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 ...

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 ...

Lie groups epitomise the fusion of algebraic structure with the smooth manifold framework, serving as a cornerstone in both mathematics and theoretical physics. These continuous symmetry groups ...

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 ...