LabCompass

Donald Yau

Mathematics · The Ohio State University

OpenAlex
Mid career · publishing since 2001
Advanced Topics in AlgebraAlgebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic TopologyRings, Modules, and AlgebrasAdvanced Algebra and Logic

Publications

196

Citations

2,112

Est. group size

—

Recurring co-author estimate

Active years

26

Publishing since 2001

Research summary
AI-generated

Donald Yau works in abstract algebra and algebraic topology, focusing on category theory (a framework for studying mathematical structures and the maps between them) and its applications to algebraic K-theory, which studies invariants of algebraic systems using tools from topology. Much of the work develops operads, monoidal categories, and equivariant structures—formal tools for organizing and comparing algebraic operations across different mathematical settings. This research is foundational and abstract, aimed at building rigorous theoretical frameworks rather than solving applied problems.

Category theory and monoidal categoriesAlgebraic K-theoryOperads and homotopy theoryEquivariant algebraic structuresInvolutive and coherence structures in categories

Publication output was highest around 2018-2021 and has gradually declined in recent years, though the researcher continues to produce new work through 2025-2026.

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

Publication cadence
Publications per year over the last 10 years — averaging 3.6/year recently
2017: 4 publications172018: 16 publications182019: 5 publications192020: 12 publications202021: 17 publications17212022: 6 publications222023: 4 publications232024: 5 publications242025: 2 publications252026: 1 publication26
Recent publications
Publishes in
  • Lecture notes in mathematics×24
  • Graduate studies in mathematics×16
  • arXiv (Cornell University)×15
  • Mathematical surveys and monographs×3
  • WORLD SCIENTIFIC eBooks×2
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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 19, 2026.

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