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I am an assistant professor at the Chinese University of Hong Kong. I was a Van Vleck Visiting Assistant Professor at UW Madison and before that I was a PhD student at Harvard under the supervision of Prof. Mark Kisin. Here is my CV.
My research is in arithmetic geometry. Among other things, I am interested in the cycle conjectures (Hodge, Tate, etc.), hyperkähler varieties, geometry and applications of Shimura varieties, particularly in positive characteristic.
Address: Unit 410, Academic Building No.1, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong
Email: zqyang@cuhk.edu.hk
I am mangaging an irregularly updated online seminar at CUHK focusing on arithmetric geometry and related topics. More info can be found here: https://researchseminars.org/seminar/CUHKNT
Papers
Isogenies between K3 surfaces over 𝔽̅ₚ. International Mathematics Research Notices, Volume 2022, Issue 6, March 2022, Pages 4407–4450
On Irreducible Symplectic Varieties of K3[n] -type in Positive Characteristic. Advances in Mathematics, Volume 417, 2023, 108930.
Twisted Derived Equivalences and Isogenies between K3 Surfaces in Positive Characteristic, with Daniel Bragg. Algebra and Number Theory, Vol. 17 (2023), No. 5, 1069–1126
On the Tate Conjecture for Squares of K3 Surfaces over Finite Fields. arXiv:2110.01350 (will be superseded by a new paper with Daniel Bragg, partial result can be found here).
On the Tate conjecture for divisors on varieties with h2,0=1in positive characteristics, with Paul Hamacher and Xiaolei Zhao. To appear in Journal für die Reine und Angewandte Mathematik (Crelle's Journal).
A Note on Systems of Realizations on Shimura Varieties. arXiv: 2304.10751
Arithmetic Deformation of Line Bundles, with David Urbanik. arXiv: 2310.08652
Pointwise Criteria for p-adic Local Systems, with Haoyang Guo. arXiv: 2409.19742
The Tate Conjecture for Surfaces of geometric genus one---Overcoming Singularities, with Haoyang Guo. arXiv: 2501.18541
Other Writings
Morphisms with Only Mild Singular Fibers and Bertini Theorems over Finite Fields (my undergrad senior thesis)
Teaching
At Harvard
Spring 2018: Curves on Algebraic Surfaces (Tutorial). Here are the notes taken by Daniel Kim.
Spring 2019: Linear Algebra and Differential Equations (Coaching)
Fall 2019: Linear Algebra and Differential Equations
Spring 2021: Linear Algebra and Differential Equations
At UW Madison
Fall 2021: Elementary matrices and Linear Algebra
Spring 2022: Linear Algebra
Fall 2022: Elementary matrices and Linear Algebra
Spring 2023: Modern Algebra
Fall 2023: Theory of single variable calculus
Spring 2024: Modern Algebra
At CUHK
Fall 2024: Topics in Number Theory
Spring 2025: Advanced Calculus II
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