Tian Ye (田野)
Elliptic Curve, Automorphic Form, BSD Conjecture, L-Function, Relative Trace Formula

Address: No. 55, Zhongguancun East Road, Beijing 100190, CHINA

Tel: 86-10-82541997

Email: ytian@math.ac.cn
Education

    1989.9-1996.7, Sichuan University, Bachelor of Science and Master of Science
    1996.9-1998.7, University of Science and Technology in China, Doctoral Study
    1998.9-2003.5, Columbia University, Ph.D. (Adviser: Prof. Shouwu Zhang)

Professional Experience

    2003-2004, Institute for Advanced Study in Princeton，Membership (Mentor: Prof. A.Wiles)
    2004-2006, McGill University, Post-Doctorate (Coparter: Prof. H.Darmon)
    2006-now, Morningside Center of Mathematics & Academy of Mathematics and System Science, Chinese Academy of Sciences, Researcher

Awards

    2007, Morningside Silver Medal of Mathematics by ICCM
    2010, Prominent Teacher Award by AMSS
    2011, National Award for Youth in Science and Technology by CAST
    2013, Morningside Gold Medal of Mathematics by ICCM
    2013, Ramanujan Prize by ICTP & IMU

Papers

    A.A. Burungale, Ye Tian, p-converse to a theorem of Gross–Zagier, Kolyvagin and Rubin. Invent. Math. 220 (2020), no. 1, 211–253.
    A.A. Burungale, Ye Tian, Horizontal non-vanishing of Heegner points and toric periods. Adv. Math. 362 (2020), 106938, 35 pp.
    Li Cai, Jie Shu, Ye Tian, Cube sum problem and an explicit Gross-Zagier formula, Amer. J. Math. 139 (2017), no. 3, 785–816.
    Ye Tian, Xinyi Yuan, Shouwu Zhang, Genus periods, Genus Points and Congruent number problem, Asian J. Math. 21 (2017), no. 4, 721–773.
    Ye Tian, Congruent Number Problems，ICCM Not. 5 (2017), no. 1, 51–61.
    Ye Tian, Congruent number problem, Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. I, 135–151, Adv. Lect. Math. (ALM), 36, Int. Press, Somerville, MA, 2017.
    John Coates, Yongxiong Li, Ye Tian, Shuai Zhai, Quadratic twists of elliptic curves, Proc. Lond. Math. Soc. (3) 110 (2015), no. 2, 357–394.
    Li Cai, Jie Shu, Ye Tian, Explicit Gross-Zagier and Waldspurger formulae, Algebra Number Theory 8 (2014), no. 10, 2523–2572.
    Li Cai, Jie Shu, Ye Tian, Explicit Gross-Zagier and Waldspurger formulae, Algebra Number Theory 8 (2014), no. 10, 2523–2572.
    Ye Tian, Congruent numbers and Heegner points, Cambridge Journal of Mathematics, Vol 2 (2014), Number 1, 117–161
    Ye Tian, Congruent Numbers with many prime factoirs, PNAS, Vol 109 (2012), no. 52. 21256-21258.
    Jian-Shu Li, Binyong Sun, Ye Tian, The multiplicity one conjecture for local theta correspondences. Invent math (2011) 184: 117-124
    Henri Darmon, Ye Tian, Heegner points over towers of Kummer extensions. Canad. J. Math. 62 (2010), no. 5, 1060–1081
    Ye Tian, Twisted Fermat curves over totally real fields. II. Geometry, analysis and topology of discrete groups, 440–453, Adv. Lect. Math. (ALM), 6, Int. Press, Somerville, MA, 2008.
    Ye Tian, Rational Points on Modular Abelian Varieties, ICCM 2007. Vol I. 496-511.
    Adrian Diaconu, Ye Tian, Twisted Fermat curves over totally real fields. Ann. of Math. (2) 162 (2005), no. 3, 1353–1376.
    Ye Tian, Euler Systems of CM Points on Shimura Curves. Thesis. Columbia University. 2003.
    Delang Li, Ye Tian, On the Birch-Swinnerton-Dyer conjecture of elliptic curves ED:y2=x3-D2.  Acta Math. Sin. (Engl. Ser.) 16 (2000), no. 2, 229–236.