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Analysis

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.

picture for analysis research group

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

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    Alex Elgart profile picture
    Alex Elgart , bio

    Professor Elgart primary research area is mathematical physics. The mathematical tools he uses mostly come from analysis and probability.

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    Peter Haskell profile picture
    Peter Haskell , bio

    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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    Eyvindur Paisson profile picture
    Eyvindur Ari Palsson , bio

    Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.

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    Went Sun profile picture
    Wenbo Sun , bio

    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 profile picture
    Yun Yang , bio

    Assistant professor Yang conducts research in ergodic theory and dynamical systems.

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    Martin 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.

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    Peter Linell profile picture
    Peter A. Linnell , bio

    Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.

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    Robert Rogers profile picture
    Bob Rogers , bio

    Professor Rogers studies continuum mechanics and nonconvex problems in partial differential equations. He also studies models of acoustics.

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    Sho-Ming Sun profile picture
    Shu-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

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    Josh Clemons profile picture
    Josh 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.

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    Numann Malik profile picture
    Numann 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

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    Martin Day profile picture
    Martin 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.

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    Jong Uhn Kim , bio

    Professor Kim's research has been in analysis of partial differential equations which arise in fluid mechanics and elasticity.

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    Michael Renardy profile picture
    Michael Renardy , bio

    Professor Renardy's research is in partial differential equations and applications to fluid mechanics, in particular viscoelastic flows.

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    John Rossi profile picture
    John Rossi , bio

    Professor Rossi conducts research in complex function theory with specialties in value distribution theory and potential theory.