Here is the math page for Chengyang Wu.
One quotation:
Between midnight and dawn, when sleep will not come and all the old wounds begin to ache, I often have a nightmare vision of a future world in which there are billions of people, all numbered and registered, with not a gleam of genius anywhere, not an original mind, a rich personality, on the whole packed globe. The twin ideals of our time, organisation and quantity, will have won forever. – J. B. Priestley
About me:
I am going to be a Dickson Instructor this fall at the Department of Mathematics, University of Chicago.
Here is my office location and my colleagues.
My research interests include Lie groups, homogeneous dynamical systems, and Diophantine approximations.
Email:
- chengyangwu1999@gmail.com
- chengyangwu@uchicago.edu
Academic Appointments:
- (2026.9-present) Dickson Instructor, Department of Mathematics, University of Chicago.
Research mentor: Amie Wilkinson.
Education Background:
- (2024.8-2025.2) Visiting Scholar, Department of Mathematics, Brandeis University.
Co-advisor: Dmitry Kleinbock. - (2021.9-2026.6) Ph.D., School of Mathematical Sciences, Peking University.
Advisor: Jinpeng An. Thesis: A quantitative version of Schmidt’s conjecture (Chinese version).
Acknowledgement: Acknowledgement in Ph.D. thesis (English version). - (2017.9-2021.6) B.S., Department of Mathematics, Nanjing University.
Thesis advisor: Fuhai Zhu. Thesis: On a class of Frobenius Lie algebras (Chinese version).
Papers in Preparation:
- (Joint work with Pengyu Yang) Equi-distribution for weighted expanding translates on analytic curves in SL_3(R)/SL_3(Z).
- (Joint work with Jinpeng An and Sanju Velani) Quantitative version of Schmidt’s conjecture via a potential function method.
Preprints and Publications:
- (Joint work with Dmitry Kleinbock) Simultaneously bounded and dense orbits for commuting Cartan actions. (Submitted) arxiv:2509.05272
- (Joint work with Danijela Damjanovic, Amie Wilkinson, and Disheng Xu) The symmetries of affine K-systems and a program for centralizer rigidity. (Submitted) arxiv:2504.09084
- (Joint work with Lifan Guan) Bounded geodesics on locally symmetric spaces, Ergodic Theory and Dynamical Systems, 2026, 1–25. arxiv:2503.14007
- (Joint work with Zichang Wang and Bohan Yang) On identities concerning integer parts, Combinatorics and Number Theory, 13-4 (2024), 317–332. arxiv:2410.10402
Notes:
- Probability theory and stochastic process.
- Margulis’ and Littlewood’s conjectures.
- Schmidt’s game and winning sets.
Talks:
- (2026.4.24, Peking University Graduate Student Seminar) Title: On ergodicity and symmetry for affine maps.
- (2026.4.17, Chongqing University, invited by Runlin Zhang) Title: A quantitative version of Schmidt’s conjecture.
- (2025.12.17, Peking University Graduate Student Seminar) Title: A quantitative version of Schmidt’s conjecture.
- (2025.11.29, TMSE, invited by Weisheng Wu) Title: Topological rigidity and history of Margulis’ conjecture.
- (2025.10.14, New England Dynamics and Number Theory Seminar, invited by Dmitry Kleinbock) Title: Simultaneously bounded and dense orbits for commuting Cartan actions.
- (2025.9.23, Soochow Univeristy, invited by Han Zhang) Title: Simultaneously bounded and dense orbits for commuting Cartan actions, and an application towards uniform Littlewood’s conjecture.
- (2025.9.17, Fudan University, invited by Ronggang Shi) Title: Simultaneously bounded and dense orbits for commuting Cartan actions, and an application towards uniform Littlewood’s conjecture.
- (2025.8.10, TMSE, invited by Weisheng Wu) Title: The symmetries of affine K-systems and a program for centralizer rigidity.
- (2025.7.23, SIMIS, invited by Anurag Rao) Title: Bounded geodesics on locally symmetric spaces and HAW properties.
- (2025.5.28, Chinese Academy of Sciences, invited by Pengyu Yang) Title: The symmetries of affine K-systems and a program for centralizer rigidity.
- (2025.4.26, Peking University Graduate Student Seminar) Title: Bounded geodesics on locally symmetric spaces and HAW properties.
- (2025.3.4, Nanjing University, invited by Fuhai Zhu) Title: The symmetries of affine K-systems and a program for centralizer rigidity.
- (2025.2.6, Brandeis Topological Seminar, invited by Daniel Alvarez-Gavela) Title: Bounded geodesics on locally symmetric spaces.
- (2025.1.31, Tufts University, invited by Boris Hasselblatt) Title: Bounded geodesics on locally symmetric spaces.
- (2025.1.13, Chicago University, invited by Amie Wilkinson) Title: The symmetries of affine K-systems and a program for centralizer rigidity.
- (2024.10.22, New England Dynamics and Number Theory Seminar, invited by Dmitry Kleinbock) Title: Two-dimensional quantitative Schmidt’s conjecture.
- (2024.9.19, Brandeis Graduate Student Seminar) Title: Stable ergodicity and centralizers.
- (2024.8.6, Westlake University, invited by Lifan Guan) Title: Two-dimensional quantitative Schmidt’s conjecture.
Teaching Experience:
Here is a collection of Teaching Materials for courses below. Some videoes are available at Youtube Channel.
- (2025 Spring) Linear Algebra A (II).
- (2024 Spring) Higher Algebra (II), Honors Class.
- (2023 Fall) Higher Algebra (I), Honors Class.
- (2023 Spring) Higher Algebra (II), Honors Class.
- (2022 Fall) Higher Algebra (I), Honors Class.
- (2022 Spring) Mathematical Analysis (II).
- (2021 Fall) Linear Algebra B.