Research
I'm intersted in various aspects of homotopy theory. More specificly, I work on algebraic models of spaces. The main tools I use are higher algebra, higher category theory and Goodwillie calculus.
A Hopf algebra model for Dwyer's tame spaces, PhD thesis, 123 pages.
We prove the homotopy theory of Dwyer's tame spaces is equivalent to the homotopy theory of tame spectral Hopf algebras. Moreover, we prove a tame Milnor-Moore theorem which connects Dwyer's Lie algebra model and our Hopf algebra model. These results are analogous to those in Quillen's rational homotopy theory.