Research articles:
D. Macias Castillo, T. Sano, On Selmer complexes, Stark systems and derived p-adic heights, preprint. arXiv:2603.23978
F. Castella, T. Sano, On refined nonvanishing conjectures by Kurihara and Kolyvagin, preprint. arXiv:2601.14504
T. Sano, On the Tamagawa number conjecture for modular forms twisted by anticyclotomic Hecke characters, preprint. arXiv:2510.01601
T. Sano, O. Venjakob, On Lubin-Tate regulator maps and Kato's explicit reciprocity law, preprint. arXiv:2412.12429
D. Burns, D. Puignau, T. Sano, S. Seo, Congruences between derivatives of Artin L-series at s=0, Int. Math. Res. Not. IMRN 2026, no. 1, Paper No. rnaf364, 26 pp.
T. Sano, Derived Bockstein regulators and anticyclotomic p-adic Birch and Swinnerton-Dyer conjectures, preprint. arXiv:2308.08875
D. Burns, T. Sano, On non-commutative Iwasawa theory and derivatives of Euler systems, preprint. arXiv:2211.00276
T. Kataoka, T. Sano, On Euler systems for motives and Heegner points, J. Association for Mathematical Research 2 no.2 (2024) 154-208. arXiv:2203.08342
D. Bullach, D. Burns, T. Sano, On p-adic families of special elements for rank-one motives, Trans. Amer. Math. Soc. 376 (2023) 5377-5407. arXiv:2105.10975
D. Burns, M. Kurihara, T. Sano, On derivatives of Kato's Euler system and the Mazur-Tate Conjecture, Int. Math. Res. Not. 2025 no.4 (2025) Paper No. rnaf012, 26 pp. arXiv:2103.11535
D. Burns, T. Sano, On non-commutative Euler systems, II: theory and examples, preprint.
D. Burns, T. Sano, On non-commutative Euler systems, I: preliminaries on 'Det' and 'Fit', to appear in Kyoto Journal of Mathematics. arXiv:2004.10564
D. Burns, T. Sano, On functional equations of Euler systems, in Arithmetic of L-Functions, EMS Series of Congress Reports, EMS Press, Berlin (2025) 3-41. arXiv:2003.02153
D. Burns, M. Kurihara, T. Sano, On derivatives of Kato's Euler system for elliptic curves, J. Math. Soc. Japan 76 no.3 (2024) 855-919. arXiv:1910.07404
D. Burns, A. Daoud, T. Sano, S. Seo, On Euler systems for the multiplicative group over general number fields, Publicacions Matemàtiques 67 no.1 (2023) 89-126. arXiv:1906.01565
D. Burns, R. Sakamoto, T. Sano, On the theory of higher rank Euler, Kolyvagin and Stark systems, IV: the multiplicative group, preprint. arXiv:1903.09509
D. Burns, R. Sakamoto, T. Sano, On the theory of higher rank Euler, Kolyvagin and Stark systems, III: applications, preprint. arXiv:1902.07002
D. Burns, T. Sano, K.-W. Tsoi, On higher special elements of p-adic representations, Int. Math. Res. Not. 2021 no.20 (2021) 15337-15411. arXiv:1809.03830
D. Burns, R. Sakamoto, T. Sano, On the theory of higher rank Euler, Kolyvagin and Stark systems, II: the general theory, to appear in Algebra and Number Theory. arXiv:1805.08448
D. Burns, T. Sano, On the theory of higher rank Euler, Kolyvagin and Stark systems, Int. Math. Res. Not. 2021 no.13 (2021) 10118-10206. arXiv:1612.06187
D. Burns, M. Kurihara, T. Sano, On Stark elements of arbitrary weight and their p-adic families, Adv. Stud. Pure Math. 86 (2020) 113-140. arXiv:1607.06607
D. Burns, M. Kurihara, T. Sano, On Iwasawa theory, zeta elements for G_m, and the equivariant Tamagawa number conjecture, Algebra and Number Theory 11 No. 7 (2017) 1527-1571. arXiv:1506.07935
D. Burns, M. Kurihara, T. Sano, On zeta elements for G_m, Documenta Math. 21 (2016) 555-626. arXiv:1407.6409
T. Sano, On a conjecture for Rubin-Stark elements in a special case, Tokyo J. Math. 38 No. 2 (2015) 459-476. arXiv:1406.4940
T. Sano, Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns, Compositio Math. 150 (2014) 1809-1835. arXiv:1406.4623
T. Sano, A generalization of Darmon's conjecture for Euler systems for general p-adic representations, J. Number Theory 144 (2014) 281-324. arXiv:1406.4618
Expository articles:
On p-adic L-functions for motives, Proceedings of the Waseda Number Theory Conference 2026. pdf
A new conjecture for Rubin-Stark elements and its applications, RIMS Kokyuroku Bessatsu B53 (2015) 157-173.
Slides:
On p-adic L-functions for motives, 早稲田整数論研究集会2026, Waseda University, 17 March 2026. pdf
On derivatives of p-adic L-functions for motives, Iwasawa 2025, NCTS (Taipei), 30 June 2025. pdf
On derivatives of Euler systems for motives, Development of Iwasawa theory, Keio University, 22 July 2024. pdf
On descent theory for Selmer complexes and applications to p-adic Birch and Swinnerton-Dyer conjectures, Recent Progress on Hilbert’s 12th Problem, ICMS, Bayes Centre, Edinburgh, 27 June 2024. pdf
Expository articles in Japanese:
Selmer複体とp進BSD予想(Selmer complexes and p-adic Birch and Swinnerton-Dyer conjectures), 代数的整数論とその周辺2023, 数理解析研究所講究録, Volume 2295, 2024.
Hilbertの第12問題の最近の進展について (Recent progress on Hilbert’s 12th problem), 代数的整数論とその周辺2021, 数理解析研究所講究録 , 2225巻 , 2022.
Euler系の理論の最近の発展について(Recent developments on the theory of Euler systems), 第62回代数学シンポジウム報告集.
Solomonのcyclotomic p-unitsについて (On Solomon's cyclotomic p-units), 北陸数論研究集会2014報告集. pdf
同変玉河数予想入門 (An introduction to the equivariant Tamagawa number conjecture), 2014年度整数論サマースクール報告集.
Ph.D. Thesis: "Generalizations of Darmon's conjecture and the equivariant Tamagawa number conjecture" link