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. 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 , 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. 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 , 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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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 , bioProfessor 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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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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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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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 , bioAssistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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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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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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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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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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Palanivel Manoharan , bioResearch interest in Geometry of Manifolds and geometry of quantum states.
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Aidan W. Murphy , bioProfessor Murphy's research interest is in the theory of error-correcting codes, with particular focus on algebraic geometry codes and locally recoverable codes.
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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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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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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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Diane Agud , bioSenior Instructor teaches undergraduate math courses and is a Math Advisor. She is Chair of the K-12 Outreach Committee.
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Sarah Barreto , bioDr. Barreto is an instructor who teaches undergraduate mathematics courses. She also serves as an advisor to math majors in the ADM option.
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Bio ItemJohn Taylor Burleson , bio
Instructor Burleson is currently engaged with teaching with an interest in computational fluid dynamics.
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Diego Calle , bioProfessor Calle conducts research in the structure of closed algebraic ideals in the algebra L(X) where X is a Banach space.
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Graciela Cerezo , bioDr Cerezo Menegay teaches undergraduate math, mainly Calculus and Differential Equations.
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Josh Clemons , bioMath Emporium Academic Manager. Dr. Clemons does research in the overlapping ares of complex dynamical systems, ergodic theory, and topology and teaches a wide variety of traditional courses in differential equations and combinatorics.
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Fariha Elsrrawi , bioDr. Elsrrawi's research interest is in partial differential equations, focused on nonlinear equations.
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Bio ItemJerri England , bio
Instructor England teaches Math 1524, Business Calculus, in the Math Emporium.
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Garrett Fowler , bioGarrett Fowler's mathematical interests lay largely in combinatorics and algebra. His primary focus since graduating is teaching, but his previous research focused on Schubert Calculus.
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Bio ItemNate Gildersleeve , bio
Instructor Gildersleeve teaches 1000-2000 level math classes. At the Math Emporium he teaches Math 1536, Geometry and the Mathematics of Design.
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Jessica Hurdus , bioJessica 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.
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Ted Juste , bioDr. Juste's research interests are in applied functional analysis, frame theory, phase retrieval, and applied harmonic analysis.
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Kelli Karcher , bioInstructor Karcher conducts research in orderable group theory, studying the cardinality of a variety of solvable groups.
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Bio ItemDaniel Kim , bio
Dr. Kim's research work has been in topological dynamics and discrete conformal geometry understanding Thurston maps, core entropy, and, briefly, hyperbolic expansion complexes.
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Clayton Lungstrum , bioDr. Lungstrum's research in mathematics focuses on various methods allowing one to obtain quantitative estimates regarding the location of the non-trivial zeros of Riemann's zeta functions.
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Numann Malik , bioDr. 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.
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Ba Nguyen , bioDr. Ba Nguyen conducts research in Cluster Algebra and Representation Theory, especially the connections between them.
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Sarma Pidaparthi , bioDr. Pidaparthi's research areas are in numerical analysis, mathematical modeling and finite element simulations.
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Bio ItemErika Rappold , bio
Instructor Rappold teaches 1000-2000 level undergraduate mathematics courses and is working on her Ph.D.
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Bio ItemAndrea Carracedo Rodriguez , bio
Dr Carracedo Rodriguez conducts research in numerical analysis, with a focus on efficiently building approximations to dynamical systems from data or via model reduction.
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Jessica Schmale , bioSenior 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.
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Bio ItemAlison Sibol , bio
Math Emporium Staff Supervisor
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Steven Silber , bioMr. Silber conducts research in mathematics education, examining students' engagement and reasoning in novel mathematical tasks.
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Jessica Thompson , bioInstructor Thompson teaches introductory courses including courses at the Math Emporium.
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Marcie Tiraphatna , bioMs. Tiraphatna currently teaches undergraduate math courses. She also serves as a faculty advisor for the Association for Women in Mathematics (VT Chapter).
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Julia Truman , bioDr. 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.
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Madhavi Vishnubhotla , bioDr. Madhavi Vishnubhotla conducts research in mathematics education with a focus on in-service and pre-service mathematics teachers’ meanings for mathematical ideas and pedagogical practices of mathematics instructors.
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Joseph Wells , bioDr. 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.
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Sohei Yasuda , bioInstructor Yasuda teaches undergraduate mathematics courses and works as a course coordinator of MATH 2204.
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Kyle Zachrich , bioInstructor Zachrich has research interests in data visualization and educational animations.
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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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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.