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: [email protected]
website: http://www.mathematik.uni-regensburg.de/nikolaus/
Higher categorical structures in geometry -- General theory and applications to QFT (slides) PhD thesis (2011)
Algebraic models for higher categories, 2010 (blog discussion, arxiv/1003.1342)
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.
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T-Duality in K-theory and Elliptic Cohomology, talk at String Geometry Network Meeting, Feb 2014, ESI Vienna (website)