For articles in Japanese, click here. 

Preprints.

1. (With Noriyuki Otsubo) Motivic Gauss and Jacobi sums. arXiv:2402.06072. 

2. (With Kanetomo Sato) Torsion birational motives of surfaces and unramified cohomology. arXiv:2309.00430. 

Published papers.

1. (With Rei Inoue) Invariants of Weyl group action and q-characters of quantum affine algebras. Algebras and Representation Theory, Volume 26, 3167--3183 (2023) / arXiv:2207.09867. 

2. (With Bruno Kahn, Hiroyasu Miyazaki and Shuji Saito) Motives with modulus, III: The categories of motives. Annals of K-Theory, Vol. 7 (2022), No. 1, 119--178 / arXiv:2011.11859. 

3. (With Bruno Kahn and Shuji Saito) Reciprocity sheaves, II. Homology, Homotopy and Applications, Volume 24, Number 1 (2022) pp. 71--91/ arXiv:1707.07398 

4. (With Wataru Kai and Shusuke Otabe) Unramified logarithmic Hodge-Witt cohomology and $\mathbb{P}^1$-invariance. Forum of Mathematics, Sigma, Volume 10 , 2022 , e19 / arXiv:2105.07433.

5. (With Florian Ivorra) Mixed Hodge structures with modulus. Journal of the Institute of Mathematics of Jussieu, Volume 21, Issue 1 (2022), pp. 161--195 / arXiv:1712.07423 

6. (With Kay Rülling and  Rin Sugiyama) Tensor structures in the theory of modulus presheaves with transfers. Mathematische Zeitschrift 300, 929--977 (2022) / arXiv:1911.05291 .  

7. (With Bruno Kahn, Hiroyasu Miyazaki and Shuji Saito) Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs. Épijournal de Géométrie Algébrique, Volume 5 (2021), Article Nr. 2 / arXiv:1910.14534

8. (With Bruno Kahn, Hiroyasu Miyazaki and Shuji Saito) Motives with modulus, I: Modulus sheaves with transfers for non-proper modulus pairs. Épijournal de Géométrie Algébrique, Volume 5 (2021), Article Nr. 1 / arXiv:1908.02975

9. (With Yifan Yang) Maximal abelian extension of $X_0(p)$ unramified outside cusps. Manuscripta Mathematica, 162(3), 441-455 (2020)   / arXiv:1901.06564

10. (With Fu-Tsun Wei) Rational torsion of generalized Jacobians of modular and Drinfeld modular curves.  Forum Mathematicum, 31 (2019), no. 3, 647–659. / arXiv:1802.01066

11. (With Florian Ivorra) Nori motives of curves with modulus and Laumon 1-motives. Canadian Journal of Mathematics, 70(2018), 868--897.  / arXiv:1609.08279

12. (With Yifan Yang) Rational torsion on the generalized Jacobian of a modular curve with cuspidal modulus. Documenta Mathematica, Vol. 21 (2016), 1669-1690 / arXiv:1606.06362 

13. (With Bruno Kahn and Shuji Saito) Reciprocity sheaves. (With two appendices by Kay Rülling.) Compositio Mathematica, Vol. 152, No. 9, (2016) 1851-1898 / arXiv:1402.4201

14. (With Kay Rülling) Suslin homology of relative curves with modulus. Journal of the London Mathematical Society, Vol. 93, No. 3 (2016), 567-589 / arXiv:1505.05922

15. (With Shinichi Kobayashi) Torsion points on Jacobian varieties via Anderson's p-adic soliton theory. Asian Journal of Mathematics, Vol. 20, No. 2 (2016), pp. 323-352 / arXiv:1210.5838 

16. (With Rei Inoue and Pol Vanhaecke) Algebraic integrable systems related to spectral curves with automorphisms. Journal of Geometry and Physics, 87, (2015), 198-216. doi link / arXiv:1312.4208 

17. (With Kay Rülling) K-Groups of reciprocity functors for G_a and abelian varieties. Journal of K-theory, 14 (2014), 556-569 / arXiv:1312.4205

