Thomas Nikolaus is a postdoc in Regensburg in the group of Ulrich Bunke. He is working on topics in homotopy theory and higher categorial structures motivated from string physics, such as topological T-duality.
Email address: Thomas1.Nikolaus@mathematik.uni-regensburg.de
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.