Chenglong Yu

Associate professor

Email: yuchenglong_at_ simis.cn
Research Fields:  Algebraic Geometry

Bio

Chenglong Yu is an associate professor at SIMIS and Fudan University from August 2025.

His research is in algebraic geometry and differential geometry. He is interested in the geometry and arithmetic properties of Calabi–Yau varieties, especially the differential systems arising from Calabi–Yau families. He is also interested in moduli of K3 surfaces and cubic fourfolds. Recently he works on two projects, 1. constructions of complex hyperbolic ball quotients and related questions in Deligne–Mostow–Thurston theory, 2. geometric and combinatorial invariants of hyperplane arrangements.

Education Experience

  • 2013-2018 PhD Mathematics Harvard University
  • 2008-2013 B.Sc. Mathematics Tsinghua University

Work Experience

  • 2025.8-current Associate Professor, Shanghai Institute for Mathematics and Interdisciplinary Sciences, Fudan University
  • 2020.11-2025.7 Assistant Professor, Yau Mathematical Sciences Center
  • 2018.7-2020.6 Hans Rademacher Instructor, University of Pennsylvania

Publications

  • Period integrals and tautological systems, joint work with A. Huang, B. Lian and S.-T. Yau, Surveys in Differential Geometry, Volume 22 (2017)
  • Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties, joint work with Z. Zheng, Algebra & Number theory 14 (2020).
  • Period integrals of vector bundle sections and tautological systems, joint work with A. Huang, B. Lian and S.-T. Yau, Mathematical Research Letters 28 (2021).
  • Hasse-Witt matrices, unit roots and period integrals, joint work with A. Huang, B. Lian and S.-T. Yau, Mathematische Annalen 387 (2023).
  • Moduli of Singular Sextic Curves via Periods of K3 Surfaces, joint work with Z. Zheng, Advances in Mathematics 430 (2023).
  • Indecomposability of the bounded derived categories of Brill-Noether varieties, joint work with X. Lin, Proceedings of AMS (2024).
  • Jacobian rings for homogenous vector bundles and applications, joint work with A. Huang, B. Lian and S.-T. Yau, https://arxiv.org/abs/1801.08261.
  • Calabi–Yau varieties via cyclic covers, and complex hyperbolic structures for their moduli spaces, Joint work with Z. Zheng, https://arxiv.org/abs/2401.04006
  • Commensurability Among Deligne–Mostow Monodromy Groups, joint work with Z. Zheng, https://arxiv.org/abs/2411.09682
  • The N/D-Conjecture for Nonresonant Hyperplane Arrangements, joint work with B. Xie, https://arxiv.org/abs/2501.05189 Moduli spaces of sextic curves with simple singularities and their compactifications, joint work with Zhiwei Zheng and Yiming Zhong, https://arxiv.org/abs/2505.16727
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