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Teaching & Research Faculty

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    Nicole Abaid profile picture
    Nicole Abaid , bio

    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.

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    Silmane Adjerid profile picture
    Slimane Adjerid , bio

    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.

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    Christopher Beattie profile picture
    Christopher Beattie , bio

    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.

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    Jeff Borggaard profile picture
    Jeff Borggaard , bio

    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.

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    John Burns profile picture
    John Burns , bio

    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.

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    Lauren Childs profile picture
    Lauren M. Childs , bio

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

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    Julianne Chung. Headshots for the Virginia Tech College of Science.
    Julianne Chung , bio

    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.

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    Matthias Chung  profile picture
    Matthias Chung , bio

    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.

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    Stanca Ciupe profile picture
    Stanca M. Ciupe , bio

    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.

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    Alex Elgart profile picture
    Alex Elgart , bio

    Professor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.

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    Mark Embree profile picture
    Mark Embree , bio

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

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    Martin Fraas profile picture
    Martin Fraas , bio

    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.

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    Serkan Gugercin profile picture
    Serkan Gugercin , bio

    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.

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    Peter Haskell profile picture
    Peter Haskell , bio

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

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    Russell Hewett profile picture
    Russell Hewett , bio

    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.

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    Traian Illescu profile picture
    Traian Iliescu , bio

    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.

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    Estrella Johnson profile picture
    Estrella Johnson , bio

    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.

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    Jong Uhn Kim , bio

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

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    Martin Klaus , bio

    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.

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    Tao Lin profile picture
    Tao Lin , bio

    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.

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    Peter Linell profile picture
    Peter A. Linnell , bio

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

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    Honghu Liu profile picture
    Honghu Liu , bio

    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.

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    Nick Loehr profile picture
    Nick Loehr , bio

    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.

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    Eileen Martin profile picture
    Eileen Martin , bio

    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.

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    Gretchen Matthews , bio

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

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    Leonardo Mihalcea profile picture
    Leonardo Mihalcea , bio

    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.

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    Anderson Norton profile picture
    Anderson Norton , bio

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

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    Daniel Orr profile picture
    Daniel Orr , bio

    Daniel Orr conducts research in representation theory and algebraic combinatorics.

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    Eyvindur Paisson profile picture
    Eyvindur Ari Palsson , bio

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

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    Robert Rogers profile picture
    Bob Rogers , bio

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

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    John Rossi profile picture
    John Rossi , bio

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

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    Omar Saucedo profile picture
    Omar Saucedo , bio

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

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    Mark Shimozono , bio

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

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    Sho-Ming Sun profile picture
    Shu-Ming Sun , bio

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

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    Went Sun profile picture
    Wenbo Sun , bio

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

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    Peter Wapperom , bio

    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.

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    Timothy Warburton profile picture
    Tim Warburton , bio

    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.

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    Layne T. Watson profile picture
    Layne T. Watson , bio

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

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    Anderson Norton profile picture
    Megan Wawro , bio

    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.

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    Yun Yang profile picture
    Yun Yang , bio

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

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    Pengtao Yue profile picture
    Pengtao Yue , bio

    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.

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    Lizette Zietsman , bio

    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

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    Rachel Arnold profile picture
    Rachel Arnold , bio

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

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    Arunabha Biswas profile picture
    Arunabha Biswas , bio

    Visiting Assistant Professor Biswas works in number theory.

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    Palanivel Manoharan profile picture
    Palanivel Manoharan , bio

    Research interest in Geometry of Manifolds and geometry of quantum states.

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    Sanja Pantic profile picture
    Sanja Pantic , bio

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

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    Nur Saglam profile picture
    Nur Saglam , bio

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

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    Rahul Singh profile picture
    Rahul Singh , bio

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

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    Rebecca Steiner profile picture
    Rebecca M. Steiner , bio

    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.

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    Turker Topcu profile picture
    Turker Topcu , bio

    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.

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    photo of Eric Ufferman
    Eric Ufferman , bio

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

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    Jason R. Wilson , bio

    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

Retired & Emeritus Faculty

  • Bio Item
    Ezra Brown profile picture
    Ezra (Bud) Brown , bio

    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.

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    Martin Day profile picture
    Martin Day , bio

    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.

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    William Floyd  profile picture
    William Floyd , bio

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

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    George Hagedorn profile picture
    George Hagedorn , bio

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

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    Michael Renardy profile picture
    Michael Renardy , bio

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

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    Yuriko Renardy , bio

    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.