David Chan

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math.AT2026

Double Steinberg coinvariants for special linear groups

Tatiana Abdelnaim, David Chan, Alexander Kupers +2

For a field $F$ we study the coinvariants for the $S L_{n} (F)$ -action on the double Steinberg module $S t_{n} (F) \otimes S t_{n} (F)$ and show they have a rich algebraic structure: for $n =…

math.AT2026

Computations in Equivariant Topological Hochschild Homology

David Chan, Marc Gotliboym, Inbar Klang +1

One of the most effective approaches to computations in algebraic $K$ -theory is trace methods, which compare algebraic $K$ -theory with topological Hochschild homology and topologic…

math.AT2026

Topological symmetric and braid homologies

Gabriel Angelini-Knoll, David Chan, Teena Gerhardt +2

We identify topological symmetric homology as the free $E_{\infty}$ -algebra on an $E_{1}$ -algebra and topological braid homology as the free $E_{2}$ -algebra on…

math.AT2025

Trace methods for equivariant algebraic K-theory

David Chan, Teena Gerhardt, Inbar Klang

In the past decades, one of the most fruitful approaches to the study of algebraic $K$ -theory has been trace methods, which construct and study trace maps from algebraic $K$ -theory…