Updated on 2025/06/17
Algebra
2007.4 - 2010.3 Osaka University Graduate School of Information Science and Technology Department of Pure and Applied Mathematics
2017.4 Kagoshima University Research Field in Education, Law, Economics and the Humanities Area Faculty of Education Teacher Education Course (Mathematics Education) Associate Professor
2012.4 - 2017.3 University of Tsukuba Assistant Professor
2008.10 The Mathematical Society of Japan
Yusuke Arike, Kiyokazu Nagatomo . Vertex operator algebras with central charges 164/5 and 236/7 . Communications in Number Theory and Physics14 ( 3 ) 487 - 509 2020.7Reviewed
Yusuke Arike, Kiyokazu Nagatomo, Yuichi Sakai . Vertex operator algebras, minimal models, and modular linear differential equations of order 4 . Journal of the Mathematical Society of Japan70 ( 4 ) 1347 - 1373 2018.10Reviewed
Yusuke Arike, Kiyokazu Nagatomo, Yuichi Sakai . Characterization of the simple Virasoro vertex operator algebras with 2 and 3-dimensional space of characters . Contemporary Mathematics695 175 - 204 2017.8Reviewed
Yusuke Arike, Masanobu Kaneko, Kiyokazu Nagatomo, Yuichi Sakai . Affine vertex operator algebras and modular linear differential equations . Letters in Mathematical Physics106 ( 5 ) 693 - 718 2016.5Reviewed
Yusuke Arike, Kiyokazu Nagatomo . Some remarks on pseudo-trace functions for orbifold models associated with symplectic fermions . International Journal of Mathematics24 ( 2 ) 2013.2Reviewed
Toshiyuki Abe, Yusuke Arike . Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions . Journal of Algebra373 39 - 64 2013.1Reviewed
Yusuke Arike . Logarithmic intertwining operators and the space of conformal blocks over the projective line . Letters in Mathematical Physics101 ( 1 ) 13 - 26 2012.7Reviewed
Yusuke Arike . A matrix realization of the quantum group g_{p,q} . International Journal of Mathematics22 ( 3 ) 345 - 398 2011.3Reviewed
Yusuke Arike . Some remarks on symmetric linear functions and pseudotrace maps . Proceedings of the Japan Academy, Series A, Mathematical Sciences86 ( 7 ) 119 - 124 2010.7Reviewed
Yusuke Arike . A construction of symmetric linear functions on the restricted quantum group U_q(sl_2) . Osaka Journal of Mathematics47 ( 2 ) 535 - 557 2010.6Reviewed
Logarithmic vector-valued modular forms and their modular Wronskians Invited
2025.2
Yusuke Arike Modular linear differential equations and vertex algebras Invited International conference
2024 RIMS symposium: Mathematical aspects of quantum fields and related topics 2024.11 Hayato Saigo, Itaru Sasaki
有家雄介 頂点代数とモジュラー微分方程式 Invited
第68回代数学シンポジウム 2023.9
Yusuke Arike Modular linear differential equations on the theta group and vertex operator superalgebras Invited International conference
Conference in finite groups and vertex algebras 2022.12
Yusuke Arike Pseudo-trace functions Invited International conference
Vertex Operator Algebras and Related Topics in Kumamoto
有家雄介 Vertex operator algebras and modular linear differential equations
第36回代数的組合せ論シンポジウム
Yusuke Arike 164/5 and 236/7 Invited International conference
Vertex operator algebras, number theory and related topics
有家雄介 Twisted super fusion products Invited
Finite Groups, VOAs, and Related Topics 2018
Yusuke Arike Characters and modular linear differential equations of order 3 and 4 Invited International conference
Workshop on finite groups, VOA and algebraic combinatorics
有家雄介, 永友清和, 境優一 Vertex operator algebras, minimal models, and modular linear differential equations
日本数学会年会
有家雄介, 金子昌信, 永友清和, 境優一 Affine vertex operator algebras and modular linear differential equations
日本数学会年会
Yusuke Arike Minimal models and modular linear differential equations of order 4 Invited
有限群とその表現, 頂点作用素代数, 組合せ論の研究
Yusuke Arike Minimal models and modular linear differential equations of 4th order Invited International conference
Vertex Operator Algebras and Related Topics
Yusuke Arike Characters of affine VOAs and modular differential equations Invited International conference
Taitung workshop on group theory, VOA and algebraic combinatorics
Yusuke Arike Fusion rules for irreducible modules for symplectic fermionic VOAs Invited International conference
Hualien Workshop on Finite Groups, VOA, Algebraic Combinatorics and Related Topics
Yusuke Arike Fusion products for symplectic fermionnic VOSA Invited International conference
Beyond the Moonshine
Yusuke Arike Pseudo-trace functions on twisted modules Invited International conference
Taitung workshop on group theory, VOA and algebraic combinatorics
有家雄介 Logarithmic intertwining operators for the symplectic fermionic vertex operator superalgebra Invited
ホップ代数と量子群--応用の可能性
Yusuke Arike Fusion products for the symplectic fermionic vertex operator superalgebra Invited International conference
Conference on Vertex Operator Algebras and Related Topics
安部利之, 有家雄介 Fusion rules for vertex operator algebras arising from symplectic fermoins International conference
日本数学会年会
有家雄介 Logarithmic intertwining operators and 3-point conformal blocks over the projective line
日本数学会年会
有家雄介 Pseudo-trace functions for vertex operator algebras arising from symplectic fermions Invited
有限群とその表現, 頂点作用素代数, 組合せ論の研究
有家雄介, 永友清和 Pseudo-trace functions for vertex operator algebras associated with symplectic fermions
日本数学会秋季総合分科会
Yusuke Arike Pseudo-trace functions for Z_2 orbifold models of symplectic fermionic vertex operator superalgebras Invited International conference
Conformal field theories and tensor categories
有家雄介 Pseudo-trace functions for orbifold models associated with symplectic fermions
第14回代数群と量子群の表現論研究集会
有家雄介 Pseudo-trace functions for orbifold models associated with symplectic fermions Invited
表現論セミナー
有家雄介 Pseudo-trace maps and symmetric linear functions
日本数学会秋季総合分科会
有家雄介 Symmetric linear functions on the quantum group g_{p,q}
日本数学会秋季総合分科会
有家雄介 Symmetric linear functions of the restricted quantum group
日本数学会秋季総合分科会
有家雄介 Restricted quantum group \bar{U}_q(sl_2)の対称線形関数
第11回代数群と量子群の表現論研究集会
有家雄介 \bar{U}_q(sl_2)のsymmetric functionについて Invited
2+1次元トポロジーの新しい流れ
有家雄介 \bar{U}_q(sl_2)の対称線形関数について Invited International conference
特別セミナー
有家雄介 Twisted super fusion products
Finite Groups, VOAs, and Related Topics 2018 2018.3
Yusuke Arike 164/5 and 236/7
Vertex operator algebras, number theory and related topics 2018.6
