Analysis
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
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Martin Fraas
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.
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Peter Haskell
Professor Haskell conducts research in index theory, which is the study of the connections between analysis and topological or geometric structures.
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Jong Uhn Kim
Professor Kim's research has been in analysis of partial differential equations which arise in fluid mechanics and elasticity.
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Peter A. Linnell
Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.
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Eyvindur Ari Palsson
Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.
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Bob Rogers
Professor Rogers studies continuum mechanics and nonconvex problems in partial differential equations. He also studies models of acoustics.
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John Rossi
Professor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.
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Shu-Ming Sun
Professor 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
Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.
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Yun Yang
Assistant professor Yang conducts research in ergodic theory and dynamical systems.
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Researchers in Analysis
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Josh Clemons
Dr. Clemons does research in the overlapping ares of complex dynamical systems, ergodic theory, and topology. In addition to teaching a wide variety of traditional courses in differential equations and combinatorics. He is an Academic Manager at the Math Emporium.
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Numann Malik
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.
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Teffera M. Asfaw
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.
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