Daniel Lütgehetmann

Daniel Lütgehetmann
About me

I am a PhD student at Berlin Mathematical School. I work at Freie Universität Berlin in my adviser Holger Reich's algebraic topology research group.

My main research interests are configuration spaces of graphs and Teichmüller theory.

Here is my CV.

Daniel Lütgehetmann
Institut für Mathematik, AG Topologie
Arnimallee 7
Raum 212
14195 Berlin
daniel.luetgehetmann[at]fu-berlin.de
Webpage at FU Berlin
P: +49 30 838 75327
Documents
Representation Stability for Configuration Spaces of Graphs
We consider for two based graphs G and H the sequence of graphs Gk given by the wedge sum of G and k copies of H. We show that the sequence of representations of the symmetric group given by the rational homology of the configuration space of these spaces is representation stable in the sense of Church and Farb. ( link )
The Homology of Configuration Spaces of Graphs joint with Safia Chettih
We show that the homology of configuration spaces of finite graphs is torsion free. Furthermore, we give a concrete generating set for the homology of configuration spaces of finite trees. ( link )
Master's Thesis: Configuration Spaces of Graphs
We investigate the cohomology of configuration spaces of graphs and its behaviour when stabilizing the number of particles. ( pdf )
Bachelor's Thesis: The Lipschitz Distance on Outer Space
We give an overview over the Lipschitz distance on Outer Space. ( pdf )
Media
Cycles of the Homology of Configuration Spaces of Graphs Configuration Space of the dumbbell graph
This is a small JavaScript which animates a generating set for the integral homology of the configuration spaces of certain graphs. The homology has been calculated with the help of CHomP and Sage. Start Animation
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