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Presence Current · Arkansas
Last published 2026
Sources OpenAlex · ORCID
Refreshed 2026-10-04

Austyn Simpson

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University of Arkansas

Also affiliated: Bates College (2026)

6 pubs

Research Areas

OverviewAI-generated summary

Austyn Simpson's research interests lie within the field of abstract algebra, specifically focusing on commutative algebra and algebraic geometry. Their work investigates the relationships between fundamental algebraic invariants and the geometric properties of algebraic varieties. Recent publications explore concepts such as Hilbert-Kunz multiplicity and the F-signature, examining conditions under which these measures can diverge. Simpson also studies Buchsbaum theory in the context of Frobenius closure and investigates the deformation of perfectoid purity in Gorenstein domains. These areas of study contribute to understanding the intricate structures and behaviors of rings and schemes.

Metrics

  • Publications: 6

Selected Publications

  • Hilbert–Kunz multiplicity and F ‐signature can disagree (2026)
    Bulletin of the London Mathematical Society DOI OpenAlex
  • A Buchsbaum theory for Frobenius closure (2026)
    arXiv (Cornell University) OpenAlex
  • A Buchsbaum theory for Frobenius closure (2026)
    Journal of the London Mathematical Society DOI OpenAlex
  • On deformation of perfectoid purity in Gorenstein domains (2025)
    arXiv (Cornell University) DOI OpenAlex
  • Structural Vibration Analysis: Modelling, Analysis and Damping of Vibrating Structures. C. F. Beards. Ellis Horwood Limited, Chichester. 1983. 153 pp. Illustrated. £17.50. (1984)
    The Aeronautical Journal DOI OpenAlex
  • Inflated mobile lifting structures practical design and trials of a circular planform model using membrane construction (1968)
    OpenAlex

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Collaboration Network

9 Collaborators 2 Institutions 1 Country

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