Masato Kurihara

Conferences in 2025

・Iwasawa 2025, National Center for Theoretical Sciences, Taipei, June 30- July 4, 2025

>> 

・The Iwasawa Theory Taipei Summer School will be held during June 25 - June 28, 2025. 

Some  Recent Papers

1.  On derivatives of Kato's Euler system and the Mazur-Tate Conjecture, (with David Burns and Takamichi Sano), International Mathematics Research Notices 2025(4) (2025), 1-26  (pdf file) 

2. On class groups and Iwasawa modules of CM-fields, in ``Arithmetic of L-Functions", Proceedings of an International Conference held 

at ICMAT, Madrid, EMS Series of Congress Reports (2025), 149-183 (pdf file). 

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

4. 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)

5. Some analytic quantities yielding arithmetic information about elliptic curves, Proceedings of TATA Institute, Arithmetic Geometry (2024), 345-384 (pdf file)

6. Fitting ideals of p-ramified Iwasawa modules over totally real fields

(with Cornelius Greither and Takenori Kataoka), Selecta Mathematica 28:14 (2022) (pdf file)

7. 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)

8. 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)

9. 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)

10. 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).)

Japanese pages

・栗原研のM2の学生、八木颯仁君が、優秀な修士論文に送られる数理科学奨励賞を受賞しました 

・研究室の卒業生が「塾員来往」で紹介されました

     * 種田 宗司さん　* 佐野 昂迪さん　* 加藤 祐子さん

・数論入門事典(朝倉書店)が2023年6月1日に刊行されました　

　 13章平方剰余、14章2次形式、44章ガウスを執筆しました