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Teaching & Research Faculty

      • Nicole Abaid profile picture
      • Nicole Abaid

        Dr. Abaid's research focuses on networked dynamical systems. She studies diverse biological systems, ranging from animal groups to brain networks, to inspire novel results in mathematical modeling and control.

      • Silmane Adjerid profile picture
      • Slimane Adjerid

        Professor Adjerid conducts research on developing new discontinuous finite element methods for solving partial differential equations. His interest was on studying the superconvergence properties of discontinuous Galerkin methods that can be used to estimate discretization errors. Lately he his working on high-order immersed finite elements for interface problems.

      • Christopher Beattie profile picture
      • Christopher Beattie

        The principal research interests of Professor Beattie are in the areas of scientific computing and large scale computational linear algebra, with an emphasis on iterative Krylov methods. His primary focus is on model reduction of large scale dynamical systems with a goal of developing practical and rigorous computational algorithms for efficient manipulation and simulation of systems arising from physical models frequently described by systems of partial differential equations.

      • Jeff Borggaard profile picture
      • Jeff Borggaard

        Professor Borggaard studies the design and control of fluids. This includes computational fluid dynamics, control theory, optimization, sensitivity analysis, uncertainty quantification, and reduced-order models. In each case, the application of these research areas to partial differential equations that describe fluids are of interest.

      • John Burns profile picture
      • John Burns

        Professor Burns' current research is focused on computational methods for modeling, control, estimation and optimization of complex systems where spatially distributed information is essential. This includes systems modeled by partial and delay differential equations. Recent applications include modeling and control of thermal fluids, design and thermal management systems and optimization of mobile sensor networks.

      • Lauren Childs profile picture
      • Lauren M. Childs

        Professor Childs develops and analyzes mathematical and computational models to examine biologically-motivated questions.

      • Julianne Chung. Headshots for the Virginia Tech College of Science.
      • Julianne Chung

        Professor Chung's research interests include numerical methods and software for computing solutions to large-scale inverse problems, such as those that arise in imaging applications.

      • Matthias Chung  profile picture
      • Matthias Chung

        Professor Chung's research concerns computational methods in the intersection of computational modeling, machine learning, data analytics with an emphasis on inverse problems. Driven by its application, he and his group develop and analyze efficient numerical methods for inverse problems. Applications of interest are, but not limited to, systems biology, medical and geophysical imaging, and dynamical systems.

      • Stanca Ciupe profile picture
      • Stanca M. Ciupe

        Dr. Ciupe's research interest is in the field of applied mathematics, specifically, systems of ordinary and delay differential equations and their application to biology and medicine.

      • Mark Embree profile picture
      • Mark Embree

        Professor Embree studies numerical linear algebra and spectral theory, with particular interest in eigenvalue computations for nonsymmetric matrices and transient behavior of dynamical systems.

      • Martin Fraas profile picture
      • Martin Fraas

        Assistant professor Martin Fraas works in mathematical physics, studying mathematical structures of quantum mechanics. His research interests include topological phases of matter, open quantum systems, and the adiabatic theory.

      • Serkan Gugercin profile picture
      • Serkan Gugercin

        Professor Gugercin studies computational mathematics, numerical analysis, and systems and control theory with a focus on data-driven modeling and model reduction of large-scale dynamical systems with applications to inverse problems, structural dynamics, material design, and flow control.

      • Peter Haskell profile picture
      • Peter Haskell

        Professor Haskell conducts research in index theory, which is the study of the connections between analysis and topological or geometric structures.

      • Russell Hewett profile picture
      • Russell Hewett

        Professor Hewett's research interests lie at the intersection of inverse problems, deep learning, and high-performance computing. His research is motivated by problems in science with extreme data and compute scales, for example geoscience and space physics. Research in these areas also involves developments in numerical differential equations, optimization, estimation, and statistics.

