**UT MATHEMATICS FACULTY 2016-2017**

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, Modeling, analysis, and
computation (including parallel computation) of realistic physical processes
involving systems of PDEs and ODEs, arising in biology (bacterial chemotaxis,
cardiac action potential propagation, phototransduction), in energy and
materials science (phase change processes, laser ablation, 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.

* YU-TING CHEN*, Ph.D. University of British Columbia (Canada), Probability theory, stochastic analysis, stochastic partial differential equations, and interacting particle systems.

** CHARLES COLLINS,** Ph.D., University of Minnesota, Numerical analysis, scientific computing, and modeling - application to continuum mechanics, biology and resource management.

** 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).

** DAVID E. DOBBS ,** Ph.D. Cornell, Commutative ring theory – prime ideals and properties of ring extensions; numerical semigroups; number theory; homological algebra. (Emeritus)

** JERZY DYDAK,** Ph.D. Warsaw (Poland), Axiomatic approaches to geometry, coarse geometry.

** CHRISTINA J. EDHOLM**, Ph.D., University of Nebraska-Lincoln, Mathematical Biology - optimal control, differential equations, invasive species, and diseases.

** 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 Biology (in particular, within-host dynamics of infectious diseases, immunology, with focus on HIV, malaria, and tuberculosis).

** 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.

* ANNA KAZANOVA*, Ph.D. University of Massachusetts, Amherst – Algebraic Geometry – Moduli spaces of curves and surfaces, combinatorial algebraic geometry.

** SUZANNE LENHART,** Ph.D. Kentucky, Mathematical biology, optimal control, partial differential equations with applications in population models, infectious diseases, invasive species, and natural resources.

** 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 Stochastic Processes: Stochastic Filtering, Stochastic Optimization and Large deviations; Mathematical Biology: Intracellular Tracking, and Phylogenetics. Data Sciences: Statistics for topological data analysis with applications to health and defense.

** 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 and Undergraduate Research), Ph.D., UCLA, Functional Analysis and Operator Algebras - subfactor theory, non-commutative ergodic theory, actions of groups on von Neumann algebras, Hadamard matrices.

** KARL-MIKAEL PERFEKT,** Ph.D., Lund University Analysis - operator theory, complex analysis, spectral theory, boundary integral equations.

** CONRAD PLAUT,** (Head), Ph.D., Maryland, Differential geometry, geometry of groups and metric spaces.

** TUOC PHAN**, 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 and Stochastic Processes: Stable, Levy, and infinitely divisible processes, high dimensional probability, stochastic analysis, stochastic chaos.

** 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.

** HENRY SIMPSON,** Ph.D. California Institute of Technology, Mathematical elasticity, nonlinear elliptic partial differential equations, variational and topological aspects, bifurcation.

** 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), Representation varieties of manifold groups, geometric structures, computational algebra.

** 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. (Emeritus)

** CARL G. WAGNER,** Ph.D. Duke, Enumerative Combinatorics; Foundations of Probability and Decision Theory. (Emeritus)

** CLAYTON WEBSTER**, Ph.D. Florida State, Mathematics - Analysis of high-dimensional PDEs, approximation theory, functional and numerical analysis, stochastic PDEs, and probability 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.