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:
CONRAD PLAUT, (Head), Ph.D. Maryland, Differential geometry, geometry of groups and metric spaces.
DAVID F. ANDERSON, (Associate Head and Director, Graduate Program), Ph.D. Chicago, Algebra - commutative ring theory factorization in integral domains and zero-divisor graphs.
JAMES CONANT, (Associate Head and Director, Undergraduate Program), Ph.D., UC San Diego, Low dimensional topology, knots, three-manifolds, mapping class groups, geometric group theory, quantum algebra.
REMUS NICOARA, (Director, Undergraduate Honors Program), Ph.D. UCLA, Functional Analysis and Operator Algebras - subfactor theory, non-commutative ergodic theory, actions of groups on von Neumann algebras, Hadamard matrices.
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.
CHARLES COLLINS, Ph.D., University of Minnesota, Numerical analysis, scientific computing, applications to continuum mechanics.
ROBERT J. DAVERMAN, Ph.D. Wisconsin, Geometric Topology - topology of finite dimensional manifolds; decomposition theory.
JUDY D. DAY, , Ph.D., University of Pittsburgh, Mathematical Biology (in particular: inflammation; immunology; translational medicine, biomedical applications of control), Dynamical systems (transient dynamics).
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.
MICHAEL FRAZIER, Ph.D., UCLA, harmonic analysis, wavelets, partial differential equations.
ALEXANDRE FREIRE, Ph.D. Princeton, Geometric analysis: partial differential equations arising in differential geometry, in particular geometric flows.
VITALY V. GANUSOV, Ph.D., Emory University - Mathematical modeling in the biology of infectious diseases and immunology; a strong emphasis on data-driven modeling (application of math models to experimental data).
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.
CORY D. HAUCK, Ph.D. University of Maryland, Applied Mathematics - Computational aspects of kinetic theory and hyperbolic PDE, including multiscale methods, moments closures, and asymptotic limits.
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.
JOAN LIND, Ph.D. University of Washington, Complex analysis and stochastic analysis.
VASILEIOS MAROULAS, Ph.D. University of North Carolina at Chapel Hill, Probability and Mathematical Statistics: Nonlinear Estimation and Filtering with applications to multi-target tracking, Large deviations and applications to stochastic (partial) differential equations and image analysis.
SHASHIKANT MULAY, Ph.D. Purdue, Algebraic Geometry, Commutative Algebra.
PHAN, TUOC, Ph.D., University of Minnesota, Partial Differential Equations.
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.
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.
FERNANDO SCHWARTZ, Ph.D. Cornell, Geometric Analysis, Partial Differential Equations, Geometric Flows, General Relativity.
HENRY
SIMPSON, Ph.D. California Institute of Technology, Applied Math.
- elasticity, perturbation, bifurcation theory.
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.
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.
YULONG XING, Ph.D., Brown University, Computational and Applied Mathematics: numerical methods for nonlinear partial differential equations, multi-scale modeling, analysis and computation, computational fluid dynamics, geophysical flows.
JIE XIONG, Ph.D. University of North Carolina, Stochastic differential equations, Markov processes, Limit theory, Stochastic analysis, Stochastic filtering, Mathematical finance.
updated: 09/14/12