My Research Group



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Postdocs, Research Associates and Lecturers

2020 - 2024 Dr. Livio Liechti, Senior Assistant
2017 - 2024 Dr. Matthieu Jacquemet (HES Sion), Lecturer
2020 - 2024 Dr. Christine Zehrt (UniBas), Lecturer


Research Visitors

September 2024 Yohei Komori, Waseda University
August 2024 Marston Conder, University of Auckland
April - mid May 2024 Jun Nonaka, Waseda University Senior High School
March 2023 Tomoshige Yukita, Waseda University
November 2022 Yohei Komori, Waseda University
August - Sept 2022 Tomoshige Yukita, Waseda University
June 2020 - POSTPONED Marston Conder, University of Auckland


Doctoral Students

2024 Dr. Naomi Bredon, On the existence and growth properties of hyperbolic Coxeter groups
2021 Dr. Simon Drewitz, New contributions to groups of hyperbolic isometries
2020 Dr. Edoardo Dotti, Groups of hyperbolic isometries and their commensurability
2018 Dr. Tomoshige Yukita, Arithmetic properties of growth rates of hyperbolic Coxeter groups, PhD thesis supervised together with Yohei Komori (Waseda University, Tokyo), awarded the 2018 Azusa Ono Memorial Awards of Waseda University for his paper in the Canadian Math Bulletin
Fall 2017, 4 months Alexandre Bellis (Rennes 1; Ph.D. student of F. Dal'bo; bourse UniFR)
2017 Dr. Rafael Guglielmetti, Hyperbolic isometries in (in-)finite dimensions and discrete reflection groups: theory and computations
2015 Dr. Jordane Granier, Groupes discrets en géométrie hyperbolique - Aspects effectifs,
PhD thesis "en cotutelle" with Martin Deraux (Institut Fourier, Grenoble),
awarded the Prix Vigener of the University of Fribourg;
awarded the Prize of the 16th Graduate Colloquium, Swiss Doctoral School of Mathematics, 2016
2015 Dr. Matthieu Jacquemet, New contributions to hyperbolic polyhedra, reflection groups, and their commensurability,
awarded the Prize of the 9th Graduate Colloquium, Swiss Doctoral School of Mathematics, 2012
2014 Dr. Yuriko Umemoto, Growth rates of cocompact hyperbolic Coxeter groups and 2-Salem numbers,
PhD thesis supervised together with Yohei Komori (Waseda University, Tokyo)
2012 Dr. Alexander Kolpakov, On extremal properties of hyperbolic Coxeter polytopes and their reflection groups
Spring 2010, 3 months James Thompson (Durham; Ph.D. student of John Parker; Erasmus visitor)
2009 Dr. Geneviève Perren, Growth of cocompact hyperbolic Coxeter groups and their rate
2009 Dr. Vincent Emery, Du volume des quotients arithmétiques de l'espace hyperbolique,
awarded the Prix de la Faculté
2007 Dr. Thierry Hild, Cusped hyperbolic orbifolds of minimal volume in dimensions less than 11,
awarded the Prix de la Faculté
2003 Dr. Thomas Zehrt, Polytopal Complexes in Spaces of Constant Curvature

