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Fellows Directory

Martin Hairer

Professor Martin Hairer FRS


Elected: 2014





Martin Hairer has invigorated and advanced the field of stochastic partial differential equations (SPDEs) by providing a toolkit for addressing these previously thought inaccessible problems. Martin’s work is also furthering the more general areas of stochastic analysis — a part of mathematics concerned with random processes — and stochastic dynamics.

His breakthrough approach to the nonlinear Kardar-Parisi-Zhang SPDE allowed him to mathematically resolve the meaning of this equation and its solutions. Subsequently, he used his ideas to create the theory of regularity structures, which provides a way to tackle a broader class of SPDEs.

Martin has been awarded a number of major prizes for his contributions to the understanding of SPDEs, including the 2013 Fermat Prize and the 2014 Fields Medal — the most prestigious prize in mathematics. Beyond mathematics, Martin is also the developer of a popular audio editing software programme for the Mac.

Professional positions

Chair in Probability and Stochastic Analysis, Department of Mathematics, Imperial College London
Member of the scientific steering committee, ETH Zurich
Member of the scientific steering committee, Institut Henri Poincaré
Member of the scientific steering committee, Mathematisches Forschungsinstitut Oberwolfach

Interests and expertise

Subject groups


Nonlinear dynamics, Partial differential equations, Probability theory, Stochastic processes


  • Fields Medal

    For his outstanding contributions to the theory of stochastic partial differential equations, and in particular for the creation of a theory of regularity structures for such equations.