Faculty
Teaching & Research Faculty

Bio ItemNicole 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.

Bio ItemSlimane Adjerid , bio
Professor Adjerid conducts research on developing new discontinuous finite element methods for solving partial differential equations.

Bio ItemChristopher 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.

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

Bio ItemJohn 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.

Bio ItemPaul Cazeaux , bio
Professor Cazeaux's research deals with multiscale phenomena in mathematical physics and biology, with recent applications in quantum chemistry and condensed matter physics (2D materials).

Bio ItemLauren M. Childs , bio
Professor Childs develops and analyzes mathematical and computational models to examine biologicallymotivated questions.

Bio ItemStanca 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.

Bio ItemEric de Sturler , bio
Professor de Sturler's research focuses on numerical analysis for largescale 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.

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

Bio ItemMark Embree , bio
CMDA 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.

Bio ItemSerkan Gugercin , bio
Professor Gugercin studies computational mathematics, numerical analysis, and systems and control theory with a focus on datadriven modeling and model reduction of largescale dynamical systems with applications to inverse problems, structural dynamics, material design, and flow control.

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

Bio ItemTraian 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.

Bio ItemEstrella 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.

Bio ItemJason LeGrow , bio
Professor LeGrow's research is in the design, analysis, and optimization of isogenybased cryptographic protocols.

Bio ItemTao 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.

Bio ItemHonghu Liu , bio
Professor Liu's research focuses on the design of effective lowdimensional 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.

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

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

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

Bio ItemAgnieszka Miedlar , bio
Professor Miedlar conducts research in numerical analysis and scientific computing, with a focus on iterative solvers for largescale linear systems and eigenvalue problems, and adaptive finite element methods (AFEMs).

Bio ItemLeonardo 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.

Bio ItemTravis Morrison , bio
Professor Morrison's research is in algorithmic number theory and applications to cryptography.

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

Bio ItemDaniel Orr , bio
Daniel Orr conducts research in representation theory and algebraic combinatorics.

Bio ItemEyvindur Ari Palsson , bio
Associate Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.

Bio ItemMichael A. Robert , bio
Professor 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.

Bio ItemJohann Rudi , bio
Professor Johann Rudi's research is interdisciplinary and spans largescale parallel iterative methods for nonlinear and linear systems, development and implementation of algorithms for highperformance computing (HPC) platforms, computational aspects of inverse problems, and quantification of uncertainties in the inferred parameters.

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

Bio ItemMark Shimozono , bio
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.

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

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

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.

Bio ItemTim 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.

Bio ItemLayne T. Watson , bio
Dr. Watson's research interests include numerical analysis; nonlinear programming; mathematical software; solid mechanics; fluid mechanics; image processing; parallel computation; bioinformatics.

Bio ItemMegan Wawro , bio
Professor Wawro's research involves investigating students' reasoning about linear algebra in quantum mechanics and the development of inquiryoriented instructional materials for linear algebra.

Bio ItemYun Yang , bio
Assistant professor Yang conducts research in ergodic theory and dynamical systems.

Bio ItemPengtao 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.

Bio ItemLizette 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.

Bio ItemJoseph Antonides , bio
Dr. Antonides' research focuses on understanding students' mathematical reasoning and learning, with a particular interest in the domain of combinatorics.

Bio ItemGiuseppe Cotardo , bio
Doctor 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.

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.

Bio ItemPetar Mlinarić , bio
Dr. Mlinarić conducts research in the field of model order reduction, in particular, structurepreserving and optimal methods.

Bio ItemMichal Outrata , bio
Dr. 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.

Bio ItemGeorge Psaromiligkos , bio
Professor Psaromiligkos conducts research on Harmonic Analysis with primary interest on the boundedness of various multiparameter discrete and continuous operators. He is also interested in Geometric Measure Theory and its intersection with Harmonic Analysis.

Bio ItemWelington Santos , bio
Professor Santos' research is in algebra and coding theory.

Bio ItemWeihong Xu , bio
Dr. Xu studies combinatorial algebraic geometry, especially quantum Schubert calculus and questions concerning generalized flag varieties.

Bio ItemFangchi Yan , bio
Dr. Yan studies partial differential equations (PDEs) that are motivated from the modeling of physical phenomena and realworld problems in general. His research focuses on the problem of wellposedness for nonlinear dispersive equations, including the Kortewegde Vries (KdV) equation and the nonlinear Schrödinger (NLS) equation.

Bio ItemRachel Arnold , bio
Dr. Arnold conducts research on mathematical teaching and learning in upperlevel mathematics courses, such as Introduction to Proofs and Advanced Calculus.

Bio ItemArunabha Biswas , bio
Visiting Assistant Professor Biswas works in number theory.

Bio ItemBrian Cook , bio
Visiting Assistant Professor Cook's research focuses on arithmetic harmonic analysis, extremal combinatorics & additive/analytic number Theory.

Bio ItemArtem Hulko , bio
Dr. Hulko conducts research in mathematical analysis, particularly in the area of nonselfadjoint operators on Hilbert spaces. He is also interested in Game Theory.

Bio ItemVladislav Kokushkin , bio
Dr. Kokushkin 's research focuses on understanding some of the cognitive challenges experienced by undergraduate students.

Bio ItemPalanivel Manoharan , bio
Research interest in Geometry of Manifolds and geometry of quantum states.

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

Bio ItemMichael T. Schultz , bio
Dr. Schultz conducts research in the intersection of algebraic geometry and mathematical physics.

Bio ItemRebecca 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.

Bio ItemTurker 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.

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

Bio ItemJason 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.

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Bio ItemJoseph Ball , bio
Professor Ball conducts research in Hilbertspace operator theory and operator algebras, exploring connections with multivariable function theory and engineering systems theory.

Bio ItemEzra (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.

Bio ItemMartin 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.

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

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Bio ItemGeorge Hagedorn , bio
Professor Hagedorn works in mathematical physics. He specializes in molecular quantum dynamics.

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

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.

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

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

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

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

Bio ItemJohn Rossi , bio
Professor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.