Research Fellow and Deputy Director |   Hsieh, Ming-Lun
Contact Information
• mlhsieh$\color{red}{@}$math.sinica.edu.tw
• +886 2 2368-5999 ext. 710
• +886 2 2368-9771
Research Interests
• Number Theory
Education
• Ph.D. in Mathematics Columbia University, New York, USA (2003/9 - 2008/5)
• M.S., Mathematics National Taiwan University, Taipei, Taiwan (1998/9 - 2000/6)
• B.A., Mathematics National Taiwan University, Taipei, Taiwan (1994/9 - 1998/6)

Work Experience
• Research Fellow Academia Sinica 2016/8-present
• Professor (joint appointment) National Taiwan University 2016/8 - present
• Associate Professor National Taiwan University 2013/8 - 2016/7
• Assistant Professor National Taiwan University 2009/8 - 2013/7
• Post-Doctorate Fellow Mcmaster University , Canada 2008/8 - 2009/6

Research Descriptions

My research interest is p-adic methods in algebraic number theory and  automorphic forms.

Selected Publications
1. (with Masataka Chida) "The derivative formula of p-adic L-functions for imaginary quadratic fields at trivial zeros" , Ann. Math. Québec (Special birthday issue for Bernadette Perrin-Riou) , to appear.
2. (with Shunsuke Yamana) "Base change and triple product $L$-series" , Representation Theory , 26, 402-431, 2022.
3. (with Francesc Castella) "On the non-vanishing of generalized Kato classes for elliptic curves of rank two" , Forum of Mathematics, Sigma , 10, e12, 1-32, 2022.
4. (with Shunsuke Yamana) "Restriction of Eisenstein series and Stark-Heegner points" , Journal de Théorie des Nombres de Bordeaux (Iwasawa 2019 special issue) , 33 (3.2), 887-944, 2021.
5. "Hida families and $p$-adic triple product $L$-functions" , American Journal of Mathematics , 143 (2), 411-532, 2021.
6. (with Shih-Yu Chen) "On primitive $p$-adic Rankin-Selberg $L$-functions" , Development of Iwasawa theory - The Centennial of K. Iwasawa's Birth, Advanced Studies in Pure Mathematics , 86 (11), 195-242, 2020.
7. (with Kenichi Namikawa) "Inner product formula for Yoshida lifts" , Ann. Math. Québec. , 42 (2), 215-253, 2018.
8. (with Francesc Castella) "Heegner cycles and p-adic L-functions" , Mathematische Annalen , 370 (1-2), 567-628, 2018.
9. (with Masataka Chida) "Special values of anticyclotomic L-functions for modular forms" , J. reine angew. Math. , 741, 87-131, 2018.
10. (with Kenichi Namikawa) "Bessel periods and the non-vanishing of Yoshida lifts modulo a prime" , Mathematische Zeitschrift , 285 (3), 851-878, 2017.
11. (with Masataka Chida) "On the anticyclotomic Iwasawa main conjecture for modular forms" , Compositio Mathematica , 151 (5), 863-897, 2015.
12. "Special values of anticyclotomic Rankin-Selberg L-functions" , Documenta Mathematica , 19, 709-767, 2014.
13. "Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields" , Journal of the American Mathematical Society , 27 (3), 753-862, 2014.
14. "On the $\mu$-invariant of anticyclotomic p-adic L-functions for CM fields" , J. reine angew. Math. , 688, 67-100, 2014.
15. (with Ashay Burungale) "The vanishing of the $\mu$-invariant of p-adic Hecke L-functions for CM fields" , IMRN (5), 1014-1027, 2013.
16. "On the non-vanishing of Hecke L-values modulo p" , American Journal of Mathematics , 134 (6), 1503-1539, 2012.
17. "Ordinary p-adic Eisenstein series and p-adic L-functions for unitary groups" , Annales de l'Institut Fourier , 61 (3), 987-1059, 2011.
18. "On the algebraic functional equation of Selmer group for CM fields" , Journal of Number theory , 130, 1914-1924, 2010.