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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

  • Jeffrey Diller

    Professor

    Complex Analysis and Geometry, Dynamical Systems

  • Matthew Gursky

    Professor

    Differential Geometry and Partial Differential Equations

  • Brian C. Hall

    Professor

    Mathematical Physics and Lie Groups

  • Qing Han

    Professor

    Differential Geometry and Partial Differential Equations

  • Richard Hind

    Professor, Department Chair

    Differential Geometry

  • Gerard Misiolek

    Professor

    Global Analysis, Partial Differential Equations

  • Liviu Nicolaescu

    Professor, Director of Undergraduate Honors Math Program

    Topology and Probability

  • Marco Radeschi

    Assistant Professor

    Differential Geometry, Topology and differential/ Riemannian geometry

  • Mei-Chi Shaw

    Professor

    Complex Analysis and Partial Differential Geometry

  • Gábor Székelyhidi

    Notre Dame Professor of Mathematics

    Complex and Partial Differential Geometry

Visiting and Postdoctoral Faculty

Emeriti Faculty

Graduate Students

  • Patrick Heslin

    Geometric Analysis