Kewei Zhang 张科伟

kwzhang@bnu.edu.cn, kwzhang@pku.edu.cn

I am an associate professor at Beijing Normal University, since 2024.

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.

This is my outdated CV

This is my thesis

Find more on my Bilibili Channel

Publications and preprints

• J. Chu, F. Wang, K. Zhang, The rigidity of eigenvalues on Kähler manifolds with positive Ricci lower bound, arXiv:2401.15830, 2024.

• K. Zhang, The Ricci iteration towards cscK metrics, arXiv:2311.15524, 2023.

• T. Darvas, R. Reboulet, D. Witt Nystrom, M. Xia, K. Zhang, Transcendental Okounkov bodies, arXiv:2309.07584, 2023.

• T. Darvas, M. Xia, K. Zhang, A transcendental approach to non-Archimedean metrics of pseudoeffective classes, arXiv:2302.02541, 2023.

• T. Darvas, K. Zhang, Twisted Kähler-Einstein metrics in big classes, arXiv:2208.08324, 2022.

• Y. Ji, Y.A. Rubinstein, K. Zhang, Eguchi-Hanson metrics arising from Kahler-Einstein edge metrics, arXiv:2111.00652, 2021.

• K. Zhang, A note on filtrations and Chow Stability, 2021, this is the English translation of my Chinese article: Acta Math. Sinica (Chinese Ser.) 65 (2022), no. 6, 1033–1044..

• K. Zhang, A quantization proof of the uniform Yau-Tian-Donaldson conjecture, arXiv:2102.02438, J. Eur. Math. Soc. (2023), DOI 10.4171/JEMS/1373.

• K. Zhang, Valuative invariants with higher moments, arXiv:2012.04856, J. Geom. Anal. 32 (2022), no. 1, Paper No. 10, 33 pp.

• Y.A. Rubinstein, G. Tian, K. Zhang, Basis divisors and balanced metrics, arXiv:2008.08829, J. Reine Angew. Math. 778 (2021), 171–218.

• Y.A. Rubinstein, K. Zhang, Angle deformation of Kähler–Einstein edge metrics on Hirzebruch surfaces, arXiv:2011.12666, Pure Appl. Math. Q. 18 (2022), no. 1, 343–366.

• K. Zhang, Continuity of delta invariants and twisted Kähler--Einstein metrics, arXiv:2003.11858, Adv. Math. 388 (2021), Paper No. 107888, 25 pp.

• K. Zhang, C. Zhou, Delta invariants of projective bundles and projective cones of Fano type, arXiv:2003.06839, Math. Z. 300 (2022), no. 1, 179–207

• K. Zhang, On the optimal volume upper bound for Kahler manifolds with positive Ricci curvature, arXiv:2001.04169, Int. Math. Res. Not. IMRN 2022, no. 8, 6135–6156.

• K. Zhang, Some refinements of the partial C^0 estimate, arXiv:1911.11328, Anal. PDE 14 (2021), no. 7, 2307–2326.

• K. Fujita, Y. Liu, H. Suess, K. Zhang and Z. Zhuang, On the Cheltsov–Rubinstein conjecture, arXiv:1907.02727, Springer Proc. Math. Stat., 409 Springer, Cham, 2023, 865–883.

• Y.A. Rubinstein, K. Zhang, Small angle limits of Hamilton's footballs, arXiv:1905.00865, Bull. Lond. Math. Soc. 52 (2020), no. 1, 189–199.

• I.Cheltsov, Y.Rubinstein, K.Zhang, Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces, arXiv:1807.07135, Selecta Math. (N.S.) 25 (2019), Art. 34, 36 pp.

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Survey articles

• K. Zhang, The optimal exponent of certain Moser-Trudinger type inequalities on projective manifolds, preprint, Surveys in Geometric Analysis 2021, Science Press Beijing.

• K. Zhang, Stability threshold and canonical metrics, preprint, Surveys in Geometric Analysis 2020, Science Press Beijing.

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

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Notes and Slides

• Analytic thresholds, canonical metrics and Okounkov bodies, 2024, slides.

• The Ricci iteration towards cscK metrics, 2023, slides.

• Convex bodies associated to Kähler manifolds, 2023, slides.

• A pluripotential proof of the uniform YTD conjecture, 2022, slides.

• Lectures on the quantization proof of the uniform YTD conjecture, 2022, slides.

• The delta invariants of projective bundles, 2020, draft.

• Bounding the volume of Kähler manifolds with positive Ricci curvature, 2019, draft.

• A remark on alpha_G invariant, 2019, notes.

• Stability thresholds of Fano T-varieties of complexity one, 2018, draft.

Teaching

Complex Geometry, Summer School of BICMR, 2021.

Calculus, Undergraduate course at BNU, 2022.

Complex Analysis, Undergraduate course at BNU, 2023.

Undergraduate Algebraic Geometry, Undergraduate course at BNU, 2023.