Analysis

The field of mathematical analysis deals with continuous functions and related notions, and originated historically from the study of real and complex numbers, calculus, and differential equations. Our expert faculty advance this field, which has played a crucial role in solving problems in physics and engineering and, in recent years, has seen surprising applications to problems in other mathematical fields, such as the Poincaré Conjecture in topology.

Members

  • Maxim Braverman

    Index theory, determinants of elliptic operators, topological insulators

  • Solomon Jekel

    Differential topology, algebraic topology

  • Robert Pluta

    Functional analysis and operator algebras

  • Peter Topalov

    Global analysis, Hamiltonian PDEs, integrable systems, Riemannian geometry

  • Zhiyuan Zhang

    Partial differential equations

  • Xuwen Zhu

    Geometric analysis, partial differential equations

Related Seminars

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