LabCompass

Ralph M. Kaufmann

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Established · publishing since 1991
Algebraic structures and combinatorial modelsHomotopy and Cohomology in Algebraic TopologyAdvanced Topics in AlgebraAlgebraic Geometry and Number TheoryAdvanced Algebra and Geometry

Publications

112

Citations

1,119

Est. group size

~1

Recurring co-author estimate

Active years

36

Publishing since 1991

Research summary
AI-generated

Ralph M. Kaufmann works in algebra and topology, developing combinatorial and categorical frameworks (such as operads, Feynman categories, and moduli spaces of surfaces) that organize algebraic structures appearing across topology, geometry, and mathematical physics. His work also touches on applications of these algebraic tools to physical models like topological insulators, and separately includes writings on Hegel's philosophy of nature and space-time. Prospective students would engage with abstract algebraic structures, category theory, and their connections to geometry and physics.

Operads and Feynman categoriesAlgebraic topology and homotopy theoryModuli spaces of Riemann surfacesMathematical physics (topological insulators, K-theory)History and philosophy of science (Hegel)

Publication output has remained fairly steady over the last decade, generally ranging between 4 and 7 papers per year, with a recent dip to about 2 per year in 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 4.0/year recently
2017: 7 publications7172018: 4 publications18192020: 6 publications202021: 7 publications7212022: 5 publications222023: 5 publications232024: 6 publications242025: 2 publications252026: 2 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×16
  • Communications in Number Theory and Physics×2
  • Journal of Noncommutative Geometry×2
  • History of Philosophy Quarterly×2
  • Contemporary mathematics - American Mathematical Society×2
Similar researchers
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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