郑志伟 - 清华大学 - 丘成桐数学科学中心

个人简介

Experience 09/2022–: Assistant Professor, Yau Mathematical Sciences Center, Tsinghua University 09/2021–08/2022: Assistant Research Fellow, Yanqi Lake Beijing Institute of Mathematical Sciences and Applications 10/2019–07/2021: Postdoc, Max Planck Institute at Bonn, Germany. Mentor: Daniel Huybrechts 08/2014–07/2019: Ph.D in Pure Mathematics, Tsinghua University, China. Advisor: Eduard Looijenga 01/2018-07/2018: Visiting Scholar, Math Department, Stony Brook University, USA. Mentor: Radu Laza 08/2010–07/2014: Bachelor of Science, Tsinghua University, China 02/2013-07/2013: Exchange Student at école Normale Supérieure, France Honors and Awards 01/2018–07/2018: Tsinghua Scholarship for Overseas Graduate Studies 2017: Excellent Postgraduate Award, Yau Mathematical Sciences Center 08/2014–07/2019: Tsinghua Future Scholar Scholarship 07/2014: Bachelor with distinction 10/2013: National Scholarship 10/2012: Academic Outstanding Award 08/2010–07/2014: Member of Xuetang Program of Tsinghua University 07/2009: Gold Medal of 50th International Mathematical Olympic, Germany 01/2009: Gold Medal at National Math Olympic, China

研究领域

Algebraic geometry, complex geometry, algebraic topology, lattice theory and finite group theory. In particular, the constructions (via geometric invariant theory, Hodge theory or methods from minimal model program) of moduli spaces and their compactifications, automorphisms of K3 surfaces/cubics/hyper-Kähler manifolds, application of lattice theory in algebraic geometry, constructions of Calabi-Yau manifolds with interesting Hodge structures, etc.

近期论文

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Degenerations to secant cubic hypersurfaces and limiting Hodge structure (with Renjie Lyu) (June 2022) The Complex Ball-quotient Structure of the Moduli Space of Certain Sextic Curves (with Yiming Zhong) (October 2021), to appear in Journal of the Mathematical Society of Japan Abelian Automorphism Groups of Quartic Surfaces and Cubic Fourfolds (with Tianzhen Peng) (June 2021) On Abelian Automorphism Groups of Hypersurfaces (April, 2020) Israel J. of Math., Vol. 247 (479-498), 2022 Automorphisms and Periods of Cubic Fourfolds (with Radu Laza) (May, 2019) Mathematische Zeitschrift, Vol. 300 (1455-1507), 2022 Moduli of Singular Sextic Curves via Periods of K3 Surfaces (with Chenglong Yu) to appear in Advances in Math. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties (with Chenglong Yu) (June 2018) Alg. & Number Theory, Vol. 14, No. 10 (2647–2683) 2020 Orbifold Aspects of Certain Occult Period Maps (Nov. 2017) Nagoya Math. J., Vol. 243 (137-156), 2021