      • Traian Illescu profile picture
      • Traian Iliescu

        At the core of Professor Iliescu's research program is his vision of using both mathematics and computations to provide new knowledge on turbulent fluid flows dominated by coherent structures and create models with practical impact in engineering, climate modeling, and medicine. The ultimate goal of his research program is to transform turbulence modeling as we know it today and use mathematics, computations, physics, and data to discover general laws of turbulent fluid flows.

      • Estrella Johnson profile picture
      • Estrella Johnson

        Professor Johnson's research focuses on the pedagogical practices of mathematicians, with the goal of better understanding and supporting high quality, ambitious teaching in undergraduate mathematics classrooms.

      • Jong Uhn Kim

        Professor Kim's research has been in analysis of partial differential equations which arise in fluid mechanics and elasticity.

      • Martin Klaus

        Professor Klaus' research mainly concerns the spectral theory of linear operators and their connection with nonlinear evolution equations. This research has applications in the study of optical pulse propagation.

      • Tao Lin

        Professor Tao Lin's main research interest is the numerical analysis on computational methods related with differential equations. He designs new numerical methods and carry out their convergence analysis. His recent research focuses on immersed finite element (IFE) methods that can solve interface problems of partial differential equation with interface independent meshes. He is also working on applying IFE methods to interface inverse problems via the shape optimization methodology.

      • Peter Linell profile picture
      • Peter A. Linnell

        Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.

      • Honghu Liu profile picture
      • Honghu Liu

        Professor Liu's research focuses on the design of effective low-dimensional reduced models for nonlinear deterministic and stochastic PDEs as well as DDEs. Applications to classical and geophysical fluid dynamics are actively pursued. Particular problems that are addressed include bifurcation analysis, phase transition, surrogate systems for optimal control, and stochastic closures for turbulence.

      • Nick Loehr profile picture
      • Nick Loehr

        Professor Loehr conducts research in algebraic combinatorics. His work focuses on the combinatorics of symmetric functions, quasisymmetric functions, lattice paths, and tableau-like structures. These objects encode remarkable algebraic information about group representations, polynomial invariants, and Lie algebras.

      • Eileen Martin profile picture
      • Eileen Martin

        Dr. Martin is an assistant professor doing research focused on computational mathematics, particularly with applications to geosciences. Her interests include data-intensive high performance computing, signal processing, imaging science, inverse problems, and working with large-scale sensor networks collecting streaming data.

      • Gretchen Matthews

        Professor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.

      • Leonardo Mihalcea profile picture
      • Leonardo Mihalcea

        Associate Professor Mihalcea studies classical and quantum intersection rings for flag manifolds and related algebraic varieties, an area combining techniques from Algebraic Geometry, Combinatorics, and Geometric Representation Theory.

      • Anderson Norton profile picture
      • Anderson Norton

        Professor Norton conducts research in mathematics education, building psychological models of students' mathematics and their mathematical development.

      • Daniel Orr profile picture
      • Daniel Orr

        Daniel Orr conducts research in representation theory and algebraic combinatorics.

      • Eyvindur Paisson profile picture
      • Eyvindur Ari Palsson

        Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.

      • Robert Rogers profile picture
      • Bob Rogers

        Professor Rogers studies continuum mechanics and nonconvex problems in partial differential equations. He also studies models of acoustics.

      • John Rossi profile picture
      • John Rossi

        Professor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.

      • Omar Saucedo profile picture
      • Omar Saucedo

        Assistant Professor Saucedo's research is Mathematical Biology with an emphasis on modeling infectious diseases.

      • Mark Shimozono

        Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.

      • Sho-Ming Sun profile picture
      • Shu-Ming Sun

        Professor Sun's research interests include the mathematical theory of fluid mechanics, the theory of partial differential equations, and applied nonlinear analysis.

      • Went Sun profile picture
      • Wenbo Sun

        Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.

      • Peter Wapperom

        Professor Wapperom conducts research in computational fluid dynamics of complex fluids. This involves the mathematical modeling and numerical simulation of the flow of polymeric liquids and fluids reinforced with rigid particles.

