Notes
Lecture notes
This is a collection of advanced lecture notes and shorter surveys that try to cover the simplest cases of various non-trivial results. The notes are intended to be helpful for the advanced learner of geometric and analytic group theory. Please let me know if you have any comments or ideas how to improve the presentation.
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An example of a non-sofic hyperbolic group
Commentary to OpenAI 252 by Andreas Thom and Harjas Sandhu, Oct 13, 2026
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The Unitary Duals of PSL2(ℝ) and PSL3(ℝ)
Notes on a description of the full unitary duals of PSL2(ℝ) and PSL3(ℝ), Sep 2026
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Classification of minimal non-spherical Coxeter diagrams
Notes on the classification of minimal non-spherical Coxeter diagrams, Jul 2026
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Lattices in SL(3,R)
Notes on the classification of lattices in SL(3,R) based on Margulis Superrigidity Theorem, Feb 2026
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Geometric and Analytic Group Theory
Lecture notes based on a course on Geometric and Analytic Group Theory at TUD, 25-26, Jan 2026
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On finite approximations of transitive graphs
A note on vertex-transitive graphs without perfect finite local models, Feb 2025
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Approximation of functions by neural networks
Notes on approximating measurable functions on the hypercube using affine neural networks, Jan 2019