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 ItemDaniel Appelö , bio
Professor Daniel Appelö is a numerical analyst with an interest in computational techniques for solving differential equations fast and accurately. He is excited about applications in acoustics, electromagnetics, fluids, and more recently in quantum computing.

Bio ItemSarah Arpin , bio
Dr. Arpin's research is in algebraic number theory and postquantum cryptography, including the study of supersingular elliptic curves, isogenybased cryptography, arithmetic geometry in characteristic p, and codebased cryptography.

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 ItemGuher Camliyurt , bio
Dr. Camliyurt's research interests include mathematical fluid dynamics, nonlinear waves, and unique continuation problems for general elliptic and parabolic PDEs.

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 ItemYingda Cheng , bio
Professor Cheng's research areas are in scientific computing, applied mathematics and datadriven modeling and computation. She develops numerical methods for partial differential equations, particularly those in higher dimensional space. The application area of Professor Cheng's research includes fusion energy and semiconductor device modeling, to name a few.

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 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 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 ItemAndreas Deuchert , bio
My main research interests are mathematical quantum mechanics and quantum statistical mechanics. In my work, I develop analytic, functional analytic, and probabilistic methods with a focus on variational techniques to study mathematical problems originating from solidstate physics.

Bio ItemDaniel Douglas , bio
Dr. Douglas works in the mathematical field of quantum topology. He is particularly interested in interactions with low dimensional geometry and topology, representation theory, combinatorics, and mathematical physics.

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.

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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 ItemLeo Herr , bio
My work is in algebraic geometry. I study varieties using extra combinatorial data called logarithmic structures which enrich and compactify ordinary varieties as a middleman between schemes and tropical geometry. Log structures help to count curves, study intersections, and construct cohomology theories and invariants that behave well for singular varieties and normal crossings pairs.

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 ItemHiram López Valdez , bio
Professor López researches connections of commutative algebra with coding theory and its applications, including quantum error correction, coding for postquantum cryptography, and distributed storage systems.

Bio ItemJosé Ramón Madrid Padilla , bio
Professor Madrid works in harmonic analysis and its connections to related fields such as number theory, combinatorics, ergodic theory and PDE.

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 ItemMirjeta Pasha , bio
Dr. Pasha is an Assistant Professor with research interests on high dimensional (tensor) data analysis, regularization for inverse problems, uncertainty quantification, and highperformance computing. She develops computationally efficient methods and algorithms to solve largescale problems that arise from an extensive list of applications in data science, medicine, and engineering.

Bio ItemSarah Reznikoff , bio
Professor Reznikoff is Department Chair and Professor. Her research in analysis currently focuses on groupoid representations of C*algebras.

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 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 ItemSteffen Werner , bio
Professor Werner conducts research at the intersection of scientific computing and numerical linear algebra with particular focus on scientific machine learning, model order reduction, datadriven modeling, optimization and control of partial differential equations, matrix equations and mathematical software development.

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 domains of combinatorics, geometry, and logic.

Bio ItemSamantha Brooker , bio
I am a Postdoctoral Associate studying operator algebras and noncommutative geometry.

Bio ItemEduardo Camps Moreno , bio
Dr. Camps Moreno is a Presidential Postdoctoral Fellow working with Dr. Gretchen Matthews, with a research focus in algebraic coding theory.

Bio ItemKeoni Castellano , bio
Dr. Castellano is a Postdoctoral Associate who conducts research on the mathematical analysis of infectious disease models.

Bio ItemKyle Dahlin , bio
Dr. Dahlin is an NSF MPS Ascending Postdoctoral Fellow who uses mathematical tools to answer questions in epidemiology and ecology, particularly those related to the transmission and control of mosquitoborne parasites in human and wildlife populations.

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Bio ItemIrit HuqKuruvilla , bio
Dr. HuqKuruvilla is a postdoctoral scholar working on GromovWitten theory and related areas, with a particular focus on quantum Ktheory and its relationship with the geometry of the Kontsevich moduli spaces of stable maps.

Bio ItemLeah LeJeune , bio
Dr. LeJeune's research focuses on modeling the spread and control of infectious disease through analysis of mathematical models, particularly deterministic dynamical systems.

Bio ItemShixu Meng , bio
Dr. Meng’s research interests include computational and analytical methods for solving PDEs and inverse problems, and a major theme is on forward and inverse scattering problems. His most recent interest is on low rank methods and dimension reduction techniques.

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 ItemJorge Reyes , bio
Dr. Reyes' research involves the theoretical and computational study of fluid dynamics primarily based on the NavierStokes equations (NSE). These studies consist of the finite element analysis of numerical solutions for fullorder models and the development of corresponding reduced order models (ROMs).

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Bio ItemPingHsuan Tsai , bio
I am a postdoctoral associate working on developing datadriven reducedorder models for turbulent heat transfer applications. Particularly, focusing on developing stabilization strategies and error indicators for turbulent flows to be used in engineering routine and design analysis. In addition to turbulent flows, plasma physics is another application that I have been working on recently.

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 ItemGazi Mahmud Alam , bio
Dr. Alam's research interests are focused on the development of methods and algorithms for solving control and inverse problems on quantum graphs.

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 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 ItemJohn Pratt , bio
Visiting Assistant Professor' John Pratt's research focuses on nuclear magnetic and nuclear quadrupole resonance in solids.

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

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 ItemTerry Herdman , bio
Dr. Herdman’s research focuses on modeling, analysis, parameter identification and approximations for systems governed by Volterra Integral and Functional Differential Equations.

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.

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.