3 citations · 9 across the 5 of their papers we have counts for
7 papers
Equivariant homotopy commutativity for
Scott Balchin, Daniel Bearup, Clelia Pech +1
We investigate the combinatorial data arising from the classification of equivariant homotopy commutativity for cyclic groups of order for distinct pri…
On the number of rational points of classifying stacks for Chevalley group schemes
Scott Balchin, Frank Neumann
We compute the number of rational points of classifying stacks of Chevalley group schemes using the Lefschetz-Grothendieck trace formula of Behrend for -adic cohomology of al…
Adelic models of tensor-triangulated categories
J. P. C. Greenlees, Scott Balchin
We show that a well behaved Noetherian, finite dimensional, stable, monoidal model category is equivalent to a model built from categories of modules over completed rings in an ade…
Augmented Homotopical Algebraic Geometry
Scott Balchin
We develop the framework for augmented homotopical algebraic geometry. This is an extension of homotopical algebraic geometry, which itself is a homotopification of classical algeb…
A Computational Method for Large Scale Searching of Counterexamples to the Strong Coincidence Conjecture
Scott Balchin
In this short note we report on results on a computational search for a counterexample to the strong coincidence conjecture. In particular, we discuss the method used so that furth…
Computations for symbolic substitutions
Dan Rust, Scott Balchin
We provide a survey of results from symbolic dynamics and algebraic topology relating to Grout, a new user-friendly program developed to calculate combinatorial properties and topo…