Presently I’m a postdoc at UiT The Arctic University of Norway in Tromsø under the supervision of Cordian Riener. Before that I spent a year in the group of Liam Solus at KTH Stockholm, Kaie Kubjas’s group at Aalto University and in the non-linear algebra group of Bernd Sturmfels at MPI-MiS 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 remaining 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 and CInet, a more high-tech and more general repository for software and research data conditional independence.

- Here is my full CV (last updated 08 April 2024).
- My ORCiD is
`0000-0001-7284-182`

. - Also see my Google Scholar profile.

- T. Boege:
**No eleventh conditional Ingleton inequality**, Experimental Mathematics, 2023, DOI:10.1080/10586458.2023.2294827,`cs.IT/2204.03971`

. MathRepo:`ConditionalIngleton`

.

- T. Boege, J. Selover, M. Zubkov:
**Sign patterns of principal minors of real symmetric matrices**,`math.CO/2407.17826`

, 2024. MathRepo:`SymmetricPrincipalMinorSigns`

.

T. Boege, M. Drton, B. Hollering, S. Lumpp, P. Misra, D. Schkoda:

**Conditional Independence in Stationary Diffusions**,`math.ST/2408.00583`

, 2024.T. Boege, K. Kubjas, P. Misra, and L. Solus:

**Colored Gaussian DAG models**,`math.ST/2404.04024`

, 2024. Code:`coloredDAGs`

.T. Boege:

**Algebra in probabilistic reasoning**, Computeralgebra-Rundbrief 71:15–20, 2022,`math.ST/2211.04164`

.T. Boege, S. Petrović, and B. Sturmfels:

**Marginal Independence Models**, Proceedings of the 47th International Symposium on Symbolic and Algebraic Computation 2022:263–271, 2022, DOI:10.1145/3476446.3536193,`math.ST/2112.10287`

. MathRepo:`MarginalIndependence`

, auxiliary code and data:`CI-models-from-graphs`

.T. Boege, T. Kahle, A. Kretschmer, and F. Röttger:

**The geometry of Gaussian double Markovian distributions**, Scandinavian Journal of Statistics 50(2):665–696, 2023, DOI:10.1111/sjos.12604,`math.ST/2107.00134`

. Data: Double Markovian relations.T. Boege, J. I. Coons, C. Eur, A. Maraj, and F. Röttger:

**Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models**, Le Matematiche 76(2):383–398, 2021, DOI:10.4418/2021.76.2.6,`math.ST/2009.11849`

.

T. Boege, J. H. Bolt, and M. Studený:

**Self-adhesivity in lattices of abstract conditional independence models**,`math.CO/2402.14053`

, 2024.T. Boege:

**Selfadhesivity in Gaussian conditional independence structures**, Proceedings of the 12th Workshop on Uncertainty Processing (WUPES ’22) and International Journal of Approximate Reasoning 163, 2023, DOI:10.1016/j.ijar.2023.109027,`cs.IT/2205.07667`

, MathRepo:`SelfadhesiveGaussianCI`

.*This set of research data won the “FAIRest MathRepo page” award 2022 at the “MaRDI, Oscar and MathRepo” conference in Berlin.*T. Boege:

**Incidence geometry in the projective plane via almost-principal minors of symmetric matrices**,`math.ST/2103.02589`

, 2021.T. Boege:

**Gaussoids are two-antecedental approximations of Gaussian conditional independence structures**, Annals of Mathematics and Artificial Intelligence 90:645–673, 2022, DOI:10.1007/s10472-021-09780-0,`math.ST/2010.11914`

. Code related to computations:`gaussant-code`

. The published version contained misprints for a couple of months. They have been corrected under the above DOI and a statement was published here.T. Boege, and T. Kahle:

**Construction Methods for Gaussoids**, Kybernetika 56(6):1045–1062, 2020, DOI:10.14736/kyb-2020-6-1045,`math.CO/1902.11260`

. Data: Special gaussoids.T. Boege, A. D’Alì, T. Kahle, and B. Sturmfels:

**The Geometry of Gaussoids**, Foundations of Computational Mathematics, 19(4):775–812, 2019, DOI:10.1007/s10208-018-9396-x,`math.CO/1710.07175`

. Data: Gaussoids.de.

- T. Boege, R. Fritze, Ch. Görgen, J. Hanselman, D. Iglezakis, L. Kastner, Th. Koprucki, T. Krause, Ch. Lehrenfeld, S. Polla, M. Reidelbach, Ch. Riedel, J. Saak, B. Schembera, K. Tabelow, and M. Weber:
**Research-Data Management Planning in the German Mathematical Community**, EMS Magazine, 2023, DOI:10.4171/mag/152,`math.HO/2211.12071`

.

T. Boege:

**The Gaussian conditional independence inference problem**,*doctoral dissertation, Otto-von-Guericke-Universität Magdeburg*, 2022, DOI:10.25673/86275. dissert.pdf (published version), Defense slides. I won the dissertation prize of the University of Magdeburg in the academic year 2021/2022. They produced a short portrait film:T. Boege:

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

**On Permutations with Decidable Cycles**,*B.Sc. thesis, Otto-von-Guericke-Universität Magdeburg*,`math.LO/1612.05136`

, 2016.