Members----Morningside Center of Mathematics Chinese Academy of Sciences

Members

Ye Tian (田野)

Email: ytian@math.ac.cn
Office: MCM Building(晨兴楼) 605
Research interest: Elliptic Curve, Automorphic Form, BSD Conjecture, L-Function, Relative Trace Formula

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

Tel: 86-10-82541997

Education

1998.9-2003.5, Columbia University, Ph.D. (Adviser: Prof. Shouwu Zhang)

1996.9-1998.7, University of Science and Technology in China, Doctoral Study

1989.9-1996.7, Sichuan University, Bachelor of Science and Master of Science

Professional Experience

2006-now, Morningside Center of Mathematics & Academy of Mathematics and System Science, Chinese Academy of Sciences, Researcher

2004-2006, McGill University, Post-Doctorate (Coparter: Prof. H.Darmon)

2003-2004, Institute for Advanced Study in Princeton，Membership (Mentor: Prof. A.Wiles)

Awards

1.2021, The Second Prize of the National Natural Science Award

2.2018, Annual Innovative Person of Chinese Academy of Sciences

3.2020, Shiing-Shen Chern Mathematics Award

4.2013, Ramanujan Prize by ICTP & IMU

5.2013, Morningside Gold Medal of Mathematics by ICCM

6.2011, National Award for Youth in Science and Technology by CAST

7.2010, Prominent Teacher Award by AMSS

8.2007, Morningside Silver Medal of Mathematics by ICCM

Papers

1.Burungale Ashay(1-CAIT-NDM), Ye Tian(PRC-ASBJ-ASY), The even parity Goldfeld conjecture: congruent number elliptic curves. (English summary) J. Number Theory 230 (2022), 161–195.

2.A.A. Burungale, Ye Tian, p-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin. Invent. Math. 220 (2020), no. 1, 211–253.

3.A.A. Burungale, Ye Tian, Horizontal non-vanishing of Heegner points and toric periods. Adv. Math. 362 (2020), 106938, 35 pp.

4.Ye Tian, Congruent number problem. ICCM Not. 5 (2017), no. 1, 51–61. (Reviewer: Yasutsugu Fujita) 11G05 (11D09 11G40)

5.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. (Reviewer: Amir Akbary) 11G40 (11F67)

6.Ye Tian, Xinyi Yuan, Shouwu Zhang, Genus periods, genus points and congruent number problem. Asian J. Math. 21 (2017), no. 4, 721–773. (Reviewer: Andrew Bremner) 11G40 (11D25 11G05)

7.Li Cai, Jie Shu, Ye Tian, Cube sum problem and an explicit Gross-Zagier formula. Amer. J. Math. 139 (2017), no. 3, 785–816. (Reviewer: Álvaro Lozano-Robledo) 11G05 (14H52)

8.John Coates, Yongxiong Li, Ye Tian, Shuai Zhai, Quadratic twists of elliptic curves, Proc. Lond. Math. Soc. (3) 110 (2015), no. 2, 357–394.

9.Li Cai, Jie Shu, Ye Tian, Explicit Gross-Zagier and Waldspurger formulae, Algebra Number Theory 8 (2014), no. 10, 2523–2572.

10.Ye Tian, Congruent numbers and Heegner points, Cambridge Journal of Mathematics, Vol 2 (2014), Number 1, 117–161

11.Ye Tian, Congruent Numbers with many prime factoirs, PNAS, Vol 109 (2012), no. 52. 21256-21258.

12.Jian-Shu Li, Binyong Sun, Ye Tian, The multiplicity one conjecture for local theta correspondences. Invent math (2011) 184: 117-124

13.Henri Darmon, Ye Tian, Heegner points over towers of Kummer extensions. Canad. J. Math. 62 (2010), no. 5, 1060–1081

14.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.

15.Ye Tian, Rational Points on Modular Abelian Varieties, ICCM 2007. Vol I. 496-511.

16.Adrian Diaconu, Ye Tian, Twisted Fermat curves over totally real fields. Ann. of Math. (2) 162 (2005), no. 3, 1353–1376.

17.Ye Tian, Euler Systems of CM Points on Shimura Curves. Thesis. Columbia University. 2003.

18.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.

Ye Tian (田野)