Academic page
Research interest: Algebraic number theory with emphasis on arithmetic of L-values
Research papers
22. Five variable p-adic
L-functions for U(3)xU(2). (with S. Yamana)
Submitted. [pdf] (arXiv:2311.17661)
21. CM congruence and trivial zeros of the Katz p-adic L-functions for CM fields. (with Adel Betina)
Submitted. [pdf]
(arXiv:2202.07286)
20. Four variable p-adic triple product L-functions and the trivial zero conjecture. (with S. Yamana)
Mathematische
Annalen, 390(2024), no.1, 889-976. [pdf]
19. Bessel periods and anticylotomic p-adic spinor L-functions. (with S. Yamana)
Transactions of the American Mathematical Society, 377
(2024), no.8, 5617-5672. [pdf]
18. The derivative formula of p-adic L-functions for imaginary quadratic fields at trivial zeros. (with M. Chida)
Ann. Math. Québec (Special birthday issue for Bernadette Perrin-Riou), 47(2023), no.1, 1-30. [pdf]
17. Base change and triple product L-series (with S. Yamana)
Representation Theory, 26 (2022), 402-431. [pdf]
16. On the non-vanishing of generalized Kato classes for elliptic curves of rank two. (with F. Castella)
Forum of Mathematics, Sigma, 10(2022), e12, 32.pp. [pdf]
15. Restriction of Eisenstein series and Stark-Heegner points (with Shunsuke Yamana)
Journal de Théorie des Nombres de Bordeaux (Iwasawa 2019 special issue), 33(2021) no. 3.2, pp. 887-944. [pdf]
14. Hida families and p-adic triple product L-functions.
American Journal of Mathematics, 143(2021), no. 2, 411-532. [pdf]
13. On primitive p-adic Rankin-Selberg L-functions. (with Shih-Yu Chen)
Development of Iwasawa theory - The Centennial of K. Iwasawa's Birth, ASPM(2020), vol.86, 195-242. [pdf]
12. Inner product formula for Yoshida lifts. (with K. Namikawa)
Ann. Math. Québec, 42(2018), no. 2, 215-253. [pdf]
11. Special values of anticyclotomic L-functions for modular forms. (with M. Chida)
J. reine angew. Math., 741(2018), 87-131. [pdf]
10. Heegner cycles and p-adic L-functions. (with Francesc Castella)
Mathematische Annalen, 370(2018), no. 1-2, 567-628. [pdf] (Revised on 10/11/18) erratum.
9. Bessel periods and the non-vanishing of Yoshida lifts modulo a prime. (with Kenichi Namikawa)
Mathematische Zeitschrift, 285(2017), no. 3, 851-878. [pdf]
8. On the anticyclotomic Iwasawa main conjecture for modular forms. (with Masataka Chida)
Compositio Mathematica, 151(2015), no. 5, 863-897. [pdf] (Revised on 12/20/14) erratum.
7. Special values of anticyclotomic Rankin-Selberg L-functions.
Documenta Mathematica, 19(2014), 709-767. [pdf]
6. Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields.
Journal of the American Mathematical Society, 27(2014), no. 3, 753-862. [pdf]
5. On the mu-invariant of anticyclotomic p-adic L-functions for CM fields.
J. reine angew. Math., 688(2014), 67-100. [pdf] (Revised on 07/12/21)
4. The vanishing of the mu-invariant of p-adic Hecke L-functions for CM fields. (with Ashay Burungale)
IMRN, no. 5(2013), 1014-1027. [pdf]
3. On the non-vanishing of Hecke L-values modulo p.
American Journal of Mathematics, 134(2012), no. 6, 1503-1539. [pdf]
2. Ordinary p-adic Eisenstein series and p-adic L-functions for unitary groups.
Annales de l'Institut Fourier, 61(2011), no. 3, 987-1059. [pdf] (Ph.D. thesis)
1. On the algebraic functional equation of Selmer group for CM fields.
Journal of Number theory, 130(2010), 1914-1924. [pdf] (Revised on 03/05/12)
Work in
Progress
Central derivatives of p-adic triple product L-series and p-adic heights of diagonal cycles (with S. Yamana)
Eisenstein congruence for GU(2,1) and higher derivatives of Katz p-adic L-functions for CM fields (with Adel Betina)
On p-adic L-functions for U(2,1) x U(1,1) (with M. Harris and S. Yamana)
Ph.D.
students
Hung, Pin-Chi (NCU, May 2014)
Ph.D. thesis: Some results on the non-vanishing of central L-values
Wang, Haining (PSU, Oct. 2015, co-advised with Winnie Li)
Ph.D. thesis: Anticyclotomic Iwasawa theory for Hilbert modular forms.
Ishikawa, Isao (Kyoto U, March 2017, co-advised with Tetsushi Ito)
Ph.D. thesis: On the construction of twisted triple product p-adic L-functions
Cheng, Yao (NTU, May 2018)
Ph.D. thesis: Special value formulae for triple product L-functions and the applications
Ph.D. thesis: Pull-back formulas of nearly holomoprhic Saito-Kurokawa lifts
ItineraryDevelopment of Iwasawa Theory (Kurihara60), Keio University, July 22-26, 2024
11th NCTS-POSTECH-PMI Joint Workshop on Number Theory, Seoul, Jan 08-11, 2024