My research interests lie in algebraic topology, where one uses tools from algebra to study properties (invariants) of topological spaces. I am particularly interested in stable homotopy theory with an equivariant flavour, functor calculus, and how these relate to one another. You can find an always-up-to-date list of preprints on the arXiv.
My current research projects include:
Understanding the structural properties of functor calculi and, in particular, when a calculus exists.
How one can use Koszul duality to relate various versions of functor calculi and aid in computations.
Classifying the tt-geometry of reduced polynomial functors in the sense of Weiss calculus and using this to construct (rational) algebraic models for calculus.
Investigating the difference between real, complex and quaternionic vector bundles with trivial characteristic class data.
Equivariant Koszul duality and its applications to equivariant (homotopical) algebra.
Understanding the role functor calculi can play in TDA, ML and AI.
If you'd like any more details on my research, feel free to get in touch!