Chenglong Yu

Office:Shuangqing B523
Email: yuchenglong {at} mail.tsinghua.edu.cn

I am an assistant professor at YMSC and BIMSA starting from Nov 2020. 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 constructions of complex hyperbolic ball quotients and related questions in Deligne-Mostow-Thurston theory.

Papers

1. Calabi-Yau varieties via cyclic covers, and complex hyperbolic structures for their moduli spaces. (with Zhiwei Zheng)
2. Indecomposability of the bounded derived categories of Brill-Noether varieties. (with Xun Lin)Proceedings of AMS (2024)
3. Moduli of Singular Sextic Curves via Periods of K3 Surfaces. (with Zhiwei Zheng) Advances in Mathematics (2023)
4. Moduli Spaces of Symmetric Cubic Fourfolds and Locally Symmetric Varieties. (with Zhiwei Zheng) Algebra & Number theory 14 (2020)
5. Jacobian rings for homogenous vector bundles and applications. (with An Huang, Bong Lian, Shing-Tung Yau)
6. Period integrals of vector bundle sections and tautological systems. (with An Huang, Bong Lian, Shing-Tung Yau) Mathematical Research Letters 28 (2021)
7. Hasse-Witt matrices, unit roots and period integrals. (with An Huang, Bong Lian, Shing-Tung Yau) Math. Ann. (2022)

Students

Bowen Liu

Qiliang Luo

Baiting Xie

Shihao Wang (undergraduate)

Teaching at Tsinghua

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