Type theory and homotopy theory are two interconnected areas of mathematical logic and topology that have gained significant attention in recent research. Type theory serves as a foundation for ...

Homotopy theory is a branch of mathematics that studies topological spaces and their properties through the concept of homotopy, which is a way of transforming one function into another.

I study chromatic homotopy theory and its interactions with equivariant homotopy theory. I also work with condensed matter physicists to apply tools from algebraic topology to the study of phases of ...