Here is the math page for Chengyang Wu.
About me:
I am currently a fifth-year Ph.D. candidate at the School of Mathematical Sciences, Peking University.
My research interests include Lie groups, homogeneous dynamical systems, and Diophantine approximations.
Email:
- chengyangwu1999@gmail.com
- chengyangwu@uchicago.edu
- chengyangwu@stu.pku.edu.cn
Education Career:
- (2024.8-2025.2) Visiting Scholar, Department of Mathematics, Brandeis University.
Co-advisor: Dmitry Kleinbock. - (2021.9-present) Ph.D. candidate, School of Mathematical Sciences, Peking University.
Advisor: Jinpeng An. - (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)
- (Joint work with Lifan Guan) Bounded geodesics on locally symmetric spaces. (Submitted)
- (Joint work with Danijela Damjanovic, Amie Wilkinson, and Disheng Xu) The symmetries of affine K-systems and a program for centralizer rigidity. (Submitted)
- (Joint work with Zichang Wang and Bohan Yang) On identities concerning integer parts, Combinatorics and Number Theory, 13-4 (2024), 317–332. DOI 10.2140/cnt.2024.13.317.
Notes:
- Probability theory and stochastic process.
- Margulis’ and Littlewood’s conjectures.
- Schmidt’s game and winning sets.
Talks:
- (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.
Reading Seminars:
- (2025 Spring, Chinese Academy of Sciences, organized by Weikun He and Pengyu Yang) Equi-distribution of A-periodic orbits on SL_2(R)/SL_2(Z) and Duke’s theorem.
- (2025 Spring, Brandeis University, self-organized) Roy and Yuming’s construction of templates in parametric geometry of numbers.
- (2024 Fall, Brandeis University, organized by Vasiliy Neckrasov) A variational principle in parametric geometry of numbers.
- (2023 Fall, Chinese Academy of Sciences, Weikun He and Pengyu Yang) A lemma of Einsiedler-Katok and its generalization in high entropy arguments.
- (2023 Summer, Peking University, organized by Jinpeng An) Proof of Ratner’s theorems using shearing property.
- (2023 Spring, Chinese Academy of Sciences, organized by Weikun He and Pengyu Yang) Geodesic submanifolds and properly supported measures in hyperbolic spaces.
- (2022 Fall, Chinese Academy of Sciences, organized by Weikun He and Pengyu Yang) From large dimension to effective density for the effective equi-distribution of unipotent flows.
- (2022 Spring, Peking University, organized by Jinpeng An) Measure rigidity and entropy methods for diagonal actions on homogeneous spaces.
Teaching Experiences:
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.