中文 Tsinghua University Access to the old version Talent Recruitment

Yang Xiaokui

  • Professor
  • Tel:
  • Email: xkyang@mail.tsinghua.edu.cn

Education

Ph.D.,University of California, Los Angeles (UCLA) ,2012.

Working Experience

Professor, Department of Mathematical Sciences / Yau Mathematical Sciences Center, Tsinghua University,2019-date

Professor, Institute of Mathematics, Chinese Academy of Sciences,2016-2018

Associate Professor, Institute of Mathematics, Chinese Academy of Sciences,2015-2016

Assistant Professor, Northwestern University, USA,2012-2015


Teaching

· Complex Geometry

· Geometric Analysis

· Complex Algebraic Geometry


Selected Publications

1. (With L.-D. Zhang) New characterizations for spherical space forms and complex projective spaces.

To appear in Trans. AMS

2. ___________, RC-positivity and the generalized energy density I: rigidity.

J. Differential Geom. 128(2024),1315-1347.

3.(with W.-H. Ou, J. Liu) Projective manifolds whose tangent bundle contains a strictly nef subsheaf.

J. Algebraic Geom. 33(2024), 1-53.

4. (with B.-L. Chen) On  Euler characteristic and fundamental groups of compact manifolds

Math Ann. 381(2021), 1723-1743.

5. ___________,  RC-positivity, vanishing theorems and rigidity of holomorphic maps

J. Inst. Math. Jussieu. 20 (2021), no. 3,1023-1038.

6. ___________, RC-positive metrics on rationally connected manifolds.

Forum Math. Sigma 8(2020), Paper no 53.

7. (with D. Li, W.-H. Ou) On projective varieties with strictly nef tangent bundles.

J. Math. Pures Appl. 128 (2019), 140-151.

8. ___________, A partial converse to the Andreotti-Grauert theorem.

Compositio Math. 155 (2019), 89-99.

9. ___________, Scalar curvature on compact complex manifolds.

Tran. Amer. Math. Soc. 371 (2019), 2073-2087.

10.___________, RC positivity, rational connectedness and Yau's conjecture.

Camb. J. Math. 6 (2018), 183-212.

11. (with V. Tosatti, B. Weinkove), The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits.

Amer. J. Math. 140 (2018), 653-698.

12. (with B.-L. Chen) Compact Kähler manifolds homotopic to negatively curved Riemannian manifolds.

Math. Ann. 370 (2018), 1477-1489.

13. (with V. Tosatti), An extension of a theorem of Wu-Yau.

J. Differential Geom. 107 (2017), 573-579.

14.__________, Big vector bundles and compact complex manifolds with semi-positive tangent bundle.

Math. Ann. 267 (2017), 251-282.

15. (with K.-F. Liu), Ricci curvatures on Hermitian manifolds.

Tran. Amer. Math. Soc. 369 (2017), 5157-5196.

16. (with V. Tosatti, Y. Wang, B. Weinkove) C2,αestimates for nonlinear elliptic equations in complex and almost complex geometry.

Calc. Var. PDE. 54 (2015), 431-453.

17. (with V. Tosatti, B. Weinkove) Collapsing of the Chern-Ricc