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)