Chenglong Yu

Office: SIMIS 1106, Yangpu District, Shanghai
Email: yuchenglong {at} simis.cn, yuchenglong {at} fudan.edu.cn

I am an associate professor at SIMIS and Fudan University from August 2025. I was an assistant professor at YMSC from 2020.11-2025.7. Before that I was a Hans Rademacher Instructor of Mathematics at University of Pennsylvania from June 2018-July 2020. I graduated from Harvard University in 2018, under the supervision of Shing-Tung Yau.

My research is in algebraic geometry and differential geometry. I am interested in the geometry and arithmetic properties of Calabi--Yau varieties, especially the differential systems arising from Calabi--Yau families. I am also interested in moduli of K3 surfaces and cubic fourfolds. Recently I am working 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.

Papers

  • Rigidity Criterion for Certain Calabi--Yau families. (with Ruiran Sun and Kang Zuo)
  • Homology of Local Systems on Real Line Arrangement Complements. (with Baiting Xie)
  • Moduli spaces of sextic curves with simple singularities and their compactifications. (with Zhiwei Zheng and Yiming Zhong)
  • The N/D-Conjecture for Nonresonant Hyperplane Arrangements. (with Baiting Xie)
  • Commensurability Among Deligne--Mostow Monodromy Groups. (with Zhiwei Zheng)
  • Calabi--Yau varieties via cyclic covers, and complex hyperbolic structures for their moduli spaces. (with Zhiwei Zheng)
  • Indecomposability of the bounded derived categories of Brill--Noether varieties. (with Xun Lin) Proceedings of AMS (2024)
  • Moduli of Singular Sextic Curves via Periods of K3 Surfaces. (with Zhiwei Zheng) Advances in Mathematics (2023)
  • Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties. (with Zhiwei Zheng) Algebra & Number theory 14 (2020)
  • Jacobian rings for homogenous vector bundles and applications. (with An Huang, Bong Lian and Shing-Tung Yau)
  • Period integrals of vector bundle sections and tautological systems. (with An Huang, Bong Lian and Shing-Tung Yau) Mathematical Research Letters 28 (2021)
  • Hasse--Witt matrices, unit roots and period integrals. (with An Huang, Bong Lian and Shing-Tung Yau) Math. Ann. (2022)

    • Students

    Baiting Xie

    Shihao Wang

    Seminar

    SIMIS Algebraic Geometry Seminar

    Teaching at ZSIMS

    IMSC 2048 Algebra Spring 2026

    Teaching at SIMIS

    Topology and deformation of isolated singularities Spring 2026

    Hodge Theory Fall 2025

    2025 Yau Mathcamp at SIMIS

    Representation Theory

    示范班线性代数课程

    Linear Algebra 2025

    Teaching at Tsinghua

    Algebra2Spring2024

    Algebra1Fall2024

    Commutative Algebra and Homological Algebra Spring 2024

    Algebraic Curves Fall 2023

    Algebra2Spring2023

    Algebra1Fall2022

    Algebra0Spring2022

    Algebra0Spring2021

    Hodge Theory of Cubics

    Teaching at Penn

    Spring 2020: Math 240

    Spring 2020: Math 371 Algebra

    Fall 2019: Math 241

    Spring 2019: Math 371 Algebra

    Spring 2019: Math 114 Multivariable Calculus

    Spring 2019: Independent study (Math-999) Riemann surfaces

    Fall 2018: Math 114 Multivariable Calculus

    Teaching at Harvard

    Spr. 2018: Math 213br Riemann Surfaces(CA)

    Fa. 2017: Math 21a Multivariable Calculus

    Fa. 2016: Math 21a Multivariable Calculus

    Fa. 2015: Math 21a Multivariable Calculus

    Spr. 2015: Math 213br Advanced Complex Analysis(CA)

    Fa. 2014: Math 21a Multivariable Calculus (Coach)

    Other links

    Yau student seminar

    Zhiwei Zheng's Homepage