Austyn Simpson Data-verified

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Austyn Simpson conducts research in abstract algebra, specifically focusing on commutative algebra and its connections to algebraic geometry. Their work investigates properties of Hilbert–Kunz multiplicity and the F-signature, exploring conditions under which these two measures can differ. Simpson also examines Buchsbaum theory in the context of Frobenius closure, aiming to develop a theoretical framework for these concepts. Further research includes the deformation of perfectoid purity within Gorenstein domains, contributing to the understanding of advanced algebraic structures. Simpson has published six scholarly works, with recent activity in 2026. They collaborate with Kriti Goel at the University of Arkansas at Fayetteville, with whom they share two publications.

Metrics

• Publications: 6