Homepage of Frank Röttger

Welcome to my homepage!

I am a mathematician working in mathematical statistics, especially in graphical models, optimal design, and algebraic statistics. 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 gave a talk at the "Heavy Tails, Long-Range Dependence, and Beyond" conference at CIRM, Luminy (July 4 - 8)

• I gave a talk at the IMS annual meeting in London (June 27 - 30)

• The paper The geometry of Gaussian double Markovian distributions, written with Tobias Boege, Andreas Kretschmer and Thomas Kahle, was accepted for publication in the Scandinavian Journal of Statistics.

• I gave a talk at DAGStat 2022 (March 28 - April 01)

• The paper Total positivity in multivariate extremes, written with Sebastian Engelke and Piotr Zwiernik, is now available on the arXiv.

Publications

Preprints:

• Frank Röttger, Sebastian Engelke and Piotr Zwiernik, Total positivity in multivariate extremes, arXiv:2112.14727

• Tobias Boege, Thomas Kahle, Andreas Kretschmer and Frank Röttger, The geometry of Gaussian double Markovian distributions, accepted for publication in the Scandinavian Journal of Statistics, arXiv:2107.00134

Published Articles:

• Tobias Boege, Jane Ivy Coons, Christopher Eur, Aida Maraj and Frank Röttger, Reciprocal Maximum Likelihood Degrees of Brownian Motion Tree Models, Le Matematiche (2021), arXiv:2009.11849

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

• 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

• Benjamin Brück and Frank Röttger, A central limit theorem for the two-sided descent statistic on Coxeter groups, Electronic Journal of Combinatorics (2022), arXiv:1908.07955

• 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

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

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)