Stefan Witzel - Publications

Stefan Witzel - Research

Publications and preprints

Journal publications

Ralf Köhl and Stefan Witzel, The sphericity of the Phan geometries of type B_n and C_n and the Phan-type theorem of type F₄, Transactions of the AMS, 365 (2013), 1577-1602, arXiv:0901.1156.
Kai-Uwe Bux, Ralf Köhl, and Stefan Witzel, Higher finiteness properties of reductive arithmetic groups in positive characteristic: The Rank Theorem, Annals of Mathematics, 177 (2013), 311-366, arXiv:1102.0428.
Martin Fluch and Stefan Witzel, Brown's criterion in Bredon homology, Homology, Homotopy and Applications, 15 (2013), 153-162, arXiv:1206.0962.
Stefan Witzel, Abels's groups revisited, Algebraic & Geometric Topology, 13 (2013), 3447-3467, arXiv:1206.0977.
Martin Fluch, Marco Schwandt, Stefan Witzel, and Matthew C. B. Zaremsky, The Brin-Thompson groups sV are of type F_∞, Pacific Journal of Mathematics, 266 (2013), 283-295, arXiv:1207.4832.
Kai-Uwe Bux, Martin Fluch, Marco Schwandt, Stefan Witzel, and Matthew C. B. Zaremsky, The braided Thompson's groups are of type F_∞, Journal für die reine und angewandte Mathematik (Crelle's journal), 718 (2016), 59-101, arXiv:1210.2931.
Stefan Witzel and Matthew C. B. Zaremsky, A free subgroup in the image of the 4-strand Burau representation, Journal of Knot Theory and its Ramifications, 24 (2015), 1550065-1-16, arXiv:1304.7923.
Kim Ruane and Stefan Witzel, CAT(0) cubical complexes for graph products of finitely generated abelian groups, New York Journal of Mathematics, 22 (2016), 637-651, arXiv:1310.8646.
Stefan Witzel and Matthew C. B. Zaremsky, Thompson groups for systems of groups, and their finiteness properties, Groups, Geometry, and Dynamics, 12 (2018), 289-358, arXiv:1405.5491.
Stefan Witzel and Matthew C. B. Zaremsky, The Basilica Thompson group is not finitely presented, Groups, Geometry, and Dynamics, 13 (2019), 1255-1270, arXiv:1603.01150.
Stefan Witzel, On panel-regular Ã₂ lattices, Geometriae Dedicata, 191 (2017), 85-135, arXiv:1608.07141.
Rachel Skipper, Stefan Witzel and Matthew C. B. Zaremsky, Simple groups separated by finiteness properties, Inventiones Mathematicae, 215 (2019), 713-740, arXiv:1712.05361.
Stefan Witzel, Classifying spaces from Ore categories with Garside families, Algebraic & Geometric Topology, 19 (2019), 1477-1524, arXiv:1710.02992.
Michael Dougherty, Jon McCammond, and Stefan Witzel, Boundary braids, Algebraic & Geometric Topology, 20 (2020), 3505-3560, arXiv:1811.05603.

Books

Stefan Witzel, Finiteness Properties of Arithmetic Groups Acting on Twin Buildings, Lecture Notes in Mathematics Vol. 2109, Springer 2014.

Book chapters

Stefan Witzel and Matthew C. B. Zaremsky, The Σ-invariants of Thompson's group F via Morse theory, Topological Methods in Group Theory (N. Broaddus, M. Davis, J.-F. Lafont, I.J. Ortiz eds.), London Mathematical Society Lecture Notes Series, vol. 451, Cambridge University Press, 2018, pp. 173-103, arXiv:1501.06682.

Preprints

Ashot Minasyan, Denis Osin, and Stefan Witzel, Quasi-isometric diversity of marked groups, arXiv:1911.01137.
Jean Lécureux, Mikael de la Salle, and Stefan Witzel, Strong Property (T), weak amenability and ℓ^p-cohomology of Ã₂-buildings, arXiv:2010.07043.
Pierre-Emmanuel Caprace, Marston Conder, Marek Kaluba, Stefan Witzel, Hyperbolic generalized triangle groups, property (T) and finite simple quotients, arXiv:2011.09276.

Theses

Stefan Witzel, Finiteness Properties of Thompson Groups, Habilitation thesis, Bielfeld University.
Stefan Witzel, Finiteness Properties of Chevalley Groups over the Ring of (Laurent) Polynomials over a Finite Field, PhD thesis, TU Darmstadt, Supervisors: Prof. Ralf Gramlich, Prof. Kai-Uwe Bux.

Unpublished manuscripts

Kai-Uwe Bux, Ralf Gramlich, and Stefan Witzel, Finiteness properties of Chevalley Groups over a Polynomial Ring over a Finite Field, arXiv:0908.4531.
Stefan Witzel, Finiteness Properties of Chevalley Groups over the Laurent Polynomial Ring over a Finite Field, arXiv:1007.5216.
Kai-Uwe Bux and Stefan Witzel, Local convexity in CAT(κ)-spaces, arXiv:1211.1871.