Type theory and homotopy theory have evolved into profoundly interconnected disciplines. Type theory, with its foundations in logic and computer science, provides a formal language for constructing ...

Homotopy theory is a cornerstone of modern algebraic topology, concerned with the study of spaces up to continuous deformations. This approach characterises topological spaces by their intrinsic ...

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 ...

Widely influential algebraic topologist and homotopy theorist Jack Morava, professor in the Department of Mathematics at Johns Hopkins University for nearly four decades, died in Boston on Aug. 1 ...

$\bullet$ Homotopy theory and Higher Algebra. $\bullet$ Algebraic $K$-theory. $\bullet$ Field theories and mathematical Physics. $\bullet$ (topological) Hochschild ...

$\bullet$ Differential topology, algebraic $K$-and $L$-theory. $\bullet$ Functor Calculus, Homotopy theory.