Homotopy theory and K‐theory are intertwined fields that have significantly advanced our understanding of topological spaces, algebraic structures and their interrelations. Homotopy theory studies ...

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 ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American When I tell people I’m a mathematician, I get ...

Boardman, who specialized in algebraic and differential topology, was renowned for his construction of the first rigorously correct model of the homotopy category of spectra, a branch of mathematics ...

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 ...