18. (With Yuken Miyasaka) Torsion points on hyperelliptic Jacobians via Anderson's p-adic soliton theory. Tokyo Journal of Mathematics, 36 (2013), 387-403 / arXiv:1111.2973

19. (With Bruno Kahn) Voevodsky's motives and Weil reciprocity. Duke Mathematical Journal, 162, (2013), 2751-2796 / arXiv:1108.2764  Erratum. Duke Mathematical Journal, 164, (2015), 2093-2098 / pdf

20. Brauer-Manin pairing, class field theory and motivic homology. Nagoya Mathematical Journal, 210, 29-58 (2013)  / arXiv:1009.4026

21. (With Pol Vanhaecke and Rei Inoue) Singular fiber of the Mumford system and rational solutions to the KdV hierarchy. Communications on Pure and Applied Mathematics, 63, 508-532 (2010) / arXiv:0806.2362 

22. (With Michael Spieß) A counterexample to generalizations of the Milnor-Bloch-Kato conjecture. Journal of K-theory, 4, No. 1, 77-90 (2009) / arXiv:0706.4354

23. Milnor K-group attached to a torus and Birch-Tate conjecture. International Journal of Mathematics, 20, No. 7, 841-857 (2009) / arXiv:0804.3260

24. Class field theory for a product of curves over a local field. Mathematische Zeitschrift, 261, No. 1, 109-121 (2009) / arXiv:math/0608464

25. (With Rei Inoue and Yukiko Konishi) Jacobian variety and integrable system --- after Mumford, Beauville and Vanhaecke. Journal of Geometry and Physics, 57, No. 3, 815-831 (2007) doi link / arXiv:math-ph/0512033 

26. (With Rei Inoue) Cohomological study on variants of the Mumford system, and integrability of Noumi-Yamada system. Communications in Mathematical Physics, 265, 699-719 (2006) / arXiv:math-ph/0501048

27. On Chow and Brauer groups of a product of Mumford curves. Mathematische Annalen, 333, 549-567 (2005) / pdf 

28. Torsion zero-cycles on a product of canonical liftings of elliptic curves. K-theory 31, 289-306 (2004).

29. On Tate duality for Jacobian varieties. Journal of Number Theory 99, 298-306 (2003).

30. Tate duality and ramification of division algebras. Acta Mathematica et Informatica Universitatis Ostraviensis 10, 153-160 (2002). (Proceedings of the 15th Czech and Slovak International Conference on Number Theory, Ostravice, 2001).

31. The exponential homomorphism for the second syntomic cohomology. Journal of Algebra 240, 103-119 (2001).

32. Formal Chow groups, p-divisible groups and syntomic cohomology. Duke Mathematical Journal 102, No.2, 359-390 (2000). On Swan conductors for Brauer groups of curves over local fields. Proceedings of the American Mathematical Society 127, No.5, 1269-1274 (1999).

33. Reduced norm map of division algebras over complete discrete valuation fields of certain type. Compositio Mathematica 112, No.2, 127-145 (1998).

Proceedings editorial. 

1. Algebraic Number Theory and Related Topics 2018. Eds.: T. Yamazaki, S. Yamamoto.  RIMS Kokyuroku Bessatsu B86, September, 2021.

2. Algebraic Number Theory and Related Topics 2017. Eds.: H. Tsunogai, T. Yamazaki, Y. Mizusawa.  RIMS Kokyuroku Bessatsu B83, January, 2021.

3. Algebraic Number Theory and Related Topics 2009. Eds.: T. Ichikawa, M. Kida, T. Yamazaki.  RIMS Kokyuroku Bessatsu B25, April, 2011.

4. Japan-Korea Joint Seminar on Number Theory and Related Topics 2008. Eds.: Hideo Imai, Yoshihiro Ochi, Jaebum Sohn, Yuichiro Taguchi, Hisao Taya, Takao Yamazaki. Interdiscip. Inform. Sci. 16 (2010), no. 1.