My research is primarily in the areas of homotopy theory and higher
category theory, but also intersects with related areas such as
derived (algebraic) geometry and (topological) quantum field
theories.
Some Current Projects
The higher Morita category of enriched (∞,n)-categories
Linear Batalin-Vilkovisky quantization as a functor of (∞,n)-categories
(with
Owen Gwilliam)
Equivariant and motivic ring spectra via bispans
(with
Elden Elmanto)
Weighted colimits in enriched ∞-categories
(with
Grigory Kondyrev
and
Artem Prikhodko)
Absolute colimits in enriched ∞-categories
(with
David Gepner)
The calculus of mates for (∞,2)-categories via fibrations
(with
Andrea Gagna
and
Fernando Abellán)