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 CalogeroSutherland
model.
I am also interested in getting deeper understanding of these relationships.


Primary Publications : 
 Quantized Coulomb branches of Jordan quiver gauge theories and
cyclotomic rational Cherednik algebras (with Hiraku Nakajima),
arXiv:1608.00875, to appear in proceedings of StringMath 2016.
 Higher level Fock spaces and affine Yangian, arXiv:1607.03237, to
appear in Transformation Groups.
 Affine Yangian action on the Fock space, arXiv:1506.01246, to appear in
Publ. RIMS.
 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, 477500.
 Extensions between finitedimensional simple modules over a generalized
current Lie algebra, Transformation Groups 15 (2010), no. 2, 371388.
 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, 491514.
22(2011), no. 4, 483513.


