Research

Research articles:

• 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, preprint. 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, preprint. arXiv:2103.11535

• D. Burns, T. Sano, On non-commutative Euler systems, preprint. arXiv:2004.10564

• D. Burns, T. Sano, On functional equations of Euler systems, preprint. arXiv:2003.02153

• D. Burns, M. Kurihara, T. Sano, On derivatives of Kato's Euler system for elliptic curves, preprint. 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, submitted. 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:

• T. Sano, A new conjecture for Rubin-Stark elements and its applications, RIMS Kokyuroku Bessatsu B53 (2015) 157-173. 

Slides:

• Recent developments on Stark-type conjectures, 5th December 2017 (at RIMS). pdf

Expository articles in Japanese:

• T. Sano, 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. pdf (2018年1月: 少し修正)

• T. Sano, 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

• T. Sano, 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. pdf

Ph.D. Thesis: "Generalizations of Darmon's conjecture and the equivariant Tamagawa number conjecture" link