Research interests include Categorifical representation theory and Combinatorial representation theory. Current work involves Monoidal categorification of cluster algebras via quantum affine algebras, Computing denominator formulas between KR-modules for all affine types, Quiver Hecke algebras and its representation theory, and Identities involving Schur-polynomials via auto-corelations.

연구 관심 분야는 범주형 표현론과 조합론적 표현론입니다. 현재 연구는 양자 아핀 대수를 통한 클러스터 대수의 모노이드 범주화, 모든 아핀 유형에 대한 KR-모듈 간의 분모 공식 계산, 쿼버 헤케 대수 및 그 표현론, 자동 상관을 통한 슈어 다항식 관련 항등식을 포함합니다.

Faithful Action of the Braid Group on Bosonic Extensions

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras

Monoidal categorification and quantum affine algebras III

Reflection functors on quiver Hecke algebras

Braid symmetries on bosonic extensions

Braid group action on quantum virtual Grothendieck ring through constructing presentations

Isomorphisms among quantum Grothendieck rings and cluster algebras

Simplicity of tensor products of Kirillov--Reshetikhin modules: nonexceptional affine and G types

Quantum cluster algebra, braid moves and quantum virtual Grothendieck ring

Global bases for Bosonic extensions of quantum unipotent coordinate rings

PBW theory for Bosonic extensions of quantum groups

Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras

Localizations for quiver Hecke algebras III

Laurent family of simple modules over quiver Hecke algebra

Affinizations, R-matrices and reflection functors

Monoidal categorification and quantum affine algebras II

t-quantized Cartan matrix and R-matrices for cuspidal modules over quiver Hecke algebras

Localizations for quiver Hecke algebras II

Auto-correlation functions for unitary groups

Weight multiplicities and Young tableaux through affine crystals

The (q,t)-Cartan matrix specialized at q=1 and its applications

Auto-correlation functions of Sato-Tate distributions and identities of symplectic characters

Isomorphisms among quantum Grothendieck rings and propagation of positivity

Categories over quantum affine algebras and monoidal categorification

Braid group action on the module category of quantum affine algebras

Simply-laced root systems arising from quantum affine algebras

Cluster algebra structures on module categories over quantum affine algebras

PBW theory for quantum affine algebras

PBW theoretic approach to the module category of quantum affine algebras

Q-data and Representation theory of untwisted quantum affine algebras

Localizations for quiver Hecke algebras

Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras

Cyclic sieving phenomenon on dominant maximal weights

Monoidal categorification and quantum affine algebras

Addendum -- Categorical relations between Langlands dual quantum affine algebras: Exceptional cases

Twisted and folded Auslander-Reiten quivers and applications to the representation theory of quantum affine algebras

Identities from representation theory

Fully commutative elements of the complex reflection groups

Combinatorial Auslander-Reiten quiver related to reduced expression

Categorical relations between Langlands dual quantum affine algebras: Exceptional cases

Categorical relations between Langlands dual quantum affine algebras: Doubly laced types

Auslander-Reiten quiver and representation theories related to KLR-type Schur-Weyl duality

Monoidal categories of modules over quantum affine algebras of type A and B

Monoidal categories associated with strata of flag manifolds

Monoidal categorification of cluster algebra

Catalan triangle numbers and binomial coefficients

Dominant maximal weights of highest weight modules and Young tableaux

Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality

Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV

The Denominators of normalized R-matrices of types A^{(2)}_{2n-1}, A^{(2)}_{2n} , B^{(1)}_{n} and D^{(2)}_{n+1}

Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III

Auslander-Reiten quiver of type A and generalized quantum affine Schur-Weyl duality

Simplicity of heads and socles of tensor products

The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls

Supercategorification of quantum Kac-Moody algebras II

Young walls and graded dimension formulas for finite quiver Hecke algebras of type A^{(2)}_{2n} and D^{(2)}_{n+1}

Supercategorification of quantum Kac-Moody algebras

Construction of Irreducible representations over Khovanov-Lauda-Rouquier algebras of finite classical type

Se-jin Oh's Homepage

교수님 소개

Se-jin Oh

연구실 소개

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Faithful Action of the Braid Group on Bosonic Extensions

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras

Monoidal categorification and quantum affine algebras III

연구실 보유 특허

대학별 입시끈

우리 연구실 모집

교수님 소개

Se-jin Oh

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Faithful Action of the Braid Group on Bosonic Extensions

Denominators of R-matrices, higher Dorey's rules and a generalization of T-systems for quantum affine algebras

Monoidal categorification and quantum affine algebras III

연구실 보유 특허

최근 3년간 연구실적 높은 연구실

대학별 입시끈

우리 연구실 모집