LabCompass

Lvzhou Chen

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Early career · publishing since 2019
Geometric and Algebraic TopologyMathematical Dynamics and FractalsHomotopy and Cohomology in Algebraic TopologyAdvanced Operator Algebra ResearchAdvanced Combinatorial Mathematics

Publications

19

Citations

31

Est. group size

—

Recurring co-author estimate

Active years

7

Publishing since 2019

Research summary
AI-generated

Lvzhou Chen works in geometric group theory and low-dimensional topology, studying mapping class groups (symmetries of surfaces), infinite-type surfaces, and quantities like stable commutator length that measure algebraic complexity of group elements. Much of the work connects abstract algebraic structures to geometric objects such as laminations, surfaces, and 3-manifolds. This research is theoretical, aiming to prove structural results (e.g., classification theorems, gap phenomena) rather than produce applied tools.

Mapping class groups and surface topologyStable commutator length and torsion lengthInfinite-type surfaces and laminationsGeometric group theory3-manifolds and low-dimensional topology

Publication output has been fairly steady over the past five years, averaging about two papers per year after an initial ramp-up in 2019-2020.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 2.2/year recently
17182019: 1 publication192020: 5 publications5202021: 2 publications212022: 4 publications222023: 3 publications232024: 3 publications242025: 1 publication2526
Recent publications
Publishes in
  • arXiv (Cornell University)×8
  • Transactions of the American Mathematical Society Series B×2
  • Journal of Database Management×1
  • Transactions of the American Mathematical Society×1
  • Annales de l’institut Fourier×1
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By research-topic overlap

This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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