For the page of publications in Japanese, click here.
A framework for proving quantum modularity: Application to Witten's asymptotic expansion conjecture, https://arxiv.org/abs/2508.21710
A proof of the radial limit conjecture for Costantino--Geer--Patureau-Mirand quantum invariants (with William Elbæk Mistegård), https://arxiv.org/abs/2408.07423, to appear in Journal of Knot Theory and Its Ramifications
Irreducibility of polynomials defining parabolic parameters of period 3 (with Junnosuke Koizumi, Kaoru Sano, and Kohei Takehira), https://arxiv.org/abs/2408.04850, to appear in Acta Arithmetica
Arithmetic properties of multiplier polynomials for certain polynomial maps (with Kaoru Sano and Kohei Takehira), https://arxiv.org/abs/2403.17315
Homological blocks with simple Lie algebras and Witten--Reshetikhin--Turaev invariants (with Yuji Terashima), https://arxiv.org/abs/2308.04010
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum (with Hirotaka Akatsuka), International Journal of Number Theory, 21, 10, 2233--2253 (2025) / https://arxiv.org/abs/2402.14216
L-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials, Letters in Mathematical Physics, 115, 23, (2025) / https://arxiv.org/abs/2410.05611
Witten-Reshetikhin-Turaev invariants and indefinite false theta functions for plumbing indefinite H-graphs, Journal of Knot Theory and Its Ramifications, 33, 12, 2450035 (2024) / arXiv:2212.09972.
A proof of a conjecture of Gukov-Pei-Putrov-Vafa, Communications in Mathematical Physics, 405, 274 (2024) / arXiv:2302.13526.
Witten-Reshetikhin-Turaev invariants and homological blocks for plumbed homology spheres, Communications in Number Theory and Physics, 18, 2, 371--403 (2024), / arXiv:2205.01282.
Hurwitz class numbers with level and modular correspondences, Research in Number Theory, 9, 40 (2023) / arXiv:2010.11355.
Extended-cycle integrals of modular functions for badly approximable numbers, Research in Number Theory, 9, 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, 034 (2022) / arXiv:2110.10958.
A continuity of cycle integrals of modular functions, The Ramanujan Journal, 55, 1177–1187 (2021) / arXiv:1911.03820.
Intersection numbers of modular correspondences for genus zero modular curves, J. Number Theory, 209, 167--194 (2020) / 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, 22--30 (2017) (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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