Homepage of Frank Röttger

Welcome to my homepage!

I am a mathematician working in algebraic statistics, especially in applications in optimal design and graphical models. Furthermore, I am interested in topics in probabilistic combinatorics. Please find my publications below. You can reach me at firstname.lastname@unige.ch (with ö replaced by oe).

Since October 2020 I am a postdoctoral researcher in the group of Sebastian Engelke at the University of Geneva, Switzerland. Before, I was working at MPI MiS Leipzig in the nonlinear algebra group headed by Bernd Sturmfels. From April 2017 to March 2020 I was a PhD-student at Otto-von-Guericke University Magdeburg. My advisors were Thomas Kahle and Rainer Schwabe. I was a fellow of the research training group MathCoRe. A detailed CV is available on request.

News and Activities

• I will give a talk at Extreme Value Analysis 2021 (June 28 - July 02, 2021)

• The research training group MathCoRe was extended for a second funding phase (Report in German).

• I gave a talk at the graduate student meeting on applied algebra and combinatorics (April 21-23, 2021)

• The paper Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models, written with Tobias Boege, Jane Ivy Coons, Christopher Eur and Aida Maraj is now available on the arXiv.

• Together with Thomas Kahle and Rainer Schwabe, I wrote an article for the journal of the German Mathematical Society (in German).

Publications

Preprints:

• Tobias Boege, Jane Ivy Coons, Christopher Eur, Aida Maraj and Frank Röttger, Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models, arXiv:2009.11849

• Benjamin Brück and Frank Röttger, A central limit theorem for the two-sided descent statistic on Coxeter groups, arXiv:1908.07955

Published Articles:

• Thomas Kahle, Frank Röttger and Rainer Schwabe, The semi-algebraic geometry of saturated optimal designs for the Bradley-Terry model, Algebraic Statistics (2021), arXiv:1901.02375

• Fritjof Freise, Ulrike Graßhoff, Frank Röttger and Rainer Schwabe, D-optimal designs for Poisson regression with synergetic interaction effect, TEST (2021) , arXiv:2006.04656

• Frank Röttger, Asymptotics of a locally dependent statistic on finite reflection groups, Electronic Journal of Combinatorics (2020), arXiv:1812.00372

• Ulrike Graßhoff, Heinz Holling, Frank Röttger and Rainer Schwabe, Optimality regions for designs in multiple linear regression models with correlated random coefficients, Journal of Statistical Planning and Inference (2020), arXiv:1911.05538

Miscellaneous:

• Geometry of Optimal Design and Limit Theorems, PhD thesis (2020) at Otto-von-Guericke University Magdeburg.

• Geometrie optimaler Versuchspläne, mit Thomas Kahle und Rainer Schwabe (2020), Mitteilungen der Deutschen Mathematiker-Vereinigung, 28(2), 71-76.

• Research brief Geometry of Optimal Design, MPI MiS Leipzig research briefs (2020)