      • Timothy Warburton profile picture
      • Tim Warburton

        Professor Warburton holds the John K. Costain Chair in the College of Science at Virginia Tech and is a faculty member of both the Department of Mathematics and the Computational Modeling and Data Analytics program. His research interests include developing new parallel algorithms and methods that are used to solve PDE based physical modes on the largest supercomputers.

      • Layne T. Watson profile picture
      • Layne T. Watson

        Dr. Watson's research interests include numerical analysis; nonlinear programming; mathematical software; solid mechanics; fluid mechanics; image processing; parallel computation; bioinformatics.

      • Anderson Norton profile picture
      • Megan Wawro

        Associate Professor Wawro's research involves investigating students' reasoning about linear algebra in quantum mechanics and the development of inquiry-oriented instructional materials for linear algebra.

      • Yun Yang profile picture
      • Yun Yang

        Assistant professor Yang conducts research in ergodic theory and dynamical systems.

      • Pengtao Yue profile picture
      • Pengtao Yue

        Professor Yue works on the numerical simulation of flow problems with moving boundaries and complex rheology, including multiphase flow, viscoelastic fluids, dynamic wetting, and phase change phenomena.

      • Lizette Zietsman

        Professor Zietsman's research area covers the development and analysis of fundamental numerical algorithms arising in the study of stability, control and estimation of distributed parameter systems typical in structural control, fluid flow control, and thermal systems.

Collegiate & Visiting Faculty

      • Rachel Arnold profile picture
      • Rachel Arnold

        Dr. Arnold conducts research on mathematical teaching and learning in upper-level mathematics courses, such as Introduction to Proofs and Advanced Calculus.

      • Sanja Pantic profile picture
      • Sanja Pantic

        Professor Pantic has done research in nonlinear partial differential equations and numerical simulations of wave propagation.

      • Nur Saglam profile picture
      • Nur Saglam

        Visiting Assistant Professor Saglam's research interests are low-dimensional topology, symplectic topology and contact topology.

      • Rahul Singh profile picture
      • Rahul Singh

        Dr. Singh's research lies at the intersection of algebraic geometry and combinatorics.

      • Rebecca Steiner profile picture
      • Rebecca M. Steiner

        Dr. Steiner studies computability theory, the branch of mathematical logic concerned with finite algorithms and the mathematical problems which such algorithms can or cannot solve.

      • Turker Topcu profile picture
      • Turker Topcu

        Dr. Topcu works in the field of computational science. His research involves developing algorithms and codes to solve partial and ordinary differential equations to simulate quantum dynamical systems.

      • Eric Ufferman

        Collegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.

      • Jason R. Wilson

        Collegiate Assistant Professor Wilson teaches Math and CMDA classes. His research interests include large scale linear algebra, high performance computing, and the mathematical foundations of data science.

Instructional Faculty

      • Teffera M. Asfaw

        Dr. Teffera Asfaw conducts research in nonlinear analysis. The main research areas are degree and variational inequality theories and applications. The goal of the research is to derive existence theorems for inclusion and inequality problems and their applications to operator equations and inequalities in appropriate function spaces.

      • Teshome Balkew profile picture
      • Teshome Balkew

        My research interest is on Optimal Control Theory, Operations Research, Data Analytics.

      • Sarah Barreto profile picture
      • Sarah Barreto

        Dr. Barreto is an instructor who teaches undergraduate mathematics courses. She also serves as an advisor to math majors in the ADM option.

      • Head shot portrait for Graciela Cerezo in the College of Science at Virginia Tech.
      • Graciela Cerezo

        Dr Cerezo Menegay teaches undergraduate math, mainly Calculus and Differential Equations.

      • Josh Clemons profile picture
      • Josh Clemons

        Dr. Clemons does research in the overlapping ares of complex dynamical systems, ergodic theory, and topology. In addition to teaching a wide variety of traditional courses in differential equations and combinatorics. He is an Academic Manager at the Math Emporium.

