Institute Of Mathematics
Academia Sinica
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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)
Links
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 Shunsuke Yamana) "Restriction of Eisenstein series and Stark-Heegner points" , Journal de Théorie des Nombres de Bordeaux (Iwasawa 2019 special issue) , to appear.
  2. "Hida families and $p$-adic triple product $L$-functions" , American Journal of Mathematics , 143 (2), 411-532, 2021. http://arxiv.org/
  3. (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.
  4. (with Namikawa Kenichi) "Inner product formula for Yoshida lifts" , Ann. Math. Québec. , 42 (2), 215-253, 2018.
  5. (with Francesc Castella) "Heegner cycles and p-adic L-functions" , Mathematische Annalen , 370 (1-2), 567-628, 2018.
  6. (with Masataka Chida) "Special values of anticyclotomic L-functions for modular forms" , J. reine angew. Math. , 741, 87-131, 2018.
  7. (with Namikawa Kenichi) "Bessel periods and the non-vanishing of Yoshida lifts modulo a prime" , Mathematische Zeitschrift , 285 (3), 851-878, 2017.
  8. (with Masataka Chida) "On the anticyclotomic Iwasawa main conjecture for modular forms" , Compositio Mathematica , 151 (5), 863-897, 2015.
  9. "Special values of anticyclotomic Rankin-Selberg L-functions" , Documenta Mathematica , 19, 709-767, 2014.
  10. "Eisenstein congruence on unitary groups and Iwasawa main conjectures for CM fields" , Journal of the American Mathematical Society , 27 (3), 753-862, 2014.
  11. "On the $\mu$-invariant of anticyclotomic p-adic L-functions for CM fields" , J. reine angew. Math. , 688, 67-100, 2014.
  12. (with Ashay Burungale) "The vanishing of the $\mu$-invariant of p-adic Hecke L-functions for CM fields" , IMRN (5), 1014-1027, 2013.
  13. "On the non-vanishing of Hecke L-values modulo p" , American Journal of Mathematics , 134 (6), 1503-1539, 2012.
  14. "Ordinary p-adic Eisenstein series and p-adic L-functions for unitary groups" , Annales de l'Institut Fourier , 61 (3), 987-1059, 2011.
  15. "On the algebraic functional equation of Selmer group for CM fields" , Journal of Number theory , 130, 1914-1924, 2010.
Director & Deputy Director