Research

A motivic filtration on the topological cyclic homology of commutative ring spectra.
Hochschild homology and the derived de Rham complex revisited.
Motivic Gauss-Bonnet formulas.

Exposition

Smash products & the J-homomorphism.
Complex cobordism: geometry & algebra.
Motivating infinity-categorical thinking.
Characters in global equivariant homotopy theory.