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Dr Panos Papazoglou

Fellow in Mathematics

Introduction

I received my BA in Mathematics from the University of Crete and my PhD from Columbia University in New York. After that I held positions at the University of Warwick, at the University of Paris-Sud and at the University of Athens. I came to Queen’s in 2009.

Teaching

I teach pure mathematics to first and second year students at Queen’s. I usually teach Linear Algebra and Groups, Fields and Rings to first year students and Group Theory, Fields, Number Theory and Multivariable Calculus to second year students.

Research

I started my research studying Group actions on Trees. I moved on to Geometric Group Theory a relatively new approach to infinite groups whereby one treats groups as geometric objects. This led me to questions related to topology and geometry. Some specific topics that I studied are JSJ-decompositions of groups, isoperimetric inequalities both for groups and spaces and non-positively curved groups.

Publications

Splittings and the asymptotic topology of the lamplighter group, Trans. AMS, vol. 364, p. 3861- 3873 (2012)

Codimension one subgroups and boundaries of hyperbolic groups, with T. Delzant. Groups, Geometry and Dynamics, vol. 4, issue 3, p. 533-548 (2010)

Boundaries and JSJ decompositions of CAT(0) groups, with E. Swenson. GAFA, Volume 19, Number 2 , p.558-590 (2009)

Cheeger constants of surfaces and isoperimetric inequalities, Trans. Amer. Math. Soc. 361 (2009), p. 5139-5162.

JSJ decompositions and complexes of groups with K.Fujiwara, GAFA v.16, n.1, p.70-125 (2006).

Quasi-isometry invariance of group splittings, Annals of Math. v.161, n. 2, p.759{830 (2005).