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Analysis and Partial Differential Equations

Analysis is broadly concerned with problems and techniques that involve estimation, approximation and limiting processes. Many specific areas of math fall entirely or largely under the analysis umbrella. These include riemannian geometry, complex analysis, dynamical systems, probability and many aspects of mathematical physics.  Differential equations, which aims to understand functions from relationships among their derivatives, plays a particularly important role in most of these areas and as a subfield of analysis in its own right.

Activities

Regular Faculty

Visiting and Postdoctoral Faculty

  • Bryan Dimler

    Rev. Howard J. Kenna, C.S.C. Research Fellow

    nonlinear PDE, geometric analysis, and geometric measure theory

  • Daniel Perales Anaya

    Postdoctoral Research Associate

    Finite Free Probability

Emeriti Faculty

  • Karsten Grove

    Emeritus - Full

    Differential Geometry and Topology

  • Mei-Chi Shaw

    Emerita - Full

    Complex Analysis and Partial Differential Geometry

  • Brian Smyth

    Emeritus - Full

    Differential Geometry

  • Dennis Snow

    Emeritus - Full

    Complex Analysis, Complex Geometry

  • Nancy Stanton

    Emerita - Full

    Complex Geometry, Several Complex Variables and Partial Differential Equations

  • Frederico Xavier

    Emeritus - Full

    Differential Geometry and Geometric Analysis

Adjunct Faculty

  • Gábor Székelyhidi

    Department of Mathematics, Northwestern University

    Complex and Partial Differential Geometry

Graduate Students

  • Gabriel Cantwell

  • Sourav Ghosh

    Differential Geometry & Partial Differential Equations

  • Jiyoung Lee

  • Shuang Liang

  • Feibai Ren

    Real Analysis / PDE

  • Hugo Sanchez-Lambertt

  • Haoyue Teng