Faculty
Teaching & Research Faculty
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Nicole Abaid , bioDr. 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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Slimane Adjerid , bioProfessor Adjerid conducts research on developing new discontinuous finite element methods for solving partial differential equations.
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Christopher Beattie , bioThe 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.
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Jeff Borggaard , bioProfessor 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 , bioProfessor 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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Paul Cazeaux , bioProfessor Cazeaux's research deals with multiscale phenomena in mathematical physics and biology, with recent applications in quantum chemistry and condensed matter physics (2D materials).
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Lauren M. Childs , bioProfessor Childs develops and analyzes mathematical and computational models to examine biologically-motivated questions.
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Stanca M. Ciupe , bioDr. 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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Eric de Sturler , bioProfessor de Sturler's research focuses on numerical analysis for large-scale computational problems with an emphasis on fast solvers for linear and nonlinear systems, inverse problems and parameter estimation, optimization, and design, including iterative solvers and numerical linear algebra, randomization, stochastic methods, model reduction, and high performance computing with applications in computational mechanics, such structural optimization and computational fluid dynamics, tomography and image reconstruction, big data, computational physics, biology, and computer graphics.
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Alex Elgart , bioProfessor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.
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Mark Embree , bioCMDA Program Director 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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Serkan Gugercin , bioProfessor 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 , bioProfessor Haskell conducts research in index theory, which is the study of the connections between analysis and topological or geometric structures.
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Traian Iliescu , bioAt 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 , bioProfessor 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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Jason LeGrow , bioProfessor LeGrow's research is in the design, analysis, and optimization of isogeny-based cryptographic protocols.
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Tao Lin , bioProfessor 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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Honghu Liu , bioProfessor 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 , bioProfessor 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 , bioDr. 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 , bioProfessor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.
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Agnieszka Miedlar , bioProfessor Miedlar conducts research in numerical analysis and scientific computing, with a focus on iterative solvers for large-scale linear systems and eigenvalue problems, and adaptive finite element methods (AFEMs).
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Leonardo Mihalcea , bioAssociate 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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Bio ItemTravis Morrison , bio
Professor Morrison's research is in algorithmic number theory and applications to cryptography.
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Anderson Norton , bioProfessor Norton conducts research in mathematics education, building psychological models of students' mathematics and their mathematical development.
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Daniel Orr , bioDaniel Orr conducts research in representation theory and algebraic combinatorics.
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Eyvindur Ari Palsson , bioAssociate Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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Michael A. Robert , bioProfessor Robert builds and analyzes mathematical models to study biological phenomena. He is particularly interested in developing and exploring models to better understand how ecological, meteorological, anthropogenic, and evolutionary processes impact the emergence, spread, and control of infectious diseases.
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Johann Rudi , bioProfessor Johann Rudi's research is interdisciplinary and spans large-scale parallel iterative methods for nonlinear and linear systems, development and implementation of algorithms for high-performance computing (HPC) platforms, computational aspects of inverse problems, and quantification of uncertainties in the inferred parameters.
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Omar Saucedo , bioAssistant Professor Saucedo's research is Mathematical Biology with an emphasis on modeling infectious diseases.
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Bio ItemMark Shimozono , bio
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.
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Shu-Ming Sun , bioProfessor 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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Wenbo Sun , bioAssistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
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Bio ItemPeter 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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Tim Warburton , bioProfessor 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 , bioDr. Watson's research interests include numerical analysis; nonlinear programming; mathematical software; solid mechanics; fluid mechanics; image processing; parallel computation; bioinformatics.
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Megan Wawro , bioProfessor 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 , bioAssistant professor Yang conducts research in ergodic theory and dynamical systems.
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Pengtao Yue , bioProfessor 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 , bioProfessor 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.
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Joseph Antonides , bioDr. Antonides' research focuses on understanding students' mathematical reasoning and learning, with a particular interest in the domain of combinatorics.
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Giuseppe Cotardo , bioDoctor Cotardo's research interest is in algebraic coding theory, with a focus on algebra, geometry, combinatorics, and their applications to the invariant theory of codes endowed with the rank metric.
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Bio ItemMichael D. Hicks , bio
Dr. Hicks conducts research in the field of mathematics education. His specific interests include (1) investigating student's thinking about advanced mathematics, and (2) the distribution of authority in mathematics classrooms.
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Petar Mlinarić , bioDr. Mlinarić conducts research in the field of model order reduction, in particular, structure-preserving and optimal methods.
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Michal Outrata , bioDr. Outrata's research interests include numerical analysis, numerical PDEs and numerical linear algebra with particular focus on Krylow methods, domain decomposition methods and related topics.
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George Psaromiligkos , bioProfessor Psaromiligkos conducts research on Harmonic Analysis with primary interest on the boundedness of various multi-parameter discrete and continuous operators. He is also interested in Geometric Measure Theory and its intersection with Harmonic Analysis.
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Welington Santos , bioProfessor Santos' research is in algebra and coding theory.
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Weihong Xu , bioDr. Xu studies combinatorial algebraic geometry, especially quantum Schubert calculus and questions concerning generalized flag varieties.
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Fangchi Yan , bioDr. Yan studies partial differential equations (PDEs) that are motivated from the modeling of physical phenomena and real-world problems in general. His research focuses on the problem of well-posedness for nonlinear dispersive equations, including the Korteweg-de Vries (KdV) equation and the nonlinear Schrödinger (NLS) equation.
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Rachel Arnold , bioDr. 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 , bioVisiting Assistant Professor Biswas works in number theory.
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Brian Cook , bioVisiting Assistant Professor Cook's research focuses on arithmetic harmonic analysis, extremal combinatorics & additive/analytic number Theory.
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Artem Hulko , bioDr. Hulko conducts research in mathematical analysis, particularly in the area of non-self-adjoint operators on Hilbert spaces. He is also interested in Game Theory.
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Vladislav Kokushkin , bioDr. Kokushkin 's research focuses on understanding some of the cognitive challenges experienced by undergraduate students.
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Palanivel Manoharan , bioResearch interest in Geometry of Manifolds and geometry of quantum states.
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Sanja Pantic , bioProfessor Pantic has done research in nonlinear partial differential equations and numerical simulations of wave propagation.
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Michael T. Schultz , bioDr. Schultz conducts research in the intersection of algebraic geometry and mathematical physics.
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Rebecca M. Steiner , bioDr. 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 , bioDr. 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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Eric Ufferman , bioCollegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.
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Jason R. Wilson , bioCollegiate 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.
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Joseph Ball , bioProfessor Ball conducts research in Hilbert-space operator theory and operator algebras, exploring connections with multivariable function theory and engineering systems theory.
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Ezra (Bud) Brown , bioBud 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 , bioProfessor 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 , bioProfessor Floyd conducts research in geometric group theory, complex dynamics, and discrete conformal geometry.
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George Hagedorn , bioProfessor Hagedorn works in mathematical physics. He specializes in molecular quantum dynamics.
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Bio ItemJong 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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Bio ItemMartin 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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Peter A. Linnell , bioProfessor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.
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Michael Renardy , bioProfessor Renardy's research is in partial differential equations and applications to fluid mechanics, in particular viscoelastic flows.
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Bio ItemYuriko 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.
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Bob Rogers , bioProfessor Rogers studies continuum mechanics and nonconvex problems in partial differential equations. He also studies models of acoustics.
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John Rossi , bioProfessor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.