Ben Spitz

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math.AT2026

Radicals and Nilpotents in Equivariant Algebra

David Chan, Ben Spitz

Associated to each Tambara functor $T$ is its Nakaoka spectrum $Spec (T)$ , analogous to the Zariski spectrum of a commutative ring. We establish that this topological space…

math.AT2025

$C_{p}$ -Mackey functors in Macaulay2

Thomas Brazelton, David Chan, Benjamin Mudrak +5

We introduce the CpMackeyFunctors package for Macaulay2, which allows for computations with Mackey functors over a cyclic group of prime order.

math.AT2025

Algebraically Closed Fields in Equivariant Algebra

Jason Schuchardt, Ben Spitz, Noah Wisdom

Using the Burklund-Schlank-Yuan abstraction of ``algebraically closed" to ``Nullstellensatzian", we show that a $G$ -Tambara functor is Nullstellensatzian if and only if it is the c…

Radicals and Nilpotents in Equivariant Algebra

Cp​-Mackey functors in Macaulay2

Algebraically Closed Fields in Equivariant Algebra

$C_{p}$ -Mackey functors in Macaulay2