**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. Bessel periods and
anticylotomic p-adic spinor L-functions. (with S. Yamana)**

**
Transactions of the American Mathematical Society, to
appear. [pdf]
(arXiv:1810.03231)**

**19. Four variable p-adic
triple product L-functions and the trivial zero conjecture.
(with S. Yamana)**

** Mathematische
Annalen (2024), published
online. [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. Qué*bec, 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. **

**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] **

**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. **

** ****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**

**Development
of Iwasawa Theory (Kurihara60), Keio University, July
22-26, 2024**

**11th NCTS-POSTECH-PMI Joint
Workshop on Number Theory, Seoul, Jan 08-11, 2024**

**
**