LabCompass

Andrew S. Toms

Mathematics · Purdue University West Lafayette

OpenAlex
Mid career · publishing since 2003
Advanced Operator Algebra ResearchAdvanced Topics in AlgebraAdvanced Banach Space TheoryAlgebraic structures and combinatorial modelsHolomorphic and Operator Theory

Publications

88

Citations

1,549

Est. group size

—

Recurring co-author estimate

Active years

24

Publishing since 2003

Research summary
AI-generated

Andrew S. Toms works in operator algebras, a branch of mathematics that studies infinite-dimensional generalizations of matrices called C*-algebras, and how they can be classified and understood through invariants like the Cuntz semigroup. His recent work focuses on structural and classification questions for these algebras, including their spectral properties and connections to homotopy theory (a way of studying shapes and spaces that can be continuously deformed into one another) and Schubert calculus (a classical area of algebraic geometry).

Classification of C*-algebrasCuntz semigroup theoryOperator algebra structure theoryHomotopy theory in operator algebrasCrossed products and topological dynamics

Publication output has been uneven over the last decade, with a large cluster of works in 2018, quiet gaps in several years, and a modest, steady trickle of one to a few 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 1.6/year recently
172018: 17 publications1718192020: 1 publication20212022: 3 publications22232024: 2 publications242025: 1 publication252026: 2 publications26
Recent publications
Publishes in
  • Advanced courses in mathematics, CRM Barcelona×17
  • arXiv (Cornell University)×6
  • Advances in Mathematics×1
  • International Mathematics Research Notices×1
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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 20, 2026.

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