Curricula Vitae in Mathematics

Name	Personal Focus	Summary
Ayah Almousa Research Assistant Professor
Dr. George Androulakis Professor	Quantum Information, Mathematical Physics, Functional Analysis	My research interests include quantum information, with emphasis on quantum communications, and quantum Shannon theory. In the past I have also worked on Mathematical Physics, (quantum probability theory and quantum Markov semigroups), and on Functional Analysis, (geometry of Banach spaces and spaces of operators)..
Dr. Matthew Ballard Professor	Algebra, Geometry, Number Theory	I am an associate professor in the Department of Mathematics at the University of South Carolina. I study algebraic geometry and am particularly interested in questions arising from Homological Mirror Symmetry. Much of my current work focuses on derived categories and their relation to more classical questions.
Brandy Amanda Barnette Senior Instructor		Brandy Barnette is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Professor Peter Binev Professor	Applied Mathematics, Electron Microscopy, Mathematics	Peter Binev is a Professor in Mathematics and received his Ph. D. degree from University of Sofia, Bulgaria with a dissertation in spline approximation. Dr. Binev joined the Industrial Mathematics Institute at the University of South Carolina in 2000. His main research interests are in the areas of Nonlinear Approximation Theory, Numerical Methods for PDEs, Surface and Image Processing, Learning Theory, and Multiresolution Analysis.
Dr. Matthew Boylan Professor	Number theory	I study modular forms and their applications to problems relating to algebraic number theory, elliptic curves, L-functions, partitions, and other topics in number theory.
Mr. John Vetter Burkardt Research Associate		John Burkardt is a Research Associate in the Department of Mathematics, College of Arts and Sciences.
Mitchel Colebank Assistant Professor	Cardiovascular modeling and simulation, Inverse problems and parameter estimation, Uncertainty quantification	I am a computational scientist at the intersection of biomedical engineering, computational mathematics, applied statistics, and cardiovascular physiology. I use mechanistic modeling to understand cardiovascular function, and use uncertainty quantification and inverse problems to make robust, patience specific models under uncertainty.
Dr. Joshua N Cooper Professor	Combinatorics, Big Data Analytics, Number Theory	Dr. Cooper works in discrete mathematics, having studied topics in probabilistic combinatorics, graph theory, discrete geometry, combinatorial number theory, spectral (hyper)graph theory, discrepancy, universal cycles, permutations, coding theory, quantitative information theory, and extremal combinatorics. He has a substantial background in network science ("real world graphs") computational linguistics (esp. compositional semantics), complexity theory, and computational sentiment analysis.
Professor Eva Czabarka Professor	Extremal set theory, Graph theory, Biological applications	Eva Czabarka is a Professor in the Department of Mathematics, College of Arts and Sciences.
Dr. Wolfgang Dahmen, PhD Research Professor	Applied and Numerical Analysis, Approximation Theory, Mathematical Learning Theory
Steven Derochers Senior Instructor		Steven Derochers is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Geoffrey Robert Dillon Senior Instructor		Geoffrey Dillon is a Mathematics instructor.
Dr. Alexander Rhys Duncan Associate Professor	Birational geometry, Rational surfaces, Toric varieties	I am an algebraic geometer who uses geometric techniques to study problems in number theory and algebra. I have interests in birational geometry, rational surfaces, toric varieties, Galois cohomology, and essential dimension.
Maria K. Girardi Professor	Mathematics	Dr. Girardi is a Professor for the Department of Mathematics at the University of South Carolina.
Robert Groth Instructor
Siming He Assistant Professor		Siming He is an Assistant Professor in the Department of Mathematics, College of Arts and Sciences.
Larita Hipp Senior Instructor		LaRita Hipp is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Ralph E. Howard Professor	Differential and integral geometry with excursions into analysis, Convexity, Mathematical Relativity	Ralph Howard is a Professor in the Department of Mathematics, College of Arts and Sciences.
Dr. Lili Ju Professor	Numerical Algorithms and Analysis, Computational Geoscience, Deep Learning and Applications	Mr. Ju's research interests include: numerical algorithms and analysis, computational geoscience, imaging and computer vision deep learning and applications, high performance computing
Dr. Andrew Richard Kustin Professor	Commutative Algebra, Algebraic Geometry	Research interests include: the study of Cohen-Macaulay and Gorenstein algebras, finite free resolutions, linkage, deformation theory, and differential graded commutative algebras.
Wuchen Li Assistant Professor	Transport information geometry, Data science and AI	Wuchen Li is an Assistant Professor in the Department of Mathematics, College of Arts and Sciences.
Dr. Xinfeng Liu Professor	Computational Systems Biology, Scientific Computing, Computational Fluid Dynamics	His research interests include: Mathematical Modeling of Cancer Stem Cells, mechanisms of Specifity and Fidelity in Signal Transduction, regulation of Spatially Localized Scaffold Proteins in MAPK Cascades, morphogen Gradient Formation in Developmental Biology, computational Analysis of Rayleigh-Taylor Instability, and numerical Studies of Richtmyer-Meshkov Instability.
Dr. Linyuan Lu Department Chair/Professor		Dr. Lu's research lies the following areas: large information networks, sparse random graphs, spectral graph theory, probabilistic methods, spectral graph/hypergraph theory, Ramsey type problems, algorithms, and other problems in graph theory.
