Eamon QUINLAN-GALLEGO

activity

20192026

collaborators

9 papers

math.AC2026

The WittVectors package for Macaulay2

Anne Fayolle, Abhay Goel, Devlin Mallory +2

We implement a Macaulay2 package for computations involving rings of truncated Witt vectors $W_{n} (R)$ of a finitely generated $\F_p$-algebra $R$ . This package includes ring operatio…

math.AG2025

Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Hanlin Cai, Suchitra Pande, Eamon Quinlan-Gallego +2

Log-canonical and $F$ -pure thresholds of pairs in equal characteristic admit an analog in the recent theory of singularities in mixed characteristic, which is known as the plus-pur…

math.AC2024

Bernstein-Sato theory modulo $p^{m}$

Thomas Bitoun, Eamon Quinlan-Gallego

For fixed prime integer $p > 0$ we develop a notion of Bernstein-Sato polynomial for polynomials with $Z / p^{m}$ -coefficients, compatible with existing theory in the case $…

math.AC2023

Flat morphisms with regular fibers do not preserve $F$ -rationality

Eamon Quinlan-Gallego, Austyn Simpson, Anurag K. Singh

For each positive prime integer $p$ we construct a standard graded $F$ -rational ring $R$ , over a field $K$ of characteristic $p$ , such that $R \otimes_{K} K$ is not $F$ -rati…

math.AC2023

A formalism of $F$ -modules for rings with complete local finite $F$ -representation type

Eamon Quinlan-Gallego

We develop a formalism of unit $F$ -modules in the style of Lyubeznik and Emerton-Kisin for rings which have finite $F$ -representation type after localization and completion at ever…

math.AC2021

Bernstein-Sato theory for singular rings in positive characteristic

Jack Jeffries, Luis Núñez-Betancourt, Eamon Quinlan-Gallego

The Bernstein-Sato polynomial is an important invariant of an element or an ideal in a polynomial ring or power series ring of characteristic zero, with interesting connections to…

math.RA2020

Symmetry on rings of differential operators

Eamon Quinlan-Gallego

If $k$ is a field and $R$ is a commutative $k$ -algebra, we explore the question of when the ring $D_{R ∣ k}$ of $k$ -linear differential operators on $R$ is isomorphic to its opposite…

math.AC2019

Bernstein-Sato roots for monomial ideals in positive characteristic

Eamon Quinlan-Gallego

Following work of Mustaţă and Bitoun we recently developed a notion of Bernstein-Sato roots for arbitrary ideals, which is a prime characteristic analogue for the roots of the Bern…

math.AC2019

Bernstein-Sato theory for arbitrary ideals in positive characteristic

Eamon Quinlan-Gallego

Mustaţă defined Bernstein-Sato polynomials in prime characteristic for principal ideals and proved that the roots of these polynomials are related to the $F$ -jumping numbers of the…

The WittVectors package for Macaulay2

Plus-pure thresholds of some cusp-like singularities in mixed characteristic

Bernstein-Sato theory modulo pm

Flat morphisms with regular fibers do not preserve F-rationality

A formalism of F-modules for rings with complete local finite F-representation type

Bernstein-Sato theory for singular rings in positive characteristic

Symmetry on rings of differential operators

Bernstein-Sato roots for monomial ideals in positive characteristic

Bernstein-Sato theory for arbitrary ideals in positive characteristic

Bernstein-Sato theory modulo $p^{m}$

Flat morphisms with regular fibers do not preserve $F$ -rationality

A formalism of $F$ -modules for rings with complete local finite $F$ -representation type