# Research

Presently I’m a postdoc in the non-linear algebra group of Bernd Sturmfels at the Max-Planck-Institute for Mathematics in the Sciences, Leipzig.

I received my PhD within the MathCoRe research training group at Otto-von-Guericke-Universität Magdeburg under the supervision of Thomas Kahle and Volker Kaibel working on a topic in algebraic statistics.

I have a broad interest in the fundamental laws and limits in probability, information theory and geometry. My research is focussed on conditional independence: suppose you observe some factors in a (random) experiment; how does that knowledge change the interdependence of the unobserved factors? This is a question in the area of probabilistic reasoning and I am looking for the universal laws governing such reasoning tasks — and ways to prove them algebraically using computers.

The analogue to have in mind is Pappus’s theorem in plane geometry. But instead of points and collinearity, I want to discover the hidden relations of random variables in terms of stochastic independence.

These topics touch algebra, statistics, geometry and computer science. I maintain the website gaussoids.de which contains various computer-readable data about Gaussian conditional independence structures and related objects.

• Here is my full CV (last updated 06 July 2022).

## Theses

• T. Boege: The Gaussian conditional independence inference problem, doctoral dissertation, Otto-von-Guericke-Universität Magdeburg, June 2022, DOI:10.25673/86275. dissert.pdf (published version), Defense slides.

• T. Boege: Construction Methods for Gaussoids, M.Sc. thesis, Otto-von-Guericke-Universität Magdeburg, Sep 2018, mthesis.pdf.

• T. Boege: On Permutations with Decidable Cycles, B.Sc. thesis, Otto-von-Guericke-Universität Magdeburg, Dec 2016, math.LO/1612.05136.