|danielfk at jhu .edu|
From January to June of 2020 I will be a visitor at Utrecht University in the Netherlands working with Gijs Heuts.I'm a fourth year PhD student at Johns Hopkins University working with Emily Riehl. I am interested in higher category theory and higher algebra, particularly infinity operads and Goodwillie calculus. Here is my CV.
We put a model structure on a full subcategory of based multicategories in which the weak equivalences are created by the K-theory functor of Elmendorf-Mandell. As a corollary we show that to model connective spectra up to stable equivalence it suffices to restrict to symmetric monoidal groupoids.
We put a model structure on the category of prederivators and strict natural transformations, and prove a Quillen equivalence with the Joyal model structure for quasicategories. We also classify those prederivators in the essential image of the embedding of quasicategories into prederivators.
Notes written to accompany my oral candidacy exam taken in 2017.
Notes written while trying to understand the definition of monoidal infinity category in Higher Algebra.