Homepage of Frank Röttger

Welcome to my homepage! 

I am a mathematician working in mathematical statistics, especially in graphical models, multivariate extremes, optimal design, and algebraic statistics. Furthermore, I am interested in topics in probabilistic combinatorics. Please find my publications below. You can reach me at f.lastname@tue.nl (with ö replaced by o).

Since September 2023 I am an assistant professor in the Statistics group at TU Eindhoven. Before, I was a postdoctoral researcher with Sebastian Engelke at the University of Geneva, Switzerland and in the nonlinear algebra group of Bernd Sturmfels at MPI MiS Leipzig. From April 2017 to March 2020 I was a PhD-student at Otto-von-Guericke University Magdeburg as a fellow of the research training group MathCoRe. My advisors were Thomas Kahle and Rainer Schwabe. A detailed CV is available on request.

News and Activities

• Together with Gloria Buriticá, Sebastian Engelke and Jonas Peters we are organizing a workshop "Causality in Extremes" in Geneva in February 2024.

• The paper Parametric and nonparametric symmetries in graphical models for extremes, jointly written with Jane Ivy Coons and Alexandros Grosdos, is now available on the arXiv.

• The paper Total positivity in multivariate extremes, jointly written with Sebastian Engelke and Piotr Zwiernik was accepted for publication in the Annals of Statistics.

Publications

Preprints:

• Frank Röttger, Jane Ivy Coons and Alexandros Grosdos, Parametric and nonparametric symmetries in graphical models for extremes, arXiv:2306.00703 

• Frank Röttger and Quentin Schmitz, On the local metric property in multivariate extremes, arXiv:2212.10350

• Frank Röttger, Thomas Kahle and Rainer Schwabe, Optimal designs for discrete choice models via graph Laplacians, arXiv:2208.08926

Published Articles:

• Frank Röttger, Sebastian Engelke and Piotr Zwiernik, Total positivity in multivariate extremes, arXiv:2112.14727, Annals of Statistics (2023)

• Tobias Boege, Thomas Kahle, Andreas Kretschmer and Frank Röttger, The geometry of Gaussian double Markovian distributions, Scandinavian Journal of Statistics (2022), arXiv:2107.00134

• 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)