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:
MICHAEL FRAZIER, (Head), Ph.D., UCLA, harmonic analysis, wavelets, partial differential equations.
DAVID F. ANDERSON, (Associate Head and Director, Graduate Program), Ph.D. Chicago, Algebra - commutative ring theory.
CHARLES COLLINS, (Associate Head and Director, Undergraduate Program), Ph.D., University of Minnesota, Numerical analysis, scientific computing, applications to continuum mechanics.
CONRAD PLAUT, (Director, Undergraduate Honors Program), Ph.D. Maryland, Differential geometry, geometry of groups and metric spaces.
VASILIOS ALEXIADES, Ph.D. Delaware, 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, Ph.D., University of Saskatchewan (Canada), geometric topology, dimension theory, geometric group theory.
XIA CHEN, Ph.D. Case Western Reserve University, Probability -- limit laws, Markov chains, probability in Banach spaces, small ball probabilities, branching random walks, and sample path intersection.
JAMES CONANT, Ph.D., UC San Diego, Low dimensional topology, knots, three-manifolds, mapping class groups, geometric group theory, quantum algebra.
ROBERT J. DAVERMAN, Ph.D. Wisconsin, Geometric Topology - topology of finite dimensional manifolds; decomposition theory.
JOCHEN DENZLER, PhD., ETH Zurich, Partial Differential Equations (in particular spectral, geometric, and dynamical systems questions).
DAVID E. DOBBS , Ph.D. Cornell, Commutative Algebra; Homological Algebra; Algebraic Geometry; Algebraic Number Theory - integral domains, studied internally via prime ideals and externally via overrings.
JERZY DYDAK, Ph.D. Warsaw (Poland), Topology (dimension theory) and coarse geometry.
XIAOBING FENG, Ph.D., Purdue University, 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, Ph.D., University of Texas, Austin, Algebraic Number Theory, Arithmetic Geometry and Applications.
ALEXANDRE FREIRE, Ph.D. Princeton, Differential Geometry - Harmonic Functions and spectrum of complete manifolds, harmonic maps, geodesic flows.
SERGEY GAVRILETS, Ph.D. Moscow State University - Mathematical Evolutionary Theory, Math Ecology, Dynamical Systems.
ROLAND GLOWINSKI, Ph.D. University Paris VI, Paris, France - Numerical analysis and applied mathematics.
LOUIS J. GROSS, Ph.D. Cornell, Mathematical and Computational Ecology- math models in plant, behavioral and landscape ecology; and spatially-explicit models.
DON B. HINTON, Ph.D. Tennessee, 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, Ph.D. Harvard, Numerical Analysis; Scientific Computing - applications to ODEs and PDEs.
SUZANNE LENHART, Ph.D. Kentucky, Differential Equations - PDEs, systems, optimal control, applied modeling, disease, population and natural resource modeling.
SHASHIKANT MULAY, Ph.D. Purdue, Algebraic Geometry, Commutative Algebra.
REMUS NICOARA,Ph.D. UCLA, Operator Algebras - subfactor theory, non-commutative ergodic theory, actions of groups on von Neumann algebras, Hadamard matrices.
PETR PLECHAC, Ph.D. Charles University (Czech Rep), numerical analysis, scientific computing, applied stochastic analysis.
BALRAM S. RAJPUT, Ph.D. Illinois, Probability - probability measures on linear spaces; path and structural properties of stable and other infinitely divisible processes.
STEFAN RICHTER, Ph.D. Michigan, Operator Theory; Complex Analysis - invariant subspaces of multiplication operators on spaces of analytic functions.
JAN ROSINSKI, Ph.D. Wroclaw (Poland), Probability - stochastic processes; path properties, weak convergence, stochastic integration and probabilities on infinite dimensional spaces.
PHILIP W. SCHAEFER, Ph.D. Maryland, Partial Differential Equations - overdetermined and nonstandard boundary value problems in maximum principles and bounds in elliptic partial differential equations and systems, blow-up phenomena in parabolic problems.
TIM P. SCHULZE, Ph. D. Northwestern, Applied Math - modeling, analysis and numerical simulation of solidification, epitaxial film growth and other physical phenomena involving fluid mechanics and/or phase change.
HENRY SIMPSON, Ph.D. California Institute of Technology, Applied Math. - elasticity, perturbation, bifurcation theory.
RAJ PAL SONI, Ph.D. Oregon State, Classical Analysis; Mathematical Models in Business and Economics.
KENNETH R. STEPHENSON, Ph.D. Wisconsin, Complex Function Theory - geometry of circle packing; discrete geometric function theory and discrete conformal geometry
CARL SUNDBERG, Ph.D. Wisconsin, Analysis; Mathematical Physics.
MORWEN B. THISTLETHWAITE, Ph.D. Manchester (England), Knot Theory.
GROZDENA TODOROVA, Ph.D., Moscow State University, Nonlinear partial differential equations, mathematical physics, formation of singularities, stability theory.
PAVLOS TZERMIAS, Ph.D., California (Berkeley), Arithmetical Algebraic geometry, Number Theory.
WILLIAM R. WADE, Ph.D. California (Riverside), Harmonic Analysis - Fourier series of orthogonal polynomials; Walsh series; Haar series; Vilenkin series; analysis on zero-dimensional, compact, abelian groups.
CARL G. WAGNER, Ph.D. Duke, Enumerative Combinatorics; Foundations of Probability and Decision Theory.
CHENG WANG, Ph.D. Temple University, design and analysis of numerical methods for fliud flow, such as Geophysical Fluid Dynamics (GD) and structural bifurcation of 2-D incompressible fluid.
STEVEN WISE, Ph.D., University of Virginia. 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.
JIE XIONG, Ph.D. University of North Carolina, Stochastic differential equations, Markov processes, Limit theory, Stochastic analysis, Stochastic filtering, Mathematical finance.
updated: 02/3/08