Homotopy theory provides a framework for classifying spaces up to continuous deformations, and its application to gauge groups has been instrumental in advancing our understanding of the topological ...

Given a collection {πn:n = 1, 2, ⋯} of countable groups such that πi is abelian and admits π1 as a group of operators for i ≥ 2, we construct here an arcwise connected compact metric space of trivial ...

https://doi.org/10.4007/annals.2019.189.1.1 https://www.jstor.org/stable/10.4007/annals.2019.189.1.1 We compute the 1-line of stable homotopy groups of motivic ...

I am an algebraic topologist and a stable homotopy theorist. I study chromatic homotopy theory and its interactions with equivariant homotopy theory. I also work with condensed matter physicists to ...