Austyn Simpson
This is a likely match — the affiliation was inferred from OpenAlex, ORCID, and web sources but has not been fully confirmed. Treat with appropriate caution.
Researcher
Also affiliated: Bates College (2026)
Unknown Researcher
Research Areas
Biography and Research Information
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
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A Buchsbaum theory for Frobenius closure (2026)arXiv (Cornell University) OpenAlex
Collaboration Network
Top Collaborators
- A Buchsbaum theory for Frobenius closure
- A Buchsbaum theory for Frobenius closure
- A Buchsbaum theory for Frobenius closure
- A Buchsbaum theory for Frobenius closure