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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
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
An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum (with Hirotaka Akatsuka), to appear in International Journal of Number Theory / 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
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
神谷パターン及びその亜種の展開図を骨格により描画する方法, 折り紙の科学, 6, 22--30 (2017).
非Seifert多様体に対する量子不変量の量子モジュラー性, 数理解析研究所講究録「保型形式, 保型L関数とその周辺」.
j 関数の実二次点における「値」の連続性とその拡張, 数理解析研究所講究録「代数的整数論とその周辺2019」, （草稿のPDF（日本語） ）
モジュラー対応の交点数, 数理解析研究所講究録「保型形式，保型表現とその周辺2019」, 197-206, 2136(2019).
僕らの数学の生み出し方（松坂俊輝氏との対談記事）, 数学セミナー2025年4月号
Cycle integrals of modular functions and their applications, 要旨（指導教員：山内卓也）, 博士論文, 東北大学, 2022.
モジュラー対応の交点数, 要旨（指導教員：山内卓也）, 修士論文, 東北大学, 2020.
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