Yuto Moriwaki, a mathematician

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

・7月13日-17日、名古屋大学にて集中講義を担当します。
I will give an intensive lecture course at Nagoya University in July 13 - 17, 2026.

I am interested in mathematical aspects of

Quantum field theory and String theory

and interdisciplinary research between mathematics and physics.

Research Interests
Functorial QFT, Vertex algebra, Operad, Reflection positivity, Factorization algebra, Factorization homology, Representation theory, D-modules, Modular form, Probability theory, Supersymmetry, Topological field theory.

Papers (arXiv, Google Scholar, Kaken)

Bergman space, Conformally flat 2-disk operads and affine Heisenberg vertex algebra, arXiv:2603.06491.
Prefactorization algebras for the conformal Laplacian: Central charge and Hilbert Fock space, arXiv:2602.17549.
Conformally flat factorization homology in Ind-Hilbert spaces and Conformal field theory, arXiv:2602.08729.
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.

My schedule (Talks, Conferences and Visits)

Altret, May
ibs, Korea, July 20 - 24.

Yuto Moriwaki, a mathematician

I am interested in mathematical aspects of

Research Interests Functorial QFT, Vertex algebra, Operad, Reflection positivity, Factorization algebra, Factorization homology, Representation theory, D-modules, Modular form, Probability theory, Supersymmetry, Topological field theory.

Papers (arXiv, Google Scholar, Kaken)

My schedule (Talks, Conferences and Visits)

Research Interests
Functorial QFT, Vertex algebra, Operad, Reflection positivity, Factorization algebra, Factorization homology, Representation theory, D-modules, Modular form, Probability theory, Supersymmetry, Topological field theory.