Yang Xiaokui


Yau Mathematical Science Center, Tsinghua University

Office: Jing Zhai 211


Research Areas

lie at the intersection of several mathematical disciplines, such as differential

I recieved my Ph.D. from University of California, Los Angeles (UCLA) in 2012.

Work Experience

2012-2015, Northwestern University (United States), Boas Assistant Professor


Selected Publications

(2021), no. 3-4, 1723-1743. 2. ___________, RC-positivity, vanishing theorems and rigidity of holomorphic maps

J. Inst. Math. Jussieu. 20(2020), Paper no 53.

4. ___________, Scalar curvature, Kodaira dimension and A-genus.

Math. Z. 295 (2019), 140-151.

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

Compositio Math. 155 (2019), 2073-2087.

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

Camb. J. Math. 6 (with V. Tosatti, B. Weinkove), The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits.

Amer. J. Math. 140Kähler (2018), 1477-1489.

11. (with F.-Y. Zheng), On real bisectional curvature for Hermitian manifolds.

Tran. Amer. Math. Soc. 371 (2017), 573-579.

13.__________, (2017), 251-282.

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

Tran. Amer. Math. Soc. 369.

Math. Res. Lett. 23 (with V. Tosatti, Y. Wang, B. Weinkove)2,α.

Calc. Var. PDE. 54 (with V. Tosatti, B. Weinkove) Collapsing of the Chern-Ricci flow on elliptic surfaces.

Math. Ann. 362 (with K.-F. Liu, S. Rao) Quasi-isometry and deformations of Calabi-Yau manifolds.

Invent. Math. 199 (with K.-F. Liu) Curvatures of direct image sheaves of vector bundles and applications I.

J. Differential Geom. 98 (with K.-F. Liu, X.-F. Sun) Positivity and vanishing theorems for ample vector bundles.

J. Algebraic Geom. 22 (2013), 303-331.