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 did my PhD studies within the MathCoRe research training group at Otto-von-Guericke-Universität Magdeburg under the supervision of Thomas Kahle and Volker Kaibel.

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 $k$ 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 computer-algebraically.

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 11 Apr 2022).

T. Boege:

**Selfadhesivity in Gaussian conditional independence structures**, May 2022,`cs.IT/2205.07667`

, MathRepo:`SelfadhesiveGaussianCI`

.T. Boege:

**No eleventh conditional Ingleton inequality**, Apr 2022,`cs.IT/2204.03971`

, MathRepo:`ConditionalIngleton`

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

**Marginal Independence Models**, Dec 2021,`math.ST/2112.10287`

. MathRepo:`MarginalIndependence`

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

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

**The geometry of Gaussian double Markovian distributions**, Jul 2021,`math.ST/2107.00134`

. Data: Double Markovian relations.T. Boege:

**Incidence geometry in the projective plane via almost-principal minors of symmetric matrices**, Mar 2021,`math.ST/2103.02589`

.T. Boege:

**Gaussoids are two-antecedental approximations of Gaussian conditional independence structures**, Annals of Mathematics and Artificial Intelligence, 2021, 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, 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, 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, Aug 2019, DOI:10.1007/s10208-018-9396-x,`math.CO/1710.07175`

. Data: Gaussoids.de.

T. Boege:

**The Gaussian conditional independence inference problem**,*doctoral dissertation, Otto-von-Guericke-Universität Magdeburg*, Nov 2021, dissert.pdf (submitted 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`

.

- 3 June 2022:
*Selfadhesivity in Gaussian conditional independence structures*, WUPES ’22, Kutná Hora. - 5 May 2022:
*Marginal independence models*, Applied Algebra and Analysis Online seminar, TU Braunschweig. - 5 May 2022:
*Laws of conditional independence*, Vista seminar on “Reusability of research data across mathematics”, University of Leipzig. - 20 April 2022:
*Entropies and Ingleton’s inequality*, Non-linear algebra seminar, MPI-MiS Leipzig. - 10 March 2022:
*The laws of Gaussian conditional independence*, Tagung der Fachgruppe Computeralgebra, München. - 28 January 2022:
*Marginal independence models*, TATERS, Boise State University. Recording is available until mid-2022. - 14 October 2021:
*The Gaussian CI inference problem (real algebra version)*, Non-linear algebra seminar, MPI-MiS Leipzig. - 5 October 2021:
*Reasoning in Statistics through Algebra*, Annual colloquium of MathCoRe, Potsdam. - 13 September 2021:
*The Gaussian CI inference problem (information theory version)*, Mini symposium at the Department of Decision-Making Theory, Institute of Information Theory and Automation, Prague. - 7 September 2021:
*The Gaussian CI inference problem (algorithmic reasoning version)*, Algorithms seminar, Universiteit Utrecht. - 28 July 2021:
*The Gaussian CI inference problem (geometry version)*, Discrete Mathematics / Geometry seminar, TU Berlin. - 22 August 2019:
*On discrete representability of Gaussian CI models — From the perspective of the identity matrix*, Workshop in memory of František Matúš, Institute of Information Theory and Automation, Prague.

**MathCoRe seminar in Magdeburg:**

- 28 April 2021:
*Two universality results for Gaussian CI models.* - 04 November 2020:
*Computational methods in Gaussian conditional independence inference.* - 16 October 2019:
*Gaussian conditional independence structures around the identity matrix.* - 10 October 2018:
*Constructions methods for gaussoids.*

**WISST mini-seminar in Magdeburg:**

- 27 April 2021: What is… a Galois connection?
- 09 February 2021: What is… the Lefschetz principle?
- 27 October 2020: What is… the Real Nullstellensatz?
- 04 February 2020: What is… a hyperfield?
- 10 December 2019: What is… a polymatroid?

- August 2022:
*Leipzig-Magdeburg seminar day*at MPI-MiS Leipzig, together with Thomas Kahle. - June 2022:
*Mathematical Software: How to get started*tutorial at MPI-MiS Leipzig, together with Ronald Kriemann and Javier Sendra Arranz. - March – June 2022:
*Non-linear algebra seminar*at MPI-MiS Leipzig, together with Alessandro Neri. - April 2021:
*Graduate student meeting on Applied Algebra and Combinatorics*, together with Angélica Torres Bustos, Beatriz Pascual Escudero and Benjamin Smith, virtually in Copenhagen. - December 2020 – October 2021:
*MathCoRe fellow seminar*at OvGU Magdeburg.

- December 2022: Workshop on
*Algebraic structures in statistical methodology*, MFO Oberwolfach. - August 2022:
*European Women in Mathematics General meeting*, Aalto. - July 2022: Workshop on
*Algorithmic aspects of information theory*, Schloss Dagstuhl. - July 2022: 47th International Symposium on
*Symbolic and Algebraic Computation*(ISSAC), Lille. - June 2022: Annual Meeting of the IMS, London.
- June 2022: Arctic MSCA Symposium with Cordian Riener, Tromsø.
- June 2022: 12th Workshop on
*Uncertainty processing in expert systems*(WUPES), Kutná Hora. - May 2022: Saxonian seminar day on
*Algebra and geometry*, Dresden. - March 2022: Combinatorial cowork space on
*Algebraic and geometric combinatorics*, Kleinwalsertal. - March 2022: Tagung der Fachgruppe Computeralgebra, München.
- November 2021: MaRDI kickoff workshop, MPI-MiS Leipzig.
- 1 October 2021: Mathematics in the Sciences Day, MPI-MiS Leipzig.
- 12–18 September 2021: Research stay at UTIA Prague with Milan Studený.
- August 2021: Conference
*SIAM AG*, Texas A&M. - July 2021: Mini-course on
*Convex Geometry*, MPI-MiS Leipzig. - April
~~2020~~2021:*Graduate student meeting in Applied algebra and combinatorics*, Online, Copenhagen. - April 2021: Compact course
*Algebra of tensors*, MathCoRe Magdeburg. - August 2020: Compact course
*Polynomial optimization*, MathCoRe Magdeburg. - June – July 2020: Working group on
*Linear spaces of symmetric matrices*, MPI-MiS Leipzig. - June – August 2020: Mentoring of Garett Cunningham in summer project
*Formal conditional independence structures*. Organized by DAAD-RISE, executed online. - March 2020: Spring school on
*Mathematical statistics*, MPI-MiS Leipzig,**canceled**. - March 2020: Workshop
*Algebraic structures in statistical methodology*, Oberwolfach,**canceled**. - October 2019: Workshop on
*Graphical models: Conditional independence and algebraic structures*, München. - September 2019: Compact course
*Statistical data acquisition and analysis*, MathCoRe Magdeburg. - August 2019: Workshop in
*memory of František Matúš*, UTIA CAS, Prague. - July 2019: Conference
*SIAM AG*, Bern. - June 2019: Workshop on
*Applied algebra*, Braunschweig. - June 2019: Compact course
*Invitation to non-linear algebra*, MPI-MiS Leipzig. - February 2019:
*Graduate student meeting in Applied algebra and combinatorics*, MPI-MiS Leipzig. - January 2019: Workshop on
*Theoretical computer science and algebraic geometry*, MPI-INF Saarbrücken. - June 2018: Macaulay2 Workshop, MPI-MiS Leipzig.
- July 2016:
*Foundations of Mathematics: Univalent foundations and set theory*, ZiF Bielefeld.