Integrable connections related to zonal spherical functions,
Invent. Math., 110 (1992), 95--121.
Quantum algebra structure of certain Jackson integrals.
Commun. Math. Phys., 157 (1993), 479--498.
A q-deformation of Wakimoto modules, primary fields, and screening operators.
Commun. Math. Phys. 160 (1994), 33--48.
Axioms for a vertex algebra and the locality of quantum fields.
MSJ Memoirs 4, Math. Soc. Japan, 1999. （with Kiyokazu Nagatomo）
Norton's trace formulae for the Griess algebra of a vertex operator algebra with larger symmetry.
Commun. Math. Phys. 224 (2001), 565--591.
3-transposition groups of symplectic type and vertex operator algebras.
Journal of Mathematical Society of Japan 57 (2005), no. 3, 639--649.
Quasi-finite algebras graded by Hamiltonian and vertex operator algebras.
Moonshine - The First Quarter Century and Beyond, Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras, London Mathematical Society Lecture Note Series No.\ 372, Cambridge University Press, 2010, 282--329. (with K. Nagatomo and A. Tsuchiya)
Universal formula for the Hilbert series of minimal nilpotent orbits.
Proceedings of the American Mathematical Society., 145, No.12, (2017), 5123--5130. (with A.P. Veselov)
主要招待講演
A q-deformation of Wakimoto representation and the quantum Knizhnik-Zamolodchikov equation
AMS special session: Mathematics of two-dimensional quantum field theory,
Howard University, Washington D.C., U.S.A., May 1993.
Mathematics of WZW model in conformal field theory.
NSF-CBMS Conference: Application of representation theory of quantum affine algebras to solvable lattice model,
North Carolina State University, Raughley, U.S.A., June 1993.
q-KZ 方程式とその周辺
日本物理学会応用数学分科会,
静岡大学, September 1994.
Parafermion algebras and the Monster.
London Mathematical Society Spitalfields Day (in association with the Isaac Newton Institute),
Loughborough University, England, UK, November 2001.
頂点作用素代数のモジュラー不変性に関するいくつかの話題
第47回代数学シンポジウム
室蘭工業大学, August 2002.
On generalizations of Zhu's algebra and the zeromode algebra associated with a vertex operator algebra.
Moonshine - the First Quarter Century and Beyond. A Workshop on the Moonshine Conjectures and Vertex Algebras.
Heriot-Watt University, Edinburgh, Scotland, UK, July 2004
サービス等
International Conference ``Algebraic Analysis and Around'', Kyoto, June 2008.
組織委員および報告集編集
Algebraic analysis and around. In honor of Professor Masaki Kashiwara's 60th birthday. Proceedings of the conference held at Kyoto University, Kyoto, June 25--30, 2007. Advanced Studies in Pure Mathematics, 54. Mathematical Society of Japan, Tokyo, 2009.
（三輪哲治（委員長）, 中島俊樹, 斉藤義久と共同）
第38回谷口シンポジウム「Topological field theory, primitive forms, and related topics」組織委員および報告集編集
Topological field theory, primitive forms and related topics,
Progress in Mathematics, 160. Birkhauser Boston, 1998.
（斎藤恭司（委員長）, 佐竹郁夫, 柏原正樹と共同）