Zihao Liu

Here is a copy of my CV (updated Oct 2025): liu_cv_2025

Research: 

• Scaled homology and topological entropy, with Bingzhe Hou and Kiyoshi Igusa, Proc. Amer. Math. Soc. Ser. B 10 (2023), 273–287.

You may have seen me (or might see me) at:

• Introductory Workshop: Topological and Geometric Structures in Low Dimensions & Geometry and Dynamics for Discrete Subgroups of Higher Rank Lie Groups, (Simons Laufer Mathematical Sciences Institute, January 2026)

• Workshop on hyperbolic geometry and geometric group theory (SIMIS, December 2025)

• Computational problems about 3-manifolds, associated groups and varieties (Rutgers University, October 2025)

• The William Rowan Hamilton Geometry and Topology Workshop (in honor of Martin Bridson) (Trinity College Dublin, June 2025)

• Geometric Group Theory and Related Topics (Beijing International Center for Mathematical Research, June 2025)

• Geometry and Topology of Polyhedral Complexes (in honor of Mike Davis) (The Ohio State University, May 2025)

• Recent Development in Geometric Group Theory (The University of Tennessee, May 2025)

• Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (IMPA, January 2025)

• Shanghai Geometric Group Theory Workshop (Fudan University, July 2024)

• Graduate Student Conference in Algebra, Geometry, and Topology (Temple University, May 2024)

• Cornell Topology Festival (Cornell University, May 2024)

• Graduate Student Topology and Geometry Conference 2024 (Michigan State University, April 2024)

• Hot Topics: Artin Groups and Arrangements - Topology, Geometry, and Combinatorics (Simons Laufer Mathematical Sciences Institute, March 2024)

• Riverside Workshop on Geometric Group Theory: January follow-up (University of California, Riverside, January 2024)

• Texas Geometry and Topology Conference (Rice University, November 2023)

• Geometry and topology of Artin groups (American Institute of Mathematics, September 2023)

• Groups around 3-Manifolds (Centre de Recherches Mathématiques, June 2023)

• Geometric Topology in New York (Columbia University, June 2023)

• Geometry of Subgroups (Centre de Recherches Mathématiques, May 2023)

• Redbud Topology Conference (University of Oklahoma, March 2023)

• Riverside Workshop on Geometric Group Theory (University of California, Riverside, March 2023)

• Graduate Combinatorics, Algebra, and Topology Conference (Binghamton University, November 2022)

• Workshop on Big Mapping Class Groups (Boston College, August 2022)

• Geometry, Arithmetic, and Groups (in honor of Alan Reid) (University of Texas, Austin, June 2022)

• The Circle at Infinity (in honor of Curtis McMullen) (Harvard University, June 2022)

• 3-Manifolds, Groups, and Singularities (in honor of Walter Neumann) (Columbia University, June 2022)

• Graduate Student Conference in Algebra, Geometry, and Topology (Temple University, May 2022)

Talks given:

• SIMIS Geometry & Topology Seminar (November 2024)

Scaled homology and topological entropy (slides)

• UCR Geometry & Topology Seminar (November 2024) 

Scaled homology and topological entropy

• Temple Graduate Student Conference in Algebra, Geometry, and Topology (May 2024)

Profinite rigidity

• Graduate Student Topology and Geometry Conference 2024

Scaled homology and topological entropy

• Riverside Workshop on Geometric Group Theory: January follow-up

From braid groups to Artin groups

• Binghamton University Graduate Combinatorics, Algebra, and Topology Conference

Large scale homology

• Rice Topology Seminar

Scaled homology and topological entropy

• Texas A & M Graduate Student Concentration Week on Metric Geometry

Scaled homology and topological entropy

• Temple Graduate Student Conference in Algebra, Geometry, and Topology

Large scale homology

• Brandeis Topology Seminar

Scaled homology and topological entropy