Master and diploma students

2023 Mathias Blaise, On isometric invariants of cusped hyperbolic manifolds
2021 William Schaller, Constructing hyperbolic manifolds with quivers - A new technique by Felikson and Tumarkin
2021 Mickaël Gentizon, Des groupes de Coxeter hyperboliques aux variétés quotient lisses
2016 Delphine Kolly, Orbifolds hyperboliques non-compactes de volume minimal en basse dimension
2015 Jérôme Chammartin, Characters and product of commutators
2015 Claude Buchler, A theorem of Margulis for Kleinian groups
2014 Jenny Genazzi, Étude autour de la géométrie, topologie et arithmétique du problème de Lehmer
2014 Florian Morel Chevillet, Applications of Vinberg's algorithm to some indefinite quadratic forms
2012 Julie Brönnimann, Sur quelques contributions de Zagier autour de la fonction zêta de Dedekind
Aug - Sept 2010 Yuriko Umemoto (Osaka City University; Master student of Yohei Komori; visitor)
2010 Matthieu Jacquemet, The Discovery of Hyperbolization of Knot Complements
2010 Annick Schmitgen, On the Volume Conjecture for Hyperbolic Knots, awarded the
Prix Vigener by the University of Fribourg
2009 Daniel Neyen, Sur le corps de traces d'un groupe de Klein cocompact et son rôle dans l'étude de la commensurabilité
2009 Jill Thomé, Variationen über Lehmer's Problem in der algebraischen Zahlentheorie
2008 Claudine Philippart, Semi-cyclic and ideal codes
2004 Vincent Emery, Construction de variétés hyperboliques à l'aide de représentations finies de groupes de Coxeter
2004 Geneviève Perren, Les séries d'accroissement des groupes avec ensemble fini de générateurs
2003 Thierry Hild, Einsicht in die Geometrie hyperbolischer Orbifolds, awarded the Prix du meilleur poster de la Faculté
1999 Thomas Zehrt (at Universität Göttingen), Die Eulercharakteristik nichtkompakter Mannigfaltigkeiten mit Spitzen und der Satz von Gauss-Bonnet
1998 Karen Schultz (at Universität Göttingen), Das dritte Hilbertsche Problem im Euklidischen Raum

Former research associates

2020 Dr. Edoardo Dotti, postdoc assistant
2019 Prof. Ivan Izmestiev, professor, TU Wien
2017 Dr. Zoé Philippe, postdoc assistant (part time)
2016 Dr. Jordane Granier, assistant
2015 Dr. Thomas Mettler, postdoc assistant (part time)
2015 Dr. Jung Kyu Canci, lecturer
2014 Dr. Claude Marion, part time senior assistant
2014 Dr. Ann Kiefer, research associate Pool-UniFR, postdoc Bielefeld
2014 Dr. Scott Thomson, research associate SNF, stipend MPIM Bonn
2013 Dr. Paul Turner
2012 Dr. Daniele Alessandrini, postdoc SNF; Universität Heidelberg
2012 Dr. Laura Ciobanu, senior assistant; Ambizione stipend, Université Neuchatel
2012 Dr. Matthieu Gendulphe, postdoc SNF, research associate, chargé de cours; visiting assistant professor, Indiana University
2011 Dr. Julien Paupert, postdoc SNF; assistant professor tenure track, ASU Tempe
2010 Dr. Geneviève Perren, postdoc assistant
2010 Dr. Jean-Marie Droz, postdoc SNF
2010 Dr. Gautier Berck, postdoc assistant
2009 Prof. Dr. Andreas Bernig (SNF Förderprofessor); W3 professor, Goethe-Universität Frankfurt
2009 Dr. Thomas Zehrt, postdoc SNF; lecturer, Universität Basel
2008 Dr. Evelina Viada (MHV stipend); SNF-Förderprofessorin, Universität Basel
2008 Dr. Anna Felikson (INTAS Young Fellow); research associate, MPI Mathematik, Bonn
2008 Dr. Pavel Tumarkin (INTAS Young Fellow); lecturer, Jacobs-Universität Bremen
2008 Dr. François Fillastre, postdoc SNF; maître de conférences, Université Cergy-Pontoise
2007 Dr. Christine Zehrt-Liebendörfer; lecturer, Universität Basel
2007 Dr. Claude Auderset (senior lecturer), retired
2004 Dr. Alexandre Casamayou
2003 Dr. Richard Péreyrol
2003 PD Dr. Patrick Ghanaat; senior lecturer (MER), Université Fribourg
2002 Dr. Marcel Steiner, postdoc SNF; lecturer, FH Nordwestschweiz
2002 Dr. Kurt Falk, postdoc SNF; lecturer, Universität Bremen