-Welcome to the website of M.Kurihara
Masato Kurihara
Professor of Mathematics
Keio University
Address :
Department of Mathematics
Faculty of Science and Technology
Keio University
3-14-1 Hiyoshi, Kohoku-ku
Yokohama, 223-8522, JAPAN
Office : Room 745(14-745)
e-mail : kurihara(☆)math.keio.ac.jp
Talks in 2024
・T-unsmoothed Iwasawa modules
Development of Iwasawa theory, Keio University, July 26, 2024
・Recent development of the relationship between arithmetic modules and the zeta values
Algebra Symposium, Tsukuba University, August 27, 2024
Some Recent Papers
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 (14) (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)
Books
1. Development of Iwasawa Theory — the Centennial of K. Iwasawa's Birth
Advanced Studies in Pure Mathematics 86 [published on December 10, 2020]
(This is the Proceedings of the conference Iwasawa 2017 held at the University of Tokyo in 2017.)
2. Exploration of the Arithmetic World of Gauss (in Japanese) [published on May 15, 2017]
(An introduction to number theory for undergraduate students. Beginning with a famous problem of drawing regular polygons, this book gives elementary proofs of both quadratic and biquadratic reciprocity laws based on Gauss's original idea, and a proof of the formula on the number of rational points over finite fields on some quartic curves, etc. (these are all related).)