Publications

For the page of publications in Japanese, click here.

Preprints

Arithmetic properties of multiplier polynomials for certain polynomial maps (with Kaoru Sano and Kohei Takehira), https://arxiv.org/abs/2403.17315
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum (with Hirotaka Akatsuka), https://arxiv.org/abs/2402.14216
Homological blocks with simple Lie algebras and Witten--Reshetikhin--Turaev invariants (with Yuji Terashima), https://arxiv.org/abs/2308.04010
A proof of a conjecture of Gukov-Pei-Putrov-Vafa, arXiv:2302.13526.
Witten-Reshetikhin-Turaev invariants and indefinite false theta functions for plumbing indefinite H-graphs, arXiv:2212.09972.
Witten-Reshetikhin-Turaev invariants and homological blocks for plumbed homology spheres, arXiv:2205.01282.

Hurwitz class numbers with level and modular correspondences, Research in Number Theory volume 9, Article number: 40 (2023) / arXiv:2010.11355.
Extended-cycle integrals of modular functions for badly approximable numbers, Research in Number Theory, 9, Article number: 50 (2023) / arXiv:2110.08452.
Witten-Reshetikhin-Turaev invariants, homological blocks, and quantum modular forms (with Akihito Mori), Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 18 (2022), 034 arXiv:2110.10958.
A continuity of cycle integrals of modular functions, Ramanujan J, (2020) / arXiv:1911.03820.
Intersection numbers of modular correspondences for genus zero modular curves, J. Number Theory, 209 (2020), 167--194 / arXiv:1806.01751. / Corrigendum to “Intersection numbers of modular correspondences for genus zero modular curves” [J. Number Theory 209 (April 2020) 167–194], Journal of Number Theory. Available online 6 October 2020
The Method of Drawing Crease Pattern of Kamiya Pattern and Its Variety by Skeleton, Science of Origami, 6 (2017), 22--30 (in Japanese).

Intersection numbers of modular correspondences, RIMS Kôkyûroku, 2136(2019) (in Japanese).

Cycle integrals of modular functions and their applications, abstract (in Japanese) (supervisor: Takuya Yamauchi), PhD thesis, Tohoku University, 2022.
Intersection numbers of modular correspondences, abstract (supervisor: Takuya Yamauchi), Master's thesis, Tohoku University, 2020 (in Japanese).

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