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:
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).
DAVID F. ANDERSON, Ph.D. Chicago, Algebra - commutative ring theory factorization in integral domains and zero-divisor graphs.
MICHAEL W. BERRY, Ph.D. Illinois at Urbana-Champaign, Scientific Computation - data analytics and mining, bioinformatics, numerical linear algebra, and information retrieval.
NIKOLAY BRODSKIY, (Associate Head and Director, Undergraduate Program), Ph.D. University of Saskatchewan (Canada), geometric topology, dimension theory, geometric group theory.
DUSTIN CARTWRIGHT, Ph.D. University of California, Berkeley - Algebra - Tropical geometry, combinatorial algebraic geometry and commutative algebra, and applications of these.
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.
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. (Emeritus)
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).
JERZY DYDAK, Ph.D. Warsaw (Poland), Topology (dimension theory) and coarse geometry.
XIAOBING FENG, (Associate Head and Director, Graduate Program), 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.
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. (Emeritus)
MARIE JAMESON, Ph.D. Emory University, Number Theory - the theory of modular forms and its connections to partition functions, period polynomials, elliptic curves, and congruences.
OHANNES KARAKASHIAN, Ph.D. Harvard, Numerical Analysis; Scientific Computing - applications to ODEs and PDEs.
KENNETH S. KNOX, Ph.D. Stony Brook University, Geometric Analysis, Mathematical General Relativity.
KEI KOBAYASHI, Ph.D., Tufts University Probability - stochastic integration, stochastic differential equations, anomalous diffusion, fractional partial differential equations
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.
TADELE MENGESHA, Ph.D. Temple University, Applied Analysis: Integral equations, partial differential equations and calculus of variations applied to continuum mechanics.
SHASHIKANT MULAY, Ph.D. Purdue, Algebraic Geometry, Commutative 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.
CONRAD PLAUT, (Head), Ph.D. Maryland, Differential geometry, geometry of groups and metric spaces.
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.
ABNER J. SALGADO Ph.D., Texas A&M University, Numerical analysis.
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.
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.
YI ZHANG, Ph.D., Louisiana State University, Computational Mathematics: finite element analysis, variational inequalities, PDE-constrained optimization.