• Yichao Tian (田一超)

    Office: MCM Building(晨兴楼) 309
    Research interest: Arithmetic algebraic geometry

 I am now a faculty member at the Moringside Center of Mathematics, AMSS, Chinese Academy of Sciences. I am working on arithmetic algebraic geometry, and particularly interested in p-divisible groups, p-adic Hodge theory, p-adic modular forms, and the geometry of Shimura varieties in characteristic p. Here is my CV.  

Address: Morningside Center of Mathematics, No. 55, Zhongguancun East Road, Beijing, 100190, China

Publication and Prepublication: 

1. Finiteness and duality for the cohomology of prismatic crystals, preprint in 2021, arxiv:2109.00801.

2. Deformations of rigid conjugate self-dual Galois representations, (joint with Yifeng Liu, Liang Xiao, Wei Zhang, Xinwen Zhu), preprint in 2021, arxiv:2108.06998.

3. On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives (Joint with Yifeng Liu, Liang Xiao, Wei Zhang, Xinwen Zhu), arXiv:1912.11942, submitted. 

4. Supersingular locus of Hilbert modular varieties, arithmetic level raising, and Selmer groups (Joint with Yifeng Liu), Algebra and Number Theory, Vol. 14 (2020), No. 8, 2059–2119. 

5. Tate cycles on some quaternionic Shimura varieties mod p (Joint with Liang Xiao), Duke Math. Journal, Vol. 168, No. 9 (2019), 1551-1639. 

6. On Tate conjecture for the special fibres of some unitary Shimura varieties (Joint with David Helm and Liang Xiao), Algebra and Number Theory, 11 (2017), 2213-2288. 

7. p-adic cohomology and classicality of overconvergent Hilbert modular forms (Joint work with Liang Xiao), Ast´erisques 382 (2016), 73-162. 

8. On Goren-Oort stratification for quaternionic Shimura varieties (Joint work with Liang Xiao), Compostio Math., Vol. 152 (2016), 2134-2220. 

9. Modularity lifting theorem in parallel weight one and applications to the Artin conjecture: the tamely ramified case (Joint work with Payman Kassaei and Shu Sasaki), Forum of Math. Sigma, Vol. 2, 2014, e 18, p.58. 

10. Classicality of overconvergent Hilbert eigenforms: Case of quadratic residue degree, Rendiconti del Seminario Matematico della Universit`a di Padova, Vol. 132, 2014, 133-229. 

11. An upper bound on the ramification filtration of finite group schemes and applications, Algebra and Number Theory, Vol. 6, No. 2 (2011), 231-242. 

12. Canonical subgroups of Barsotti-Tate groups, Annals of Math., 172 No.2 (2010), 955-988.

13. p-adic monodromy of the universal deformation of a HW-cyclic Barsotti-Tate group, Documenta Math. 14 (2009), 397-440.

Notes not destinated for publication: 

1. Faisceaux Pervers, A student seminar talk in a course of Luc Illusie, 2004-2005.

2. Classification des schemas en groupes d'ordre p (d'apres Oort-Tate), A seminar talk in University Paris 13 around 2008.

3. Calculs des Ext^i d'un groupe et module de Dieudonne, A seminar talk in University Paris 13 around 2005.

4. De la ramification aux sous-groupes canoniques, A talk at a conference at Roscoff, 2009.

5. Notes on Tate's Thesis, Notes for a course at Tsinghua Summer School, 2011.

6. Lectures on Algebraic Number Theory, Notes for a course at Tsinghua, 2014.

P.h. D. Thesis: 

Sous-groupes canoniques et monodromie p-adiques des groupes de Barsotti-Tate, under the supervision of Professor Ahmed Abbes, defended on November 19th, 2007 at University Paris 13.