Home Page of Masataka Chida.

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 Hecke characters over imaginary quadratic fields  in preparation.

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

Selmer groups and central values of L-functions for modular forms   to appear in Annales de l'Institut Fourier.

Regulators for Rankin-Selberg products of modular forms   (joint work with François Brunault) Annales des Sciences Mathématiques du Québec 40 (2016), 221--249, Special issue marking the 60th birthday of Glenn Stevens.



Japanese Article

Master Thesis (2004/1/22) (dvi file) (in Japanese)

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)

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)


Recent talks

 

(1) Comparison of periods and R=T theorems,

Conference : p-adic methods in arithmetic geometry at Sendai 2016, 2016 November 1, Katahira campus, Tohoku University.

(2) Conjectures on cyclotomic p-adic L-functions for motives,

Conference : Special values of automorphic L-functions and associated p-adic L-functions, 2016 September 19, Kajika-so, Miyama (Kyoto).

(3) CM cycles and Bloch-Kato conjecture for modular forms,

Small workshop in Number Theory, 2015 December 14, Fudan University, Shanghi.

 


Research interests

 

Number theory, especially, Special values of L-functions and Iwasawa theory.

 


Conferences and trips

 

Intensive lecture by Noriyuki Abe, 2016 November 7 -- 11, Tokyo.

Workshop on Shimura varieties, representation theory and related topics, 2015 November 21 -- 25, Kyoto.

Algebraic Number Thoery and related topics, 2015 November 28 -- December 2, Kyoto.

 


 

Link

 

Proceedings of Workshop on Heegner points and Gross-Zagier formula

Ken Ono

Matthias Flach

Henri Darmon

Jan Nekovar

 


 


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