Constantin Kogler

I'm a PhD student at Cambridge under the supervision of Emmanuel Breuillard and Péter Varjú. I recently finished my masters at ETH Zürich studying mostly under Manfred Einsiedler. My email address can be found here.

At the moment I am studying spectral gap of simple Lie groups and its relations to random walks and equidistribution. I am also interested (see my master thesis) in effective methods in homogeneous dynamics.

Image Copyright: Heidelberg Laureate Forum Foundation.

My Work

Master Thesis. Effective p-adic Ergodic Theory, Diophantine Approximation and Spectral Gap.
Bachelor Thesis. The main result is Selberg's trace formula.
Semesterpaper. We expose algebraic number theory and the basic theory of linear algebraic groups with a view towards homogeneous dynamics.
Billiards. In high school, I studied billiards in regular polygons and closed and simple geodesics on regular polyhedra.
Billiards in Regular Polygons. Published version of my results on billiards in regular polygons.

Notes of my Talks

Duke's Theorem 1. Notes for my first talk on the proof by Einsiedler, Lindenstrauss, Michel and Venkatesh of Duke's Theorem.
Duke's Theorem 2. Second talk on Duke's Theorem.
Linear Algebra. Collected notes (in german) of my Linear Algebra exercise class in Fall 2018.
Symmetric Spaces Seminar. Notes of my talk in the student seminar "Symmetric spaces of non-compact type".

Gallery

Below a collection of images is shown. Here you find my posters. Here and here are two of my videos.