Analysis is one of the fundamental branches of mathematics, with powerful applications throughout mathematics as well as in the natural sciences and industry. Here at Virginia Tech we have faculty working on various topics within analysis or using the tools of analysis to study applications. Areas covered include dynamical systems, erogdic theory, geometry, harmonic analysis, mathematical physics and partial differential equations.
In the picture above, professor Malabika Pramanik (Univrsity of Brittish Columbia) gives a talk at the Mid-Atlantic Analysis Meeting (2018) hosted by Virginia Tech.
Research Advisors for Analysis
Bio ItemAlex Elgart , bio
Professor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.
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 ItemEyvindur Ari Palsson , bio
Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
Bio ItemWenbo Sun , bio
Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
Bio ItemYun Yang , bio
Assistant professor Yang conducts research in ergodic theory and dynamical systems.
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 ItemBob Rogers , bio
Professor Rogers studies continuum mechanics and nonconvex problems in partial differential equations. He also studies models of acoustics.
Bio ItemShu-Ming Sun , bio
Professor Sun's research interests include the mathematical theory of fluid mechanics, the theory of partial differential equations, and applied nonlinear analysis.
Researchers in Analysis
Bio ItemJosh Clemons , bio
Math 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.
Bio ItemNumann Malik , bio
Dr. 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.
Recently Retired Faculty
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 ItemJong Uhn Kim , bio
Professor Kim's research has been in analysis of partial differential equations which arise in fluid mechanics and elasticity.
Bio ItemMichael Renardy , bio
Professor Renardy's research is in partial differential equations and applications to fluid mechanics, in particular viscoelastic flows.
Bio ItemJohn Rossi , bio
Professor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.