NUMATA, Yasuhide:COE Research Fellow,Algebra

Keyword(s):
Young diagrams, generalized Schur operators, differential posets, Robinson-Schensted-Knuth correspondence, bijection, enumerative combinatorics, growth of trees
Research Interest:
Representation theoretical combinatorics, Combinatorial representation theory
Research Activities:
I am interested in combinatorics. Especially I study enumerative combinatorics originating in representation theory, e.g., Robinson-Schensted-Knuth correspondences for Fomin's dual graphs and generalized Schur operators. I am also interested in theories which have effective combinatorial methods, e.g., symmetric polynomials like Macdonald polynomials, the modules of logarithmic vector fields corresponding to multi hyperplane arrangements in the two-dimensional vector space.