# Some Papers after 2000

1. Minimal resolutions of Iwasawa modules (with Takenori Kataoka), Research in Number Theory 10:64 (2024) (pdf file)

2. On derivatives of Kato's Euler system for elliptic curves (with David Burns and Takamichi Sano), Journal of the Mathematical Society of Japan 76 No.3 (2024),855-911 (pdf file)

3. Some analytic quantities yielding arithmetic information about elliptic curves, preprint (2021), Proceedings of TATA Institute,

*Arithmetic Geometry*(2024), 345-384 (pdf file)

4. On derivatives of Kato's Euler system and the Mazur-Tate Conjecture, (with David Burns and Takamichi Sano), preprint, (2021) (pdf file)

5. Fitting ideals of p-ramified Iwasawa modules over totally real fields (with Cornelius Greither and Takenori Kataoka), Selecta Mathematica 28 :14 (2022) (pdf file)

6. Notes on the dual of the ideal class groups of CM-fields, Journal de Théorie des Nombres de Bordeaux 33, 971- 996 (2021) (pdf file)

7. On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction, (with Chan-Ho Kim), International Mathematics Research Notices 2021 (2021), 10559–10599 (pdf file)

8. The second syzygy of the trivial G-module, and an equivariant main conjecture, (with Cornelius Greither and Hibiki Tokio), Development of Iwasawa Theory — the Centennial of K. Iwasawa's Birth, Advanced Studies in Pure Mathematics 86(2020), 317 - 349 (pdf file)

9. On Stark elements of arbitrary weight and their p-adic families, (with David Burns and Takamichi Sano), Development of Iwasawa Theory — the Centennial of K. Iwasawa's Birth, Advanced Studies in Pure Mathematics 86 (2020), 113 - 140 (pdf file)

10. On Iwasawa theory, zeta elements for G_m, and the equivariant Tamagawa number conjecture. (with David Burns and Takamichi Sano),

Algebra and Number Theory 11 （ 7 ）(2017), 1527 - 1571 (pdf file) 11. Fitting ideals of Iwasawa modules and of the dual of class groups (with Cornelius Greither),Tokyo Journal of Mathematics 39 （ 3 ）(2017), 619 - 642 (pdf file) 12. On arithmetic properties of zeta elements, I (with David Burns and Takamichi Sano) We changed the title of this paper to "On zeta elements for G_{m}", Documenta Mathematica 21 (2016), 555-626 (pdf file) 13. Tate sequences and Fitting ideals of Iwasawa modules (with Cornelius Greither), St. Petersburg Math. J. 27(Vostokov volume) (2016), 941-965 (pdf file) 14. Rubin-Stark elements and ideal class groups (Exposition), RIMS Kokyuroku Bessatsu B53 (2015), 343-363 (pdf file)15. Refined Iwasawa theory for p-adic representations and the structure of Selmer groups,

Muenster Journal of Mathematics 7 (2014) (the volume for P. Schneider's
60th birthday), 149-223 (pdf file)

in Iwasawa theory 2012, edited by Bouganis and Venjakob (2014), 317-356 (pdf file)

18. Ideal class groups of CM-fields with non-cyclic Galois action (with Takashi Miura), Tokyo Journal of Mathematics 35-2 (2012), 411-439 (pdf file)

19. On stronger versions of Brumer's conjecture,

Tokyo Journal of Mathematics 34-2 (2011), 407-428 (pdf file)

Mathematische Annalen 350 (2011), 549-575 (pdf file, erratum) 21. Stickelberger elements, Fitting ideals of class groups of CM fields, and dualisation (with Cornelius Greither), Mathematische Zeitschrift 260 (2008), 905-930 (pdf file) 22. Two p-adic L-functions and rational points on elliptic curves with supersingular reduction, (with Robert Pollack), LMS Lecture Note Series 320 (2007), 300-332 (pdf file) 23. On the growth of Selmer groups of an elliptic curve with supersingular reduction in the Z_{2}-extension of Q} (with Rei Otsuki), Pure and Applied Mathematics Quarterly Vol.2 (Special Issue: In honor of John H. Coates) (2006), 199—210 (pdf file)24. Remarks on the lambda_{p}-invariants of cyclic fields of degree p,

Acta Arithmetica 116-3 (2005), 199-216 (pdf file) 25. On the structure of ideal class groups of CM fields, Documenta Mathematica

Extra Volume Kato (2003), 539-563 (pdf file) 26. Iwasawa theory and Fitting ideals, J. reine angew. Math. 561 (2003), 39-86 (pdf file, erratum) 27. On the Tate Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction I, Invent math 149 (2002), 195-224 (pdf file)