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Faculty in Research Areas

Algebra and Number Theory

Dustin Cartwright

  • Algebraic Geometry
  • Tropical Geometry
  • Applied Algebra

Luis Finotti

  • Arithmetic Geometry
  • p-Adic and Local Fields
  • Computational Aspects

Marie Jameson

  • Number Theory: Modular Forms

David Manderscheid

  • Representation Theory of p-adic Groups
  • Langlands Correspondence
  • Theta Correspondence

Shashikant Mulay

  • Commutative Algebra
  • Algebraic Geometry

Remus Nicoara

Morwen Thistlethwaite

  • Discrete Subgroups of Lie Groups
  • Computational Algebra

Analysis

Michael Frazier

  • Wavelets
  • Harmonic Analysis
  • Function Spaces

Joan Lind

  • Complex Analysis
  • Probability

Remus Nicoara

  • Operator Algebras
  • Functional Analysis

Stefan Richter

  • Complex Analysis
  • Functional Analysis

Vyron Vellis

  • Geometric Function Theory
  • Geometric Measure Theory
  • Complex Analysis

Computational and Applied Mathematics

Michael Berry

Charles Collins

  • Mathematical Ecology/Biology

Xiaobing Feng

  • Numerical PDEs and Scientific Computing

Ohannes Karakashian

  • Finite Element and discontinuous Galerkin methods
  • Fast iterative solvers, Domain Decomposition
  • Navier-Stokes equations, nonlinear dispersive equations

Vasileios Maroulas

  • Scientific Machine Learning

Duc Nguyen

  • Mathematical Biology
  • High Order Interface Methods
  • Numerical PDE
  • AI-assistant Numerical Methods

Olivia Feldman

Abner J. Salgado

  • Numerical Analysis

Tim Schulze

  • Materials Science
  • Crystal Growth
  • Kinetic Monte Carlo Simulation

Ioannis Sgouralis

  • Statistical Optics and image analysis
  • Inverse problems
  • Multiscale modeling

Christopher Strickland

  • Modeling and analysis of organismal and population ecology and substance use disorder
  • Collective behavior
  • Invasive dispersal modeling

Steve Wise

  • Multi-phase Flows, Moving boundary problems
  • Numerical methods for PDE
  • Fast solvers for Nonlinear Elliptic PDE

Differential Geometry

Theodora Bourni

  • Geometric Analysis
  • Geometric measure theory

Alexandre Freire

  • Geometric Analysis
  • Analysis on manifolds

Duc Nguyen

  • Differential Geometry-based Learning Analysis
  • Manifold Learning

Conrad Plaut

  • Riemannian Geometry
  • Metric Geometry / Alexandrov Spaces
  • Geometry of Fractals

Vyron Vellis

  • sub-Riemannian Geometry
  • Metric Geometry
  • Geometry of Fractals

Mathematical Biology

Nina Fefferman

  • Epidemiology & BioSecurity
  • Evolution and Stability of Social-Behavioral Systems
  • Self-organizing Adaptive Complex Systems

Xiaobing Feng

  • Systems biology and gene function prediction

Sergey Gavrilets

  • Biological, social, and cultural evolution.
  • Human origins.
  • Social complexity, conflict, and cooperation in historical and modern societies.

Suzanne Lenhart

  • Optimal Control of ODEs, PDEs, discrete and integrodifference equations
  • Population Models, Infections Diseases, One Health
  • Natural Resource Modeling, Invasive Species, Agent Based Models

Vasileios Maroulas

  • Statistical Learning Methods in Neuroscience and Molecular Biology

Duc Nguyen

  • AI-Driven Mathematical Biology
  • Biomolecular Data Representations
  • Protein Modeling
  • Molecular Conformation Ensembles
  • Quantitative Systems Pharmacology
  • Drug Discovery

Olivia Prosper

Ioannis Sgouralis

  • Biomedicine
  • Single molecule biophysics/biochemistry
  • Central dogma of biology

Christopher Strickland

  • Mathematical Modeling
  • Complex Systems
  • Population Ecology

Steve Wise

  • Biological Membranes

Xinyue Zhao

Partial Differential Equations

Theodora Bourni

Jochen Denzler

  • Differential Equations

Xiaobing Feng

  • Fully nonlinear PDEs and geometric flows

Michael Frazier

  • Schrodinger Operators

Alexandre Freire

  • Geometric flows
  • Spectrum of Riemannian manifolds

Suzanne Lenhart

  • Parabolic Systems
  • First order PDEs for age structure models
  • Elliptic equations for population models

Tadele Mengesha

  • Partial differential equations, system of integral equations applied to mechanics
  • Calculus of variations

Tuoc Phan

  • Partial differential equations

Henry Simpson

  • Mathematical Elasticity
  • Nonlinear Elliptic Partial Differential Equations, Variational and Topological Aspects, Bifurcation
  • Population Ecology

Grozdena Todorova

  • Hyperbolic and Parabolic Partial Differential Equations
  • Mathematical Physics

Steve Wise

  • Nonlinear Parabolic PDE
  • Existence, Uniqueness, and Regularity of Solutions

Probability and Stochastic Processes

Xia Chen

  • Large Deviation
  • Stochastic partial differential equations
  • Brownian motions and random walks

Xiaobing Feng

  • Nonlinear stochastic PDEs and their numerical solutions

Vasileios Maroulas

  • Applied probability

Hung Nguyen

  • Stochastic ordinary / partial differential equations

Jan Rosinski

  • High dimensional probability
  • Stable and infinitely divisible processes
  • Stochastic analysis

Statistics and Data Analysis

Vasileios Maroulas

  • Computational Bayesian Statistics
  • Topological Data Analysis
  • Foundations of Data Science

Duc Nguyen

  • Topological Data Analysis
  • Low-dimensional Mathematical Representations
  • Large Language-Based Models
  • Graph Neural Networks
  • Multitask Learning
  • Manifold Learning
  • Transfer Learning
  • Autoencoder
  • Generative Complex Networks

Jan Rosinski

  • High Dimensional Probability

Ioannis Sgouralis

  • Data modeling and interpretation
  • Bayesian nonparametrics
  • Computational statistics

Topology

Nikolay Brodskiy

  • Geometric Group Theory

Jerzy Dydak

  • Geometry

Vasileios Maroulas

  • Applied Topology

Duc Nguyen

  • Topological Data Analysis

Conrad Plaut

  • Discrete Homotopy theory
  • Topological Groups
  • Generalized Covering Spaces

Yulan Qing

Department of Math

College of Arts and Sciences

227 Ayres Hall
1403 Circle Drive
Knoxville TN 37996-1320

Email: math_info@utk.edu

Phone: 865-974-2461

The University of Tennessee, Knoxville
Knoxville, Tennessee 37996
865-974-1000

The flagship campus of the University of Tennessee System and partner in the Tennessee Transfer Pathway.

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