Assistant Professor, Mathematical Institute, Tohoku University
Publications, preprints and notes.
Products of special values of L-functions and their applications Acta Arithmetica 116 (2005), 99--114.
Indivisibility of cental values of L-functions for modular forms Proceedings of the American Mathematical Society 143 (2015), 2829--2840.
Simultaneous non-vanishing of modular L-functions Archiv der Mathematik 83 (2007), 211--215.
Indivisibility of orders of Selmer groups for modular forms International Journal of Number Theory 5 No2, 1--10 (2009).
On ordinary primes of modular forms and the theta operator (joint work with Masanobu Kaneko) Proceedings of the American Mathematical Society 135 (2007), 1001--1005.
On the equivariant Tamagawa number conjecture for CM elliptic curves RIMS Kokyuroku B4 (2007), 197--221.
On Teitelbaum type L-invariants of Hilbert modular forms attached to definite quaternions (joint work with Chung Pang Mok and Jeehoon Park) Journal of Number Theory 147 (2015) 633--665.
On Fourier coefficients of Siegel modular forms of degree two with respect to congruence subgroups (joint work with Hidenori Katsurada and Kohji Matsumoto) Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg 84 (2014) 31--47.
Special values of anticyclotomic L-functions for modular forms (joint work with Ming-Lun Hsieh) to appear in Crelle's Journal.
On the rational K_2 of a curve of GL_2 type over a global field of positive characteristic (joint work with Satoshi Kondo and Takuya Yamauchi) Journal of K-Theory 14 (2014) 313--342.
On the anticyclotomic Iwasawa main conjecture for modular forms (joint work with Ming-Lun Hsieh) Compositio Mathematica 151 (2015), 863--893. erratum
Regulators for Rankin-Selberg products of modular forms (joint work with François Brunault) to appear in Annales des Sciences Mathématiques du Québec, Special issue marking the 60th birthday of Glenn Stevens.
Slide of my talk on master thesis. (2004/2/6)
Note for seminar at Nara Women University(2003/10/23) .
On congruences of modular forms and their applications (A survey paper, RIMS Kokyuroku, 2004/03/16, in Japanese)
Congruence Numbers, Elliptic curves and Modular forms (Note from Kawatabi Seminar, 2005/09/3--4, in Japanese)
Selmer groups for modular forms (Note from Muroran Seminar, 2004/03/16, in Japanese)
Indivisibility of special values of L-functions and orders of Selmer groups for modular forms (Survey paper, Proceeding of Hakuba conference on automorphic forms, 2006/01/31)
Motives and special values of L-functions (Survey on Tamagawa number conjecture, in Japanese, 2006/02/21)
Hida families and Iwasawa main conjecture (Proof of Iwasawa Main conjecture using Hida families, in Japanese, 2006/02/21)
Some TeX files Reports and notes. (2002/9/23)
Class field theory(Report as an undergraduate student, in Japanese)
(1) Anticyclotomic p-adic L-functions for modular forms,
Number theory joint seminar, 2012 May 18, Department of Mathematics, Kyoto University.
(2) Anticyclotomic p-adic L-functions for modular forms,
Math-Strings seminar, 2012 May 22, IPMU, University of Tokyo.
(3) Anticyclotomic p-adic L-functions for modular forms,
2012 NCTS Japan-Taiwan Joint Conference on Number Theory, 2012 August 29, National Center for Theoretical Sciences, Taiwan.
(4) Indivisibility of L-values,
The 15th Autumn workshop on Number theory, 2012 October 29, Hakuba High Mount Hotel, Nagano, Japan.
(5) Anticyclotomic p-adic L-functions for modular forms,
Seminaire Groupes Reductifs et Formes Automorphes, 2012 October 8, Paris 6, Jussieu.
(6) Anticyclotomic p-adic L-functions for modular forms,
Seminaire d'arithmetique a Lyon, 2012 November 20, ENS de Lyon.
(7) Anticyclotomic p-adic L-functions for modular forms,
Algebraic Number Theory and related topics, 2012 December 3, RIMS (Kyoto University).
(8) Anticyclotomic Iwasawa main conjecture for modular forms,
Mini-Workshop on Arithmetic, 2012 December 17-18, TIMS (National Taiwan University).
(9) CM cycles on Kuga-Sato varieties and vanishing cycles,
Summer Number Theory in Milan, 2013 June 25, Milano University, Italy.
(10) Anticyclotomic Iwasawa main conjecture for modular forms,
Arithmetic Geometry Seminar, 2013 October 11, McMaster University, Canada.
(11) Anticyclotomic Iwasawa main conjecture for modular forms,
Number Theory Seminar, 2013 October 16, University of Toronto, Canada.
(12) Anticyclotomic Iwasawa main conjecture for modular forms,
The 16th Autumn Workshop on Number Theory, 2013 November 8, Hakuba High Mount Hotel.
(13) Anticyclotomic p-adic L-functions and Iwasawa main conjecture for modular forms,
Arithmetic Geometry Seminar, 2013 December 24--25, Hokkaido University.
(14) Introduction to Beilinson conjecture for modular forms,
NCTS Number Theory Seminar, 2014 January, National Taiwan University.
(15) Anticyclotomic Iwasawa main conjecture for modular forms,
East Asia Number Theory Conference, 2012 January 21, Nishijin Plaza, Fukuoka.
(16) Selmer groups and central L-values for modular forms,
Number Theory Seminar, 2014 January 30, Muroran Institute of Technology.
(17) Central L-values for modular forms and CM cycles on Kuga-Sato varieties,
Seminaire d'arithmetique a Lyon, 2014 February 25, ENS de Lyon.
(18) Explicit regulators for Rankin-Selberg products of higher weight modular forms,
p-adic variation in number theory, 2014 June 5, Boston University.
Number theory, especially, Special values of L-functions and Iwasawa theory.
Conferences and trips
Visit to Professor Jan Nekovar (Jussieu), 2012 June 12-- 2013 July 31, Paris.
Visit to Taiwan, 2012 December 13 -- 19, TIMS (National Taiwan University).
Schneider 60, 2013 January 6 --12, Munster, German.
University of Toronto, 2013 October 8 -- 19.
Visit to Ming-Lun Hsieh, 2014 January 10 -- 18, National Taiwan University.
Visit to Paris and Lyon, 2014 February 11 -- March 3, ENS de Lyon.
p-adic vaniation in Number Theory (Stevens 60), 2014 June 2 -- 6, Boston University.
Summer School on Gan-Gross-Prasad conjecture, 2014 June 18 -- 27, Jussieu.
Visit to Lyon, 2014 June 28 -- July 2, ENS de Lyon.
Japan-Taiwan Joint Conference on Number Theory 2014, 2014 September 1 -- 6.
Visit to Taiwan, 2014 September 7 -- 13, National Taiwan University.