Page 62 - 8th European Congress of Mathematics. 20-26 June 2021. Presentation of Plenary, Invited, Public, Abel and Prize Speakers at the 8ECM.
P. 62
European Congress of Mathematics

Martin Hairer

Imperial College, London
Hirzebruch Lecture

Professor Sir Martin Hairer KBE FRS is a professor of
Pure Mathematics and Chair in Probability and Stochastic Analysis in the
Department of Mathematics, Imperial College, London. His main area of
research is the study of stochastic partial differential equations
(SPDEs); other research interests include nonequilibrium statistical
mechanics, stochastic differential equations, stochastic processes with
memory, and the general theory of Markov processes.
The work that led to his Fields medal concerns the mathematical
understanding of nonlinear partial differential equations (PDEs), and in
particular, his “breakthrough approach” to resolving the nonlinear KPZ
equation proposed by physicists Kardar, Parisi and Zhang in 1986. This,
and Prof. Hairer’s subsequent work, develops a general theory of regularity
structures that can be applied to a broad class of nonlinear stochastic
PDEs, and goes a long way towards removing an obstacle in understanding
nonlinear stochastic PDEs. Furthermore, the class of equations to
which the theory applies contains several that are of central interest in
mathematics and science and potentially opens the way to understanding
the phenomenon of universality. His citation for the 2014 Fields medal
award notes “his outstanding contributions to the theory of stochastic
partial differential equations, and in particular … the creation of a theory of
regularity structures for such equations.”
Prof. Hairer’s work in SPDEs has also been recognised with the award of
the Institut de Mathématiques de Toulouse’s Fermat Prize (2013) and the
London Mathematical Society’s Fröhlich prize (2014) “for his work on the

58
   57   58   59   60   61   62   63   64   65   66   67