Fachbereich Mathematik und Informatik FB 10

Private Homepage	https://sites.google.com/site/akwiatkmath/
Project membership Mathematics Münster	A: Arithmetic and Groups A2: Groups, model theory and sets
Current Projects	• CRC 1442: Geometry: Deformation and Rigidity - C05: Rigidity of group topologies and universal minimal flows We will study automatic continuity and universal minimal flows for topological groups acting on geometric objects. First, we focus on rigidity of group topologies, motivated by a question due to Rosendal on the existence of a locally compact infinite group with the automatic continuity property. We want to study this question for Burger–Mozes groups. Furthermore, motivated by a question of Evans–Hubička–Nešetřil, we want to understand when universal minimal flows of kaleidoscopic groups are metrisable. Our methods will involve interactions between group theory, topological dynamics and Ramsey theory. online • 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
E-Mail	kwiatkoa at uni-muenster dot de
Phone	+49 251 83-33760
FAX	+49 251 83-33078
Room	805
Secretary	Sekretariat Weischer Frau Paulina Weischer Telefon +49 251 83-33790 Fax +49 251 83-33078 Zimmer 811
Address	JProf. Dr. Aleksandra Kwiatkowska Institut für Mathematische Logik und Grundlagenforschung Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland
	Diese Seite editieren