Rate My Professor Raphael Rouquier

Rouquier's research specializes in representation theory, utilizing algebraic geometry—particularly equivalences of derived categories—to tackle problems in the representation theory of groups and algebras. Key areas of impact include block theory of finite groups, complex reflection groups, braid groups, rational Cherednik algebras, Kac-Moody algebras, q-Schur algebras, Deligne-Lusztig varieties, and the initiation of higher representation theory through categorification and 2-representations of structures like sl2. His influential publications encompass "Derived equivalences for symmetric groups and sl2-categorification" (Annals of Mathematics, 2008, with J. Chuang), "Dimensions of triangulated categories" (Journal of K-theory, 2008), "On the category O for rational Cherednik algebras" (Inventiones Mathematicae, 2003, with V. Ginzburg, N. Guay, E. Opdam), and "Picard groups for derived module categories" (Journal of the London Mathematical Society, 2003, with A. Zimmermann). He presented at the International Congress of Mathematicians in Madrid in 2006. Rouquier has received the Collège de France Peccot Prize (2000), London Mathematical Society Whitehead Prize (2006), University of Cambridge Adams Prize (2009), French Academy of Sciences Élie Cartan Prize (2009), Royal Society Wolfson Research Award (2011), and Simons Investigatorship (2015).