Research in analysis includes real, complex, and functional analysis. Specific research programs carried out by faculty members in our department include harmonic analysis and applications of analysis to fluid dynamics and mathematical physics.
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 ItemMartin Fraas , bio
Assistant professor Martin Fraas works in mathematical physics, studying mathematical structures of quantum mechanics. His research interests include topological phases of matter, open quantum systems, and the adiabatic theory.
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 ItemJong Uhn Kim , bio
Professor Kim's research has been in analysis of partial differential equations which arise in fluid mechanics and elasticity.
Bio ItemPeter A. Linnell , bio
Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.
Bio ItemEyvindur Ari Palsson , bio
Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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 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.
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.
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.
Bio ItemTeffera M. Asfaw , bio
Dr. Teffera Asfaw conducts research in nonlinear analysis. The main research areas are degree and variational inequality theories and applications. The goal of the research is to derive existence theorems for inclusion and inequality problems and their applications to operator equations and inequalities in appropriate function spaces.