**Academic
page**

**Research
interest: Algebraic number theory with emphasis on arithmetic of
L-values**

**Research
papers
**

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

Submitted. [pdf] (arXiv:1906.10474)

We construct the four variable p-adic triple product
L-functions attached to Hida families in the balanced

case. As an application, we prove the trivial zero conjecture for the triple product of elliptic curves.

15. Bessel periods and anticylotomic p-adic
spinor L-functions. (with Shunsuke Yamana)

Preprint. [pdf] (arXiv:1810.03231)

14. On the non-vanishing of generalized
Kato classes for elliptic curves of rank two. (with F. Castella)

Submitted. [pdf] (arXiv:1809:09066) (Revised on 03/20/19)

We prove the first cases of a conjecture of Darmon-Rotger on the non-vanishing of

non-vanishing of generalized Kato class implies the p-Selmer rank of ellpitic curve is two.

**13. Hida families and p-adic triple product
L-functions.
**

**
American Journal of Mathematics, to appear. [pdf]
(arXiv:1705.02717)
**

**
Ann. Math. Québec., 42(2018), no. 2, 215-253. [pdf]
**

**11.
Special values of anticyclotomic L-functions for modular forms. (with
M. Chida)**

**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 μ-invariant of
anticyclotomic p-adic L-functions for CM fields.**

**
***J. reine angew. Math.,* 688 (2014),
67-100. [**pdf]
(Revised on 02/21/16)
**

**4****. The vanishing of the μ-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**

**Derivatives of p-adic triple product L-series and p-adic heights of diagonal cycles (with S. Yamana)**

**Students**

Hung,
Pin-Chi
洪斌哲 (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 鄭堯 (NTU, May 2018) **

**Ph.D. thesis: Special value formulae for triple product
L-functions and the applications
**

Chen, **Shih-Yu 陳昰宇
(NTU, May 2018) **

Ph.D. **thesis:
Pull-back formulas of nearly holomoprhic Saito-Kurokawa lifts**

**Itinerary**

RIMS conference "Analytic, geometric and p-adic aspects of automorphic forms and L-functions", Kyoto, Jan. 20-24, 2020

Regulator 2019, Niseko, Sep. 8--13, 2019

Recent advances in the arithmetic of Galois representation, Genova, July 15-19, 2019

Iwasawa 2019, Bordeaux, June 19-29, 2019

p-adic modular forms and p-adic L-functions, Villa del Grumello, Lake Como, May 20-24, 2019

AMS Sectional Meeting, Special Session: “Advances in Iwasawa Theory”, Honolulu, March 22-24, 2019

** **

**Links**