Ryosuke KODERA

Ryosuke KODERA

Department of Mathematics,
Graduate School of Science, Kobe University
Division : Algebra
Assistant Professor		 Building B, Room 328

Personal Website
Research Field : Representation theory
Research Summary : I study the representation theory of quantum groups and related algebras. In particular, I have constructed representations of affine Yangians, which are relatively new quantum groups, and studied their properties. These algebras are related to geometric objects such as quiver varieties and Coulomb branches, or integrable systems such as Calogero-Sutherland model.
I am also interested in getting deeper understanding of these relationships.
Primary Publications :
  1. Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras (with Hiraku Nakajima), arXiv:1608.00875, to appear in proceedings of String-Math 2016.
  2. Higher level Fock spaces and affine Yangian, arXiv:1607.03237, to appear in Transformation Groups.
  3. Affine Yangian action on the Fock space, arXiv:1506.01246, to appear in Publ. RIMS.
  4. Loewy series of Weyl modules and the Poincaré polynomials of quiver varieties (with Katsuyuki Naoi), Publications of the Research Institute for Mathematical Sciences 48 (2012), no. 3, 477-500.
  5. Extensions between finite-dimensional simple modules over a generalized current Lie algebra, Transformation Groups 15 (2010), no. 2, 371-388.
  6. A generalization of adjoint crystals for the quantized affine algebras of type A_n^(1), C_n^(1) and D_{n+1}^(2), Journal of Algebraic Combinatorics 30 (2009), no. 4, 491-514. 22(2011), no. 4, 483-513.