I am an R. H. Bing postdoctoral fellow in the Department of Mathematics at UT Austin. I received my PhD from University of Chicago under the supervision of Danny Calegari. I am interested in geometric topology, geometric group theory and dynamics. Topics I specifically studied include stable commutator length, which is a relative version of the Gromov-Thurston norm and dual to quasimorphisms, and mapping class groups of infinite-type surfaces (such as the plane minus a Cantor set, which occurs naturally in dynamics). Here is my CV. The letter "v" in my first name really stands for "ü", a missing vow in English, pronounced as in German. Simply call me Joe unless you are curious about the accurate pronunciation. |
Photo by Le Zhuang |
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8. (with Nicolaus Heuer) Stable commutator length in right-angled Artin and Coxeter groups,

In a second part of this paper we show certain integral chains in RAAGs can be computed by linear programming and relate them to the fractional stability number of graphs. In particular this implies that computing scl of elements and chains in RAAGs is NP hard as well as other consequences.

All results are proved in the general setting of graph products. In particular all above results hold verbatim for RACGs.

7. (with Alexander J. Rasmussen) Laminations and 2-filling rays on infinite type surfaces,

6. (with Santana Afton, Danny Calegari, Rylee Alanza Lyman) Nielsen realization for infinite-type surfaces,

5. (with Nicolaus Heuer) Spectral gap of scl in graphs of groups and 3-manifolds,

4. (with Danny Calegari) Big mapping class groups and rigidity of the simple circle,

3. Scl in graphs of groups,

2. Spectral gap of scl in free products,

1. Scl in free products,

Stable commutator length in graphs of groups, NCNGT 2020

Spectral gap of scl, 2017 Fall AMS sectional meeting at Buffalo

Email: | lvzhou.chen (followed by @math.utexas.edu) |
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Mail: | Department of Mathematics The University of Texas at Austin 2515 Speedway, PMA 8.100 Austin, TX 78712 |

Research Blog of Danny Calegari |
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Low Dimensional Topology Blog |

Course Blog on Geometric Group Theory by Henry Wilton |