicoara, Functional Analysis and Operator Algebras – subfactor theory, non-commutative ergodic theory, actions of groups on von Neumann algebras, Hadamard matrices.

Petr Plechac, Numerical analysis, scientific computing, applied stochastic analysis.

Balram S. Rajput, Probability – probability measures on linear spaces; path and structural properties of stable and other infinitely divisible processes.

Stefan Richter, Operator Theory; Complex Analysis – invariant subspaces of multiplication operators on spaces of analytic functions.

Jan Rosinski, Probability – stochastic processes; path properties, weak convergence, stochastic integration and probabilities on infinite dimensional spaces.

Tim P. Schulze, Applied Math – modeling, analysis and numerical simulation of solidification, epitaxial film growth and other physical phenomena involving fluid mechanics and/or phase change.

Fernando Schwartz, Geometric Analysis, Partial Differential Equations, Geometric Flows, General Relativity.

Henry Simpson, Applied Math – elasticity, perturbation, bifurcation theory.

Raj Pal Soni, Classical Analysis; Mathematical Models in Business and Economics.

Kenneth R. Stephenson, Complex Function Theory – geometry of circle packing; discrete geometric function theory and discrete conformal geometry

Carl Sundberg, Analysis; Mathematical Physics.

Morwen B. Thistlethwaite, Knot Theory.

Grozdena Todorova, Nonlinear partial differential equations, mathematical physics, formation of singularities, stability theory.

Pavlos Tzermias, Arithmetical Algebraic geometry, Number Theory.

William R. Wade, Harmonic Analysis – Fourier series of orthogonal polynomials; Walsh series; Haar series; Vilenkin series; analysis on zero-dimensional, compact, abelian groups.

Carl G. Wagner, Enumerative Combinatorics; Foundations of Probability and Decision Theory.

Steven Wise, Computational Mathematics: efficient adaptive multigrid methods for interface problems in fluids, biology and materials; level-set and phase-field interface capture methods. Mathematical Biology: simulating tumor growth. Computational Materials Science: simulating crystal growth.

Yulong Xing, Computational and Applied Mathematics: numerical methods for nonlinear partial differential equations, multi-scale modeling, analysis and computation, computational fluid dynamics, geophysical flows.

Jie Xiong, Stochastic differential equations, Markov processes, Limit theory, Stochastic analysis, Stochastic filtering, Mathematical finance.

Below is a list of faculty that are currently receiving grants. Next to their name is the granting agency.

Vasilios Alexiades, National Institute of Health

David Anderson, National Science Foundation

Xia Chen, National Science Foundation

Charles Collins, National Science Foundation

James Conant, National Science Foundation

Robert Daverman, National Science Foundation

Jurek Dydak, National Science Foundation

Xiaobing Feng, National Science Foundation

Ohannes Karakashian, National Science Foundation

Suzanne Lenhart, National Science Foundation

Remus Nicoara, National Science Foundation

Conrad Plaut, National Science Foundation

Stefan Richter, National Science Foundation

Jan Rosinski, National Science Foundation

Tim Schulze, National Science Foundation and Department of Energy

Ken Stephenson, National Science Foundation

Carl Sundberg, National Science Foundation

Grozdena Todorova, National Science Foundation

Dr. Jie Xiong, National Security Agency

Contact

Conrad Plaut, Professor and Head
Department of Mathematics
College of Arts and Sciences
The University of Tennessee
227 Ayres Hall
1403 Circle Drive
Knoxville, TN 37996-1320

Phone: (865) 974-2463
Email: cplaut@utk.edu
Website: http://www.math.utk.edu/