Guy Buss

Contact

Office: 2.009 - Please don't hesitate to come by
E-mail: guybuss (at) math (dot) uni-bonn (dot) de
Tel: 0228 73-7782

Research Interests

I am a PostDoc researcher here at the university of Bonn. My main interests are Teichmueller and Moduli Spaces, Kleinian Groups, the Topology of Symplectomorphism Groups and Geometric Quantization.

Publications and Preprints

Pseudo-Distances on Symplectomorphism Groups and Applications to Flux Theory, (with Remi Leclercq), to appear in Mathematische Zeitschrift
Higher Bers Maps, to appear in Asian Journal of Mathematics
Families of Line Bundles over Riemann Surfaces, their Sections, and their Degenerations -- A Constructive Approach using Automorphic Forms, submitted

On the Construction and Behaviour of Automorphic Forms over Completions of Teichmueller Spaces and Higher Bers Maps, Ph.D. Thesis, University of Leipzig, Germany

Teaching

WS 2011/12

Hauptseminar Geometrie: '(Lineare) Liesche Gruppen'
This seminar will be an introduction to Lie groups via linear groups. Linear Lie groups represent an ideal starting ground into more abstract differential geometry, despite being very important on their own; on the one hand they are fairly explicit and lots of calculations can be done and phenomena seen concretely, yet their geometry is not at all 'trivial'. In fact, a sound knowledge of Lie groups is essential for modern geometry, and this seminar will try to provide a good introduction with a focus on explicitness instead of abstraction. No prior knowledge in geometry is needed, only multi-variable calculus, linear algebra and basic topology.

List of Talks:
You can find a list of talks here. If you want to participate and give a talk, you can pick one and email me. He who picks a given talk first gets it, so do not hesitate.

Time and Place:
The seminar will take place tuesdays, 10:00 - 12:00 in room 0.006.

Main references:
W. Rossmann: Lie Groups - An Introduction through Linear Groups
B. Hall: Lie groups, Lie Algebras, and Representations: an Elementary Introduction

Also, consider attending the lecture by Prof. Ballmann on symmetric spaces, which has a lot to do with Lie groups, although this lecture might be a bit more advanced.

SS 2011

Lubotzkys 'Discrete Groups, Expanding Graphs and Invariant Measures'
This is a reading course on this very dense and interesting book. Contact me directly if you are interested in participating.

The Arxiv finds Seminar in Topology and Geometry
This is a weekly meeting where we present interesting 'finds' on the arxiv. Every participant is supposed to be active, i.e., speak bi-weekly. We meet wednesdays at 14:15 in room 2.008 or in the Hausdorff Institute.

WS 2010/11

The arithmetic of hyperbolic 3-manifolds (together with Prof. Hamenstaedt)
This will be a 4 hour course for master students, where each week there will be one lecture by Prof. Hamenstaedt, and a seminar with discussions and talks given by students. The canonical reference for this class is: C. Maclachlan, A. Reid: The arithmetic of hyperbolic 3-manifolds, GTM 219, Springer, 2003.

The Arxiv finds Seminar in Topology and Geometry
This is a weekly meeting where we present interesting 'finds' on the arxiv. Every participant is supposed to be active, i.e., speak bi-weekly.