| Private Homepage | https://ivv5hpp.uni-muenster.de/u/tent/ |
| Selected Publications | • Segal, Dan; Tent, Katrin Defining R and G(R). Journal of the European Mathematical Society Vol. 25 (8), 2023 online • Mueller, Isabel; Tent, Katrin Building-like geometries of finite Morley rank. Journal of the European Mathematical Society Vol. 21 (12), 2019 online • Rips E.; Tent K. Sharply 2-transitive groups of characteristic 0. Journal für die reine und angewandte Mathematik Vol. 2019 (750), 2019, pp 227-238 online • Rips, Eliyahu; Segev, Yoav; Tent, Katrin A sharply 2-transitive group without a non-trivial abelian normal subgroup. Journal of the European Mathematical Society Vol. 19 (10), 2017 online • Macpherson, Dugald; Tent, Katrin Profinite groups with NIP theory and p-adic analytic groups. Bulletin of the London Mathematical Society Vol. 48 (6), 2016 online • Tent K. Sharply 3-transitive groups. Advances in Mathematics Vol. 286, 2016, pp 722-728 online • Tent, Katrin; Ziegler, Martin On the isometry group of the Urysohn space. Journal of the London Mathematical Society Vol. 87 (1), 2013 online • Tent K Split {$BN$}-pairs of rank 2: the octagons. Advances in Mathematics Vol. 181 (2), 2004, pp 308--320 online • Tent K, Van Maldeghem H Moufang polygons and irreducible spherical {BN}-pairs of rank 2. I. Advances in Mathematics Vol. 174 (2), 2003, pp 254--265 online • Tent K Very homogeneous generalized n-gons of finite Morley rank. Journal of the London Mathematical Society Vol. 62 (1), 2000 online |
| Topics in Mathematics Münster | T3: Models and universes T4: Groups and actions T8: Random discrete structures and their limits |
| Current Publications | • Segal, Dan; Tent, Katrin Defining R and G(R). Journal of the European Mathematical Society Vol. 25 (8), 2023 online • Mueller, Isabel; Tent, Katrin Building-like geometries of finite Morley rank. Journal of the European Mathematical Society Vol. 21 (12), 2019 online • Rips E.; Tent K. Sharply 2-transitive groups of characteristic 0. Journal für die reine und angewandte Mathematik Vol. 2019 (750), 2019, pp 227-238 online • Lectures in Model Theory. , 2018 online |
| Current Projects | • EXC 2044 - T03: Models and universes This topic focusses on model theory and its applications in group theory and algebraic geometry, as well as on inner model theory and forcing axioms. Central to our research on model theory are the classification of groups or fields under model-theoretic assumptions. The interplay of the axiom of determinacy with large cardinal hypotheses and strong hypotheses which settle prominent combinatorial statements is studied in our research on set theory. online • EXC 2044 - T04: Groups and actions The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one that cuts across a wide spectrum of research within the Cluster. There are two main constellations of activity in the Cluster that coalesce around groups and dynamics as basic objects of study. Much of this research focuses on aspects of groups and dynamics grounded in measure and topology in their most abstract sense, treating infinite discrete groups as geometric or combinatorial objects and employing tools from functional analysis, probability, and combinatorics. Other research examines, in contrast to abstract or discrete groups, groups with additional structure that naturally arise in algebraic and differential geometry. online • EXC 2044 - T08: Random discrete structures and their limits Discrete structures are omnipresent in mathematics, computer science, statistical physics, optimisation and models of natural phenomena. For instance, complex random graphs serve as a model for social networks or the world wide web. Such structures can be descriptions of objects that are intrinsically discrete or they occur as an approximation of continuous objects. An intriguing feature of random discrete structures is that the models exhibit complex macroscopic behaviour, phase transitions in a wide sense, making the field a rich source of challenging mathematical questions. In this topic we will concentrate on three strands of random discrete structures that combine various research interests and expertise present in Münster. online • CRC 1442 - C04: Group theoretic aspects of negative curvature We will continue to investigate iterated small cancellation groups. We recently gave a relatively short proof of the infinity of the free Burnside groups of sufficiently large odd exponent which is based on a few important principles well-studied in hyperbolic groups. In a next step we will develop a meta theorem based on these principles which will be applicable to a wider range of problems, in particular in the context of sharply multiply transitive groups. We will also study complexes associated to hyperbolic groups from a model theoretic perspective. • EXC 2044 - A2: Groups, model theory and sets Model theory and, more generally, mathematical logic as a whole has seen striking applicationsto arithmetic geometry, topological dynamics and group theory. Such applications as well asfundamental questions in geometric group theory, on the foundations of model theory and in settheory are at the focus of our work. The research in our group reaches from group theoretic questions to the model theory of groups andvalued fields as well as set theory. The study of automorphism groups of first order structures astopological groups, for examples, uses tools from descriptive set theory leading to pure set theoretic questions. online | tent at uni-muenster dot de |
| Phone | +49 251 83-33768 |
| FAX | +49 251 83-33078 |
| Room | 810 |
| Secretary | Sekretariat Weischer Frau Paulina Winterkamp Telefon +49 251 83-33790 Fax +49 251 83-33078 Zimmer 811 |
| Address | Frau Prof. Dr. Dr. Katrin Tent Institut für Mathematische Logik und Grundlagenforschung Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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