Lance Edward Miller

collaborators

4 papers

math.AC2026

$F$ -depth and $F$ -nilpotent rings: generalizations and applications

Kyle Maddox, Lance Edward Miller

Computation of the Frobenius closure of ideals in rings of prime characteristic is a difficult problem. For a given ideal, its Frobenius test exponent provides a valuable degree of…

math.AG2026

Derived jet and arc spaces

Roi Docampo, Lance Edward Miller, C. Eric Overton-Walker

We study jet schemes and arc spaces in the context of derived algebraic geometry. Explicitly, we consider the jet and arc functors in the category of schemes and study their animat…

math.AC2026

A Buchsbaum theory for Frobenius closure

Kriti Goel, Kyle Maddox, Lance Edward Miller +2

We give a partial characterization for when the difference $e (q) - ℓ_{R} (R / q^{F})$ is independent of the choice of parameter ideal $q \subseteq R$ in a…

math.AG2025

Higher dimensional geometry of $p$ -jets

Lance Edward Miller, Jackson S. Morrow

In this work, we prove a quantitative version of the prime-to- $p$ Manin--Mumford conjecture for varieties with ample cotangent bundle. More precisely, let $A$ be an abelian variety…

F-depth and F-nilpotent rings: generalizations and applications

Derived jet and arc spaces

A Buchsbaum theory for Frobenius closure

Higher dimensional geometry of p-jets

$F$ -depth and $F$ -nilpotent rings: generalizations and applications

Higher dimensional geometry of $p$ -jets