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Oota Kazuto

太田 和惟

Graduate School of Science Department of Mathematics, Associate Professor

Education

  • 2012/04 - 2015/09, 東北大学大学院, 理学研究科, 数学専攻博士課程(後期)
  • 2010/04 - 2012/03, 東北大学大学院, 理学研究科, 数学専攻博士課程(前期)
  • 2006/04 - 2010/03, Tohoku University, Faculty of Science, Department of Mathematics

Research History

  • 2020/10 - Present, 大阪大学, 理学研究科, 准教授
  • 2018/04 - 2020/09, 日本学術振興会, 特別研究員 (PD)
  • 2015/10 - 2018/03, Keio University, Faculty of Science and Technology, Department of Mathematics, 特任助教
  • 2012/04 - 2015/03, 日本学術振興会, 特別研究員 (DC1)

Research Areas

  • Natural sciences, Algebra, 整数論

Professional Memberships

  • THE MATHEMATICAL SOCIETY OF JAPAN

Papers

  • Big Heegner points and generalized Heegner cycles, Kazuto Ota, Journal of Number Theory, Vol. 208, p. 305-334, 2020
  • Kato's Euler system and the Mazur-Tate refined conjecture of BSD type, Kazuto Ota, American Journal of Mathematics, Vol. 140, No. 2, p. 495-542, 2018
  • A GENERALIZATION OF THE THEORY OF COLEMAN POWER SERIES, Kazuto Ota, TOHOKU MATHEMATICAL JOURNAL, TOHOKU UNIVERSITY, Vol. 66, No. 3, p. 309-320, 2014/09
  • Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists, Shinichi Kobayashi,Kazuto Ota, Advanced Studies in Pure Mathematics, Development of Iwasawa Theory - the Centennial of K. Iwasawa’s Birth, Vol. to appear
  • On the Mazur-Tate refined conjecture of BSD type, Kazuto Ota, RIMS Kokyuroku Bessatsu: Algebraic Number Theory and Related Topics 2015, Vol. B72, p. 119-134, 2018
  • Anticyclotomic Iwasawa main conjecture for modular forms, Shinichi Kobayashi,Kazuto Ota, RIMS Kokyuroku Bessatsu, Vol. to appear

Misc.

  • On the quantitative variation of congruence ideals and integral periods of mod- ular forms, Chan-Ho Kim,Kazuto Ota, arXiv:1905.02926[math.NT]
  • On the rank-part of the Mazur-Tate refined conjecture for higher weight modular forms, Kazuto Ota, preprint

Presentations

  • Big Heegner 点と Heegner サイクル, 太田和惟, 2019 大分佐賀整数論研究集会, 2019/10/13
  • On the quantitative variation of congruence ideals of modular forms II, Kazuto Ota, 九大代数学セミナー, 2019/10/09
  • Big Heegner points and Heegner cycles, Kazuto Ota, KIAS Number Theory Seminar, 2019/03/28
  • 楕円保型形式に対する反円分岩澤主予想, 太田和惟, 2019 早稲田整数論研究集会, 2019/03/15
  • Anticyclotomic Iwasawa main conjecture for modular forms, Kazuto Ota, Keio-Yonsei Number Theory Workshop, 2018/12/04
  • Anticyclotomic Iwasawa main conjecture for modular forms, 太田和惟, 第 17 回仙台広島整数論集会, 2018/07/13
  • 楕円保型形式に対する反円分岩澤主予想, 太田和惟, 慶應義塾大学代数セミナー, 2018/05/21
  • On the rank-part of the Mazur-Tate refined conjecture for modular forms, 太田和惟, 日本数学会2018年度年会, 2018/03/18
  • On the anticyclotomic Iwasawa main conjecture for modular forms, Kazuto Ota, UK-Japan Winter School 2018 on Number Theory, 2018/01/11
  • On the Mazur-Tate refined conjecture for modular forms, Kazuto Ota, KIAS Number theory seminar 2017, 2017/12/27
  • Anticyclotomic Iwasawa main conjecture for modular forms, Kazuto Ota, 代数的整数論とその周辺2017, 2017/12/05
  • On the Mazur-Tate refined conjecture for modular forms, Kazuto Ota, Workshop on p-adic L-functions and algebraic cycles, 2017/09/12
  • Mazur-TateのBSD型精密化予想について, 太田和惟, 早稲田整数論セミナー, 2016/04/15
  • On the Mazur-Tate refined conjecture of BSD type, Kazuto Ota, 第12回数学総合若手研究集会, 2016/03/02
  • Kato's Euler system and the Mazur-Tate refined conjecture of BSD type, Kazuto Ota, Sendai International Conference on Arithmetic Geometry 2016, 2016/01/28
  • 加藤オイラー系とメイザー・テイトの BSD 型精密化予想について, 太田和惟, 代数的整数論とその周辺2015, 2015/11/30