Lizhi Chen
Contact Information
School of Mathematics and Statistics
Lanzhou University
Lanzhou, Gansu 730000, China
Email: lizhi.chen.math@gmail.com lizhi.chen@outlook.com
I also update my homepage at Google site and Wordpress pages .
Research
Research Interests
Low dimensional geometry and topology, Hyperbolic geometry, Quantitative geometry and quantitative topology, Systolic geometry and asymptotic geometry.
Papers
- Edward Bryden and Lizhi Chen, Stability for a class of three-tori with small negative scalar curvature, (2024), submitted, current version: 05/14/2024. arXiv:2404.12795,
download: PDF file.
- Lizhi Chen, Counting manifolds with bounded asymptotic invariants, (2021), preprint, current version: 2024-10-16, download: PDF file.
- Lizhi Chen, Triangulation complexity and systolic volume of hyperbolic manifolds, (2021), arXiv, preprint, submitted, current version: 2021-11-29, download: PDF file.
- Lizhi Chen, Gromov's systolic inequality via smoothing, (2021), Proceedings of the International Young Seminars on Bounded Cohomology and Simplicial Volume, Chapter 4, available at: Link
- Lizhi Chen, Embolic volume and finite domination, (2019), submitted.
- Lizhi Chen, Covering trick and embolic volume, (2019), submitted.
- Lizhi Chen and Weiping Li, Systoles of surfaces and 3-manifolds, Geometry and Topology of Submanifolds and Currents 646 (2015), 61--80.
Talks
- Topological complexity of closed manifolds with nonzero simplicial volume, November 25, 2021, Geometry and Topology Seminar, Sichuan University.
- Homology and homotopy complexity via systolic geometry, 38th Annual Workshop in Geometric Topology (online), June 15--17, 2021, Texas Christian University.
- Homology and homotopy complexity via systolic geometry, Seminar at Beijing International Center for Mathematical Research (online), May 12, 2021, Peking University.
- Gromov's systolic inequality via smoothing technique, International Young Seminar on Bounded Cohomology and Simplicial Volume (online), November 23, 2020.
Teaching
Current
In the semester of Spring 2025, I teach the following courses:
- Topology (undergraduate honors course)
- Topology (undergraduate course)
- Elementary Number Theory (undergraduate course)
Past Teaching Courses
Lanzhou University
- Spring 2021, Algebraic Topolgogy (graduate course)
- Spring 2021, Topology (in Chinese, undergraduate course)
- Spring 2020, Algebraic Topology (graduate course)
- Spring 2020, Topology (in Chinese, undergraduate course)
- Spring 2019, Algebraic Topology (graduate course)
- Spring 2019, Topology (in Chinese, undergraduate course)
- Spring 2018, Algebraic Topology (graduate course)
- Spring 2018, College Calculus (in Chinese)
- Spring 2017, Topology (in Chinese, undergraduate course)
- Spring 2017, College Calculus (in Chinese)
- Fall 2016, Calculus for Medical School (in Chinese)
Oklahoma State University
- Fall 2013, Precalculus (Discussion Session)
- Summer 2013, Calculus II
- Spring 2013, Calculus I
- Fall 2012, Precalculus (Discussion Session)
- Summer 2012, Elementary Calculus
- Spring 2012, Calculus I
- Fall 2011, Precalculus (Discussion Session)
- Summer 2011, Calculus III
- Spring 2011, Elementary Calculus (Discussion Session)
- Fall 2010, Precalculus (Discussion Session)
- Summer 2010, Elementary Calculus
- Spring 2010, Elementary Calculus (Discussion Session)
- Fall 2009, Precalculus (Discussion Session)
- Spring 2009, Elementary Calculus (Discussion Session)