# Kewei Zhang 张科伟

### kwzhang@pku.edu.cn

I am a lecturer at Beijing Normal University.

I was a postdoc at the Beijing International Center for Mathematical Research during 2019-2021.

I completed my PhD in 2019 at Peking University, China.

My interest lies in complex geometry, algebriac geometry and geometric PDE.

## Publications and preprints

• K. Zhang, A quantization proof of the uniform Yau-Tian-Donaldson conjecture,
arXiv:2102.02438, 2021.

• K. Zhang, Valuative invariants with higher moments,
arXiv:2012.04856, 2020.

• K. Zhang, Stability threshold and canonical metrics,
available here, to appear in Surveys in Geometric Analysis 2020, Science Press Beijing.

• Y.A. Rubinstein, G. Tian, K. Zhang, Basis divisors and balanced metrics, arXiv:2008.08829, 2020, to appear in J. Reine Angew. Math.

• Y.A. Rubinstein, K. Zhang, Angle deformation of Kähler–Einstein edge metrics on Hirzebruch surfaces,
arXiv:2011.12666, 2020, to appear in Pure Appl. Math. Q.

• K. Zhang, The greatest Ricci lower bound and stability threshold,
available here, Surveys in Geometric Analysis 2019, Science Press Beijing.

• K. Zhang, Continuity of delta invariants and twisted Kähler--Einstein metrics,
arXiv:2003.11858, 2020.

• K. Zhang, C. Zhou, Delta invariants of projective bundles and projective cones of Fano type,
arXiv:2003.06839, 2020, to appear in Math. Z.

• K. Zhang, On the optimal volume upper bound for Kahler manifolds with positive Ricci curvature, arXiv:2001.04169, 2020, to appear in Int. Math. Res. Not. IMRN.

• K. Zhang, Bounding the volume of Kähler manifolds with positive Ricci curvature, 2019,
available here, submitted.

• K. Zhang, Some refinements of the partial C^0 estimate, arXiv:1911.11328, 2019, to appear in Analysis & PDE

• K. Fujita, Y. Liu, H. Suess, K. Zhang and Z. Zhuang, On the Cheltsov–Rubinstein conjecture, arXiv:1907.02727, 2019.

• Y.A. Rubinstein, K. Zhang, Small angle limits of Hamilton's footballs, Bull. Lond. Math. Soc. 52 (2020), no. 1, 189–199.

• I.Cheltsov, K.Zhang, Delta invariants of smooth cubic surfaces, Eur. J. Math. 5 (2019), 729-762.
• I.Cheltsov, Y.Rubinstein, K.Zhang, Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces, Selecta Math. (N.S.) 25 (2019), Art. 34, 36 pp.

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## Unpublished notes

• K. Zhang, A note on filtrations and chow Stability, 2021,
available here.
• K. Zhang, The delta invariants of projective bundles, 2020,
available here.
• K. Zhang, A remark on alpha_G invariant, 2019, notes,
available here.

• K. Zhang, Stability thresholds of Fano T-varieties of complexity one, 2018, notes, available here.