activity
20242026
most citedThe spectrum of the Burnside Tambara functor

2 citations · 3 across the 5 of their papers we have counts for

collaborators
Showing math.ATShow all

6 papers · 1 filter

math.AT2026

Multiplicatively cohomological Tambara functors

David Chan

We study a nice class of Tambara functors, called multiplicatively cohomological Tambara functors. The first result is a proof of a conjecture of Balchin, Quigley, and Spitz showin…

math.AT2026

Radicals and Nilpotents in Equivariant Algebra

David Chan, Ben Spitz

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

math.AT2025

Realizing compatible pairs of transfer systems by combinatorial -operads

David Chan, Myungsin Cho, David Mehrle +4

We investigate how the notions of pairings of operads of May and compatible pairs of indexing systems of Blumberg--Hill relate via the correspondence between indexing systems and $…

math.AT2025

-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★ 2 cited

The spectrum of the Burnside Tambara functor

Maxine Elena Calle, David Chan, David Mehrle +3

We compute the spectrum of prime ideals in the Burnside Tambara functor over an arbitrary finite group. Our proof uses recent advances in the commutative algebra of Tambara functor…

math.AT2024★ 1 cited

On the Tambara Affine Line

David Chan, David Mehrle, J. D. Quigley +2

Tambara functors are the analogue of commutative rings in equivariant algebra. Nakaoka defined ideals in Tambara functors, leading to the definition of the Nakaoka spectrum of prim…