Preprints

・  The p-adic Gross-Zagier formula for higher weight modular forms at non-ordinary primes. Work in progress. 

・  A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist.  PDF

 Publications

・p-ADIC L-FUNCTIONS AND RATIONAL POINTS ON CM ELLIPTIC CURVES AT INERT PRIME. (With Ashay Burungale and Kazuto Ota.)     

 Journal of the Institute of Mathematics of Jussieu , (2023 ),1-44.   

・A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist I, 

 Annales mathematiques du Quebec, Vol.47, p.73-116, (2023)s 73–116, (2023V)

・Rubin’s conjecture on local units in the anticyclotomic tower at inert primes. (With Ashay Burungale and Kazuto Ota.)     

      Annals of Mathematics (2021), Vol. 194,  Issue 3.  

・ Category of mixed plectic Hodge structures. (With Kenichi Bannai, Kei Hagihara, Kazuki Yamada, Shuji Yamamoto, Seidai Yasuda.)

    Asian J. Math., 24(no.1) 31-76, (2020)

・ Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists. (With Kazuto Ota.)

     Advanced Studies in Pure Mathematics, Development of Iwasawa Theory - the Centennial of K. Iwasawa’s Birth 86 537-594 (2020)

・The radius of convergence of the p-adic sigma function. (With Kenichi Bannai and Seidai Yasuda.)  

      Mathematische Zeitschrift, 286 (2017), no. 1-2, 751--781. 

・Torsion points on Jacobian varieties via Anderson's p-adic Soliton Theory. (With Takao Yamazaki.) 

      Asian Journal of Mathematics, Vol. 20, No. 2 (2016), pp. 323--352.  

・Integral structures on p-adic Fourier theory . (With Kenichi Bannai.) 

      Annales de L’institut Fourier, vol.66, no.1, (2016), 521--550.     

・p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas. 

     (With Kenichi Bannai and Hidekazu Frusho.)   Nagoya math. J. 219 (2015), 269--302. 

・The p-adic height pairing on abelian varieties at non-ordinary primes. 

      In Iwasawa Theory 2012, p.265--290, Contributions in Mathematical and Computational Sciences, Vol. 7, Springer.

 ・The p-adic Gross-Zagier formula for elliptic curves at supersingular primes.  

       Inventiones mathematicae, 191 (2013), 3, 527-629.

・On the real Hodge and p-adic realizations of the elliptic polylogarithm for CM elliptic curves. 

       (With Kenichi Bannai and Takeshi Tsuji.)  

       Annales Scientifiques de l'Ecole normale superieure 43, facicule 2, (2010),185-234.

・Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers.  (With Kenichi Bannai.)

       Duke Math. J. 153 no. 2 (2010), 229-295. 

・An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves. 

       Documenta Mathematica, Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 567-575.

・Iwasawa theory for elliptic curves at supersingular primes.

       Inventiones mathematicae, 152 (2003) 1, 1-36.

・The local root number of elliptic curves with wild ramification.

       Mathematische Annalen, 323 (2002) no.3, 609-623.