LabCompass

Giulio Caviglia

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Mid career · publishing since 2003
Commutative Algebra and Its ApplicationsAlgebraic Geometry and Number TheoryPolynomial and algebraic computationAlgebraic structures and combinatorial modelsRings, Modules, and Algebras

Publications

60

Citations

354

Est. group size

—

Recurring co-author estimate

Active years

24

Publishing since 2003

Research summary
AI-generated

Giulio Caviglia works in commutative algebra and algebraic geometry, focusing on the algebraic structure of polynomial ideals and modules built from them. Much of his work develops bounds on quantities like the number of generators, syzygies (relations among generators), and Castelnuovo-Mumford regularity (a measure of algebraic complexity), often connected to prime ideals, monomial curves, and Hilbert schemes. This research is largely theoretical, aiming to prove general structural results and conjectures rather than apply methods to outside domains.

Commutative algebra and ideal theorySyzygies and free resolutionsCastelnuovo-Mumford regularity boundsPrime ideals and Cohen-Macaulay propertiesAlgebraic geometry of polynomial rings and Hilbert schemes

Publication output has been fairly steady over the last decade, with a peak around 2020-2021 and a consistent smaller stream of papers continuing 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 2.6/year recently
172018: 2 publications182019: 1 publication192020: 5 publications202021: 6 publications6212022: 3 publications222023: 3 publications232024: 2 publications242025: 2 publications252026: 3 publications26
Recent publications
Publishes in
  • arXiv (Cornell University)×12
  • Proceedings of the American Mathematical Society×2
  • Nagoya Mathematical Journal×2
  • Research in the Mathematical Sciences×1
  • CINECA IRIS Institutial Research Information System (University of Genoa)×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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