**UT MATHEMATICS FACULTY 2014-2015**

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.

* 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. (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.

**Ph.D. California Institute of Technology, Applied Math. - elasticity, perturbation, bifurcation theory.**

*HENRY SIMPSON*,** 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.