Sylvain Carpentier will be joining the Department of Mathematics at Columbia. He completed his Ph.D. at the Massachusetts Institute of Technology, where he worked with Victor Kac. Sylvain received his M.A. in mathematics from the Université Paris-Sud and was a student of École normale supérieure, Paris.
His research focuses on integrable systems of partial differential equations (PDEs). These equations have a large group of symmetries and an infinite set of conservation laws. They appear in various physics domains, such as nonlinear optics or fluid mechanics. In his thesis, he showed how all attributes of integrable systems of PDEs can be constructed from a pair of differential operators.