      • Fariha Elsrrawi profile picture
      • Fariha Elsrrawi

        Dr. Elsrrawi's research interest is in partial differential equations, focused on nonlinear equations.

      • Jerri England

        Instructor England teaches Math 1524, Business Calculus, in the Math Emporium.

      • Shelley Farmer

        Shelley Farmer is a mathematics instructor who teaches 1000 and 2000 level courses. She serves as an advisor to freshman and sophomore mathematics majors. Shelley is also a member of the K-12 Outreach Committee.

      • Jessica Hurdus profile picture
      • Jessica Hurdus

        Jessica Hurdus, Advanced Instructor, teaches undergraduate math courses, chairs the lower-division math advising team, coordinates math transfer credit evaluations, and is a team member for Math Emporium online quiz and test development.

      • Ted Juste profile picture
      • Ted Juste

        Dr. Juste's research interests are in applied functional analysis, frame theory, phase retrieval, and applied harmonic analysis.

      • Head shot portrait for Kelli Karcher
      • Kelli Karcher

        Instructor Karcher conducts research in orderable group theory, studying the cardinality of a variety of solvable groups.

      • Numann Malik profile picture
      • Numann Malik

        Dr. Malik's interests lie in nonlinear partial differential equations; specifically the asymptotic behavior, orbital stability, and effective dynamics, of dark solitons that arise from defocusing nonlinear Schrodinger equations.

      • Jessica Schmale profile picture
      • Jessica Schmale

        Senior Instructor Schmale teaches undergraduate math courses, serves as a GTA mentor, coordinates Math 1225 Readiness, and is a team member for Math Emporium online quiz and test development.

      • Alison Sibol

        Alison Sibol works at the Math Emporium as a Staff Supervisor.

      • Steven Silber profile picture
      • Steven Silber

        Mr. Silber conducts research in mathematics education, examining students' engagement and reasoning in novel mathematical tasks.

      • Head shot portrait for Jessica Thompson in the College of Science at Virginia Tech.
      • Jessica Thompson

        Instructor Thompson teaches introductory courses including courses at the Math Emporium.

      • Victoria Truman profile picture
      • Victoria Truman

        Dr. Truman conducts research in mathematics education, studying mathematical problem-solving of college students and other adults in areas such as linear algebra with a particular focus on adults on the autism spectrum.

      • Joseph Wells  profile picture
      • Joseph Wells

        Dr. Wells thinks about most things related to complex hyperbolic geometry. In particular, he is interested in (non-)arithmetic subgroups of SU(n,1) and, lately, spherical CR-uniformizations of 3-manifolds.

      • Kyle Zachrich profile picture
      • Kyle Zachrich

        Instructor Zachrich has research interests in data visualization and educational animations.

Retired & Emeritus Faculty

      • Ezra Brown profile picture
      • Ezra (Bud) Brown

        Bud Brown does research in number theory (mainly algebraic number theory, quadratic forms, and elliptic curves), combinatorics (mainly combinatorial designs), expository mathematics (two dozen articles on a variety of topics), and cryptography.

      • Martin Day profile picture
      • Martin Day

        Professor Day's research focused on applications of the large deviations analysis of stochastic processes, specifically the classical exit problem for diffusions. Later work involved fluid limit analysis of queueing processes.

      • William Floyd  profile picture
      • William Floyd

        Professor Floyd conducts research in geometric group theory, complex dynamics, and discrete conformal geometry.

      • George Hagedorn profile picture
      • George Hagedorn

        Professor Hagedorn works in mathematical physics. He specializes in molecular quantum dynamics.

      • Michael Renardy profile picture
      • Michael Renardy

        Professor Renardy's research is in partial differential equations and applications to fluid mechanics, in particular viscoelastic flows.

      • Yuriko Renardy

        Professor Renardy's research concerns the modeling, analysis and computation of fluid motion, in particular fluids with interfaces and non-Newtonian fluids. She has worked in particular on problems of stability, pattern formation, deformation of drops, and thixotropic yield stress fluids.