LabCompass

Julia Plavnik

Mathematics · Indiana University

OpenAlex ORCID
Algebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic TopologyAdvanced Topics in AlgebraAlgebraic Geometry and Number TheoryNonlinear Waves and Solitons

Publications

67

Citations

514

Est. group size

—

Recurring co-author estimate

Active years

16

Publishing since 2011

Research summary
AI-generated

Julia Plavnik works in pure mathematics, focusing on algebraic structures such as fusion categories, modular categories, and tensor categories—abstract frameworks that classify symmetry and are closely connected to quantum topology and mathematical physics. Her research includes classifying these categories, studying their cohomology and dimensions, and exploring operations like 'zesting' that relate to topological invariants. This work sits at the intersection of algebra, category theory, and connections to physics like the Yang-Baxter equation and braid groups.

Fusion and tensor categoriesModular categories and quantum topologyCohomology of algebraic structuresBraid groups and Yang-Baxter equationRepresentation theory and Lie algebras

Publication activity has grown notably, rising from around 4-5 papers per year in the late 2010s to about 9 per year from 2023 onward.

Generated by claude-opus-4-8 from public bibliographic data · Jul 11, 2026

Publication cadence
Publications per year over the last 10 years — averaging 6.4/year recently
2017: 5 publications172018: 4 publications182019: 4 publications192020: 4 publications202021: 5 publications212022: 3 publications222023: 9 publications9232024: 9 publications9242025: 9 publications9252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×31
  • Algebras and Representation Theory×3
  • Journal of Algebra×2
  • Journal of the London Mathematical Society×2
  • Journal of Mathematical Physics×1

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 11, 2026.

Claim or correct this profile