Ruth Luo Assistant Professor		Ruth Luo is an Assistant Professor in the Department of Mathematics, College of Arts and Sciences.
William McGuffey Instructor		William McGuffey is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Megan McKay Instructor		Megan McKay is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Christopher (Chris) Portwood Instructor		Chris Portwood is an Instructor in the Department of Mathematics, College of Arts and Sciences.
Ronda M. Sanders Senior Instructor		Ronda Sanders is a Senior Instructor in the Department of Mathematics, College of Arts and Sciences.
Daniel Savu Senior Instructor		Daniel Savu is a Mathematics instructor.
Gabriel Staton Instructor
Dr. Yi Sun Professor	Multiscale analysis, modeling and simulation in solids, fluid mechanics, chemistry and biology., Mathematical modeling and computation of biomaterials, complex biofluids, and cellular dynamics., Mathematical and computational neuroscience: dynamical system and chaos in neuronal networks.	Applied and Computational Mathematics
Dr. Laszlo A. Szekely Professor	Combinatorial Geometry, Graph Drawing, Network Science, Phylogeny Reconstruction	My primary research areas are combinatorics and graph theory, and their applications to geometry, computer science and biology.
Changhui Tan Associate Professor		Dr. Tan received his Ph.D. in the Department of Mathematics at University of Maryland, College Park, in 2014. His advisor was Professor Eitan Tadmor. Before moving to South Carolina, he was a Lovett instructor of Mathematics in the Department of Mathematics at Rice University. His mentor was Professor Alexander Kiselev. Dr. Tan is a member of the DASIV center (Data Analysis, Simulation, Imaging, and Visualization).
Frank H. Thorne Professor	Number Theory, Distribution of Primes and Broadly related questions	One of my particular interests is the distribution of number fields, class group torsion, and related topics. I am especially interested in these from an analytic point of view involving Shintani zeta functions associated to prehomogeneous vector spaces. I am also interested in other perspectives on these questions: class field theory and Kummer theory; the Scholz reflection principle; algebro-geometric perspectives on these topics; and other related perspectives.
Professor Ognian Trifonov Associate Professor	Number Theory, Numerical Partial Differential Equations	Analytic Number Theory and Approximation Theory with particular interests in the use of finite differences to determine information about lattice points close to a curve or surface. Interests also include the application of these results to gap problems in Number Theory.
Wei-Lun Tsai Assistant Professor	Mathematics, Mathematics, Mathematics	I conduct research in algebraic and analytic number theory, arithmetic geometry, and combinatorics. I am especially interested in automorphic and modular forms, arithmetic statistics, elliptic curves, L-functions, number fields, and partitions in representation theory. I use high-performance computing from time to time in my research. At UVa I am a frequent user of RIVANNA (UVA High-Performance Computing).
Dr. Paula Andrea Vasquez Associate Professor	Applied and computational mathematics	One of my current projects is inverse characterization of complex fluids. In this project, we are developing computer simulations and constitutive models to describe the flow of mucus in cell cultures. This description involves the introduction of multiple time and length scales, as well as the use of constitutive equations that consider multiple species. This project is in collaboration with Greg Forest in the Math Department at UNC and David Hill in the Cystic Fibrosis Research Center at UNC.
Dr. Adela Vraciu Professor	Tight Closure and Related Operations, Linkage and Linkage-Related Properties, Homological Properties of Ideals and Modules Over Commutatuve Noetherian Rings	My main research area is commutative algebra, and I am particularly interested in characteristic p methods, such as tight closure
Dr. Hong Wang, PhD Professor	Numerical approximation and analysis to differential/integral equations, scientific computations, mathematical modeling and applications	Hong Wang is a Professor in the Department of Mathematics, College of Arts and Sciences.
Professor Qi Wang Professor	Applied,computational mathematics, Modeling, computational of active matter systems and cell dynamics, High performance computing	Research interests include applied and computational mathematics, computational fluid dynamics and rheology of complex fluids, continuum mechanics and kinetic theory, multiscale modeling and computation of soft matter and complex fluids of anisotropic, microstructures Multiscale modeling and computation of biofluids and biomaterials, and high performance computing
Dr. Zhu Wang Professor		I am a professor in the Department of Mathematics at University of South Carolina. I was an industrial postdoc of the IMA at University of Minnesota, Twin Cities in 2012-2014. I graduated from the Department of Mathematics at Virginia Tech in Spring, 2012.
Professor Xiaofeng Yang Professor	computational and applied mathematics, modeling and scientific comptuing, algorithm development	Current projects are about Multiphase Complex fluids: (1) Energy stable schemes for multiphase complex fluids on the phase field model; (2) Parallel spectral codes development; (3) Adaptive moving mesh method on the spectral method; (4) Numerical simulations, cell Fusion, and cell Oscillation.
Dr. Sean P Yee Associate Professor	Mathematical problem solving, Mathematics teacher education, Conceptual metaphor theory	Dr. Sean Yee joined the Instruction and Teacher Education faculty at the University of South Carolina in August of 2014. At USC he teaches mathematics and mathematics education classes for secondary and collegiate mathematics. He has a joint position between both the Department of Instruction and Teacher Education within the College of Education and the Department of Mathematics within the College of Arts and Sciences.
Haonan Zhang Assistant Professor		Haonan Zhang is an Assistant Professor in the Department of Mathematics, College of Arts and Sciences.