I am a math PhD student at Hamburg University. I am working on higher categorial structures in physics, in particular on bundle gerbes.
My Email address is: Thomas.Nikolaus@uni-hamburg.de
Algebraic models for higher categories, blog discussion
Abstract: We establish a model category structure on algebraic Kan complexes. In fact, we introduce the notion of an algebraic fibrant object in a general model category (obeying certain technical conditions). Based on this construction we propose algebraic Kan complexes as an algebraic model for ∞-groupoids and algebraic quasi-categories as an algebraic model for (∞,1)-categories.