Preprints
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 II.
・ 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 II.
・The p-adic valuation of local resolvents, generalized Gauss sums and anticyclotomic Hecke L-values of imaginary quadratic fields at inert primes. (With A. Burungale and K. Ota), To appear in American J. Math.
・ Kato's epsilon conjecture for anticyclotomic CM deformations at inert primes,
(With Ashay A. Burungale, Shinichi Kobayashi, Kazuto Ota, Seidai Yasuda.)
Journal of Number Theory, Aug, 2024
・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.