Some Papers after 2000

Some analytic quantities yielding arithmetic information about elliptic curves, preprint, (2021) (pdf file)

On derivatives of Kato's Euler system and the MazurTate Conjecture
(with David Burns and Takamichi Sano), preprint, (2021) (pdf file)

On derivatives of Kato's Euler system for elliptic curves
(with David Burns and Takamichi Sano), preprint, (2020) (pdf file)

Fitting ideals of pramified Iwasawa modules over totally real fields
(with Cornelius Greither and Takenori Kataoka), preprint, (2020) (pdf file)

Notes on the dual of the ideal class groups of CMfields
to appear in Journal de Théorie des Nombres de Bordeaux, preprint, (2020) (pdf file)

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

The second syzygy of the trivial Gmodule, 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)

On Stark elements of arbitrary weight and their padic 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)

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)

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)

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), 555626 (pdf file)

Tate sequences and Fitting ideals of Iwasawa modules (with Cornelius Greither),
St. Petersburg Math. J. 27(Vostokov volume) (2016), 941965 (pdf file)

RubinStark elements and ideal class groups (Exposition),
RIMS Kokyuroku Bessatsu B53 (2015), 343363 (pdf file)

Refined Iwasawa theory for padic representations and the structure of Selmer groups,
Muenster Journal of Mathematics 7 (2014) (the volume for P. Schneider's 60th birthday), 149223 (pdf file)

The structure of Selmer groups for elliptic curves and modular symbols,
in Iwasawa theory 2012, edited by Bouganis and Venjakob (2014), 317356 (pdf file)

Refined Iwasawa theory and Kolyvagin systems of Gauss sum type, Proceedings of the London Mathematical Society 104 (2012), 728269 (pdf file)

Ideal class groups of CMfields with noncyclic Galois action (with Takashi Miura), Tokyo Journal of Mathematics 352 (2012), 411439 (pdf file)

On stronger versions of Brumer's conjecture,
Tokyo Journal of Mathematics 342 (2011), 407428 (pdf file)

Stickelberger ideals and Fitting ideals of class groups for abelian number fields (with Takashi Miura),
Mathematische Annalen 350 (2011), 549575 (pdf file, erratum)

Stickelberger elements, Fitting ideals of class groups of CM fields, and dualisation
(with Cornelius Greither), Mathematische Zeitschrift 260 (2008), 905930 (pdf file)

Two padic Lfunctions and rational points on elliptic curves with supersingular reduction,
(with Robert Pollack), LMS Lecture Note Series 320 (2007), 300332 (pdf file)

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)

Remarks on the lambda_{p}invariants of cyclic fields of degree p,
Acta Arithmetica 1163 (2005), 199216 (pdf file)

On the structure of ideal class groups of CM fields, Documenta Mathematica
Extra Volume Kato (2003), 539563 (pdf file)
 Iwasawa theory and Fitting ideals, J. reine angew. Math. 561 (2003),
3986 (pdf file, erratum)
 On the Tate Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction I, Invent math 149 (2002), 195224 (pdf file)