The Fields Institute Coxeter Lecture Series (CLS) brings a leading
mathematician to the Institute to give a series of three lectures in
the field of the current thematic program.The first talk is an overview
for a general mathematical audience, postdoctoral fellows and graduate
students. The other two talks are chosen, in collaboration with the
organizers of the thematic program, to target specialists in the field.

Sergei Kuksin is a leading mathematician in the field of Hamiltonian
partial differential equations and infinite dimensional dynamical systems.
He has been in the forefront of the study of invariant structures in
the phase space of Hamiltonian PDEs and of their behaviour under perturbation.
This work exploits the infinite dimensional Hamiltonian systems perspective
on evolution PDEs, and involves the development of detailed analytic
techniques and their extensions from the finite dimensional setting
of classical Hamiltonian mechanics. His work includes as well results
on infinite dimensional KAM theory, as well as Nekhoroshev theory and
Arnold diffusion. He has written over 50 influential research papers,
and is the author of a recent monograph Analysis of Hamiltonian PDEs,
published by the Oxford Press.

One of his current interests is the stochastic behaviour of Navier-Stokes
equations, including central questions on the uniqueness of invariant
Gibbs measures on the space of divergence-free vector fields. His mathematical
interests also include plasticity, integrable partial differential equations,
averaging theory, turbulence in nonlinear PDEs, and elliptic equations
for maps valued in compact manifolds.

Professor Kuksin is a fellow of the Royal Society of Edinburgh.

Index of
Fields Distinguished and Coxeter Lectures.