January 7-14, 2018 / Sergei Kuksin / Institut de Mathématiques de Jussieu, Paris
Skills and expertise: mathematical analysis, nonlinear analysis, turbulence, differential equations, partial differential equations, measure theory, perturbation theory
December 12-28, 2017 / Alexey Glutsyuk / École Normale Supérieure de Lyon
Research interests: dynamical systems, analytic theory of ordinary differential equations, holomorphic foliations, complex geometry, transformation groups, billiards
December 10-14, 2017 / Leon Takhtajan / Stony Brook University, Mathematics Department / [ Website ]
Leon Takhtajan is a Russian mathematical physicist of Armenian descent, currently a professor of mathematics at the Stony Brook University, and a leading researcher at the Euler International Mathematical Institute, Saint Petersburg.
His research is on integrable systems of mathematical physics (such as the theory of solitons) and applications of quantum field theories and models of string theory to algebraic geometry and complex analysis and includes quantum field theories on algebraic curves and associated reciprocity laws, two-dimensional quantum gravity and Weil–Petersson geometry of moduli spaces, the Kähler geometry of universal Teichmuller space, and trace formulas. His major contributions are in theory of classical and quantum integrable systems, quantum groups and Weil–Petersson geometry of moduli spaces. Together with Ludvig Faddeev and Evgeny Sklyanin he formulated the algebraic Bethe Ansatz and quantum inverse scattering method. Together with Ludvig Faddeev and Nicolai Reshetikhin he proposed a method of quantization of Lie groups and algebras, the FRT construction (WikipediA).
December 11 – 19, 2017 / Henning Haahr Andersen
Henning Haahr Andersen is a mathematician specializing in Algebraic groups, Lie algebras, Quantum groups and Representation theory. Andersen received his Ph.D. from the Massachusetts Institute of Technology in 1977 under the supervision of Steven Lawrence Kleiman. In 2012, Andersen became a fellow of the American Mathematical Society (WikipediA)
“Fusion categories and fusion rules”
November 8 – 28, 2017 / Mikhail Khovanov / Columbia University, Mathematics Department / [ Website ]
Professor of Mathematics / Knot Theory, Algebraic Topology
Mikhail Khovanov is a Russian-American professor of mathematics at Columbia University. He graduated from Moscow State School 57 mathematical class in 1988. He earned a PhD in mathematics from Yale University in 1997, where he studied under Igor Frenkel. His interests include knot theory and algebraic topology. He is known for the Khovanov homology for links, introduced in his paper “A categorification of the Jones polynomial”, which he published while at UC Davis. This was one of the first examples of categorification and is quoted in knot theory (WikipediA)
“Introduction to knot homology”
“Categorification of the ring of integers with two inverted”