LabCompass

Alexander Tsymbaliuk

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2009Rising activity
Algebraic structures and combinatorial modelsAdvanced Topics in AlgebraNonlinear Waves and SolitonsAdvanced Combinatorial MathematicsAdvanced Operator Algebra Research

Publications

57

Citations

418

Est. group size

—

Recurring co-author estimate

Active years

18

Publishing since 2009

Research summary
AI-generated

This researcher works in algebra, focusing on quantum groups, Yangians, shuffle algebras, and related structures such as R-matrices and Lyndon words. This is abstract mathematical work that studies symmetry and algebraic structures arising in representation theory and mathematical physics, often used to describe symmetries in quantum systems. The work is highly technical and largely theoretical, building precise algebraic frameworks and classification results rather than applied computation.

Quantum groups and YangiansShuffle algebras and integral formsR-matrices and orthosymplectic structuresLyndon words and combinatorial algebraRepresentation theory of algebraic structures

Publication output has grown substantially over the last decade, rising from about 1-4 papers per year in 2017-2019 to a sustained 7-10 papers per year from 2022 onward.

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

Publication cadence
Publications per year over the last 10 years — averaging 7.6/year recently
2017: 1 publication172018: 4 publications182019: 3 publications192020: 3 publications202021: 2 publications212022: 5 publications222023: 10 publications10232024: 8 publications242025: 8 publications252026: 7 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×24
  • Letters in Mathematical Physics×6
  • SpringerBriefs in mathematical physics×4
  • Advances in Mathematics×3
  • Journal of Pure and Applied Algebra×3
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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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