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.

I’m on the job market now!

My research interests include Lie groups, homogeneous dynamical systems, and Diophantine approximations.

Email:

• chengyangwu1999@gmail.com
• 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:

• Margulis’ and Littlewood’s conjectures.
• Schmidt’s game and winning sets.

Talks:

• (2024.10.14, New England Dynamics and Number Theory Seminar, invited by Dmitry Kleinbock) Title: Simultaneously bounded and dense orbits for commuting Cartan actions.
• (2024.9.23, 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.