Partial Differential Equations

Partial differential equations is a many-faceted subject.  Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations.  Examples are the vibrations of solids, the flow of fluids, the diffusion of chemicals, the spread of heat, the interactions of photons and electrons, the radiation of electromagnetic waves. Today, partial differential equations have developed into a vast subject that interacts with many other branches of mathematics, such as complex analysis, differential geometry, harmonic analysis, probability, mathematical physics, and mathematical finance and economics.


Regular Faculty

  • Matthew Gursky


    Differential Geometry and Partial Differential Equations

  • Qing Han


    Differential Geometry and Partial Differential Equations

  • Alex Himonas


    Partial Differential Equations

  • Gerard Misiolek


    Analysis and Geometry

  • Liviu Nicolaescu

    Professor, Director of Undergraduate Honors Math Program

    Topology and Probability

  • Marianna Russkikh

    Assistant Professor

    Complex analysis, probability theory and mathematical physics

  • Mei-Chi Shaw


    Complex Analysis and Partial Differential Geometry

  • Jiahong Wu


    Fluid Mechanics and Partial Differential Equations

Visiting and Postdoctoral Faculty

  • Han Lu

    Kenna Visiting Assistant Professor

    Partial Differential Equations, Differential Geometry

  • Kai-Wei Zhao

    Kenna Visiting Assistant Professor

    Differential geometry, partial differential equations, general relativity, geometric measure theory, and geometric flows.

Emeriti Faculty

Graduate Students

  • Carlos Madrid Padilla

  • Ilya Marchenko

    PDEs / Differential Geometry