Welcome to my website. I am Yuto Moriwaki (森𦚰 湧登), a research scientist at RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS) in Japan.
I have received my PhD in 2021 from the University of Tokyo under the supervision of Masahito Yamazaki (see [CV / Presentations] for more details).
Email: moriwaki(dot)yuto[at]gmail(dot)com
Quantum field theory and String theory
and interdisciplinary research between mathematics and physics (for more detail see my self-introduction En/Ja).
If you would like to talk at iTHEMS Math/MathPhys seminars, please email me.
Functorial QFT, Operator product expansion, Supersymmetry, Reflection positivity, Wick rotation, Topological field theory, Mirror symmetry;
Vertex algebra, Operad, Representation theory, D-modules, Modular form, Probability theory, Factorization algebra.
Cohomology ring of unitary N=(2,2) full vertex algebra and mirror symmetry, arXiv:2504.09919.
Consistency of operator product expansions of Boundary 2d CFT and Swiss-cheese operad, arXiv:2410.02648.
(with M-S. Adamo and Y. Tanimoto) Osterwalder-Schrader axioms for unitary full vertex operator algebras, arXiv:2407.18222.
Vertex operator algebra and parenthesized braid operad, arXiv:2209.10443.
Quantum coordinate ring in WZW model and affine vertex algebra extensions, Sel. Math. New Ser. 28, 68 (2022), arXiv.
Code conformal field theory and framed algebra, arXiv:2104.10094.
Two-dimensional conformal field theory, full vertex algebra and current-current deformation, Adv. Math, 427, (2023), arXiv (Ph.D. thesis).
Full vertex algebra and bootstrap -- consistency of four point functions in 2d CFT, arXiv:2006.15859.
Genus of vertex algebras and mass formula, Math. Z., 299, (2021), 1473 - 1505.
On classification of conformal vectors in vertex operator algebra and the vertex algebra automorphism group, J. Algebra, 546, (2020), 689 - 702.
Waseda number theory seminar, Oct 31.
unification of integrable system, nagoya university.
Progress of bootstrap, Yukawa institute, YITP, November 9-14, 2025.
東京名古屋代数セミナー, Nov 17.
VOAs, number theory and combinatorics, 京都, 2025 Dec 8-12.
Vertex algebras, automorphic forms and combinatorics, Luminy, 2026 June 1-5.