Sebastian Thomas (math at sebastianthomas dot de)
A repository where I collect my math publications.
- Diskrete Strukturen (Discrete Structures). RWTH Aachen University, 2015-2018. (in German, version 1.3.7 from July 5, 2018)
- Lineare Algebra für Informatiker (Linear algebra for computer scientists). RWTH Aachen University, 2014-2018. (in German, version 2.6.3 from October 11, 2018)
- Lineare Algebra (Linear algebra). Carl von Ossietzky Universität Oldenburg, 2013. (in German, provisional version)
- Einführung in die Zahlentheorie (Introduction to number theory). Carl von Ossietzky Universität Oldenburg, 2013. (in German, provisional version)
- Vorkurs zur linearen Algebra (Prep course for linear algebra). RWTH Aachen University, 2012. (in German)
- Equivalences between localisations of categories provided by replacements. Preprint, 2018.
- A calculus of fractions for the homotopy category of a Brown cofibration category. Dissertation, RWTH Aachen University, 2012.
- On the 3-arrow calculus for homotopy categories. Homology, Homotopy and Applications 13(1) (2011), pp. 89-119.
- On the second cohomology group of a simplicial group. Homology, Homotopy and Applications 12(2) (2010), pp. 167-210.
- The third cohomology group classifies crossed module extensions. Manuscript, 2009. Addendum to On the second cohomology group of a simplicial group.
- jt. with William G. Dwyer and Andrei Rădulescu-Banu: Faithfulness of a functor of Quillen. Algebraic & Geometric Topology 10(1) (2010), pp. 525-530.
- The functors Wbar and Diag Nerve are simplicially homotopy equivalent. Journal of Homotopy and Related Structures 3(1) (2008), pp. 359-378.
- (Co)homology of crossed modules. Diploma Thesis, RWTH Aachen University, 2007.
For details, see my RWTH Aachen webpage.