Sprechstunde

Monday 9:00 - 10:00 in NA-Süd Container 0/18

Research interests

Stochastic and Convex Geometry : Random Tesselation ; Polytope Approximation

Short CV

Since October 2016 : PostDoc, University of Bochum
2013-2016 : Ph.D. Student (advisor Prof. Dr. techn. Matthias Reitzner), University of Osnabrueck
2012-2013 : Master of Advanced Mathematics, University of Barcelona
2010-2012 : Teaching in secondary school and high school, Paris
2009-2010 : Agrégation de Mathématiques (French national competitive examination to be a teacher), preparation at the University of Bordeaux
2008-2009 : Master of Mathematics (2nd year), University of Bordeaux
2007-2008 : Master of Mathematics (1st year, Erasmus), University of Manchester
2004-2007 : Licence of Mathematics : University of Bordeaux

Publications

The maximal degree in a Poisson-Delaunay graph, joint work with N. Chenavier, arXiv:1804.01416

Threshold phenomena for high-dimensional random polytopes, joint  work with G. Chasapis, J. Grote, D. Temesvari and N. Turchi, arXiv:1802.04089, accepted in Communications in Comtemporary Mathematics

Monotonicity of facet numbers of random convex hullsjoint work with J. Grote, D. Temesvari, C. Thäle, N. Turchi and F. Wespi, Journal of Mathematical Analysis and Applications 455 (2017) 1351-1364

Small cells in a Poisson hyperplane tessellation, Advances in Applied Mathematics 95 (2018) 31-52

Cells with many facets in a Poisson hyperplane tessellation, joint work with P. Calka and M. Reitzner, Advances in Mathematics 324 (2018) 203-240

Polytopal approximation of elongated convex bodies, Advances in Geometry 18 (2018) 105-114

Ph.D. Thesis

Poisson hyperplane tessellation: Asymptotic probabilities of the zero and typical cells, supervised by Prof. Dr. Matthias Reitzner

 

Selected talks

13/04/2018, Maximal degree in a Poisson-Delaunay graph,
STAR Workshop on Random Graphs,
Nijmegen, Netherland

28/02/2018, Monotonicity of facet numbers of random convex hulls,
German Probability and Statistic Days
Freiburg, Germany

20/02/2018 Threshold phenomena for high-dimensional random polytopes,
BOS workshop (BOchum meets OSnabrück)
Bochum, Germany

18/05/2017, Maximal degree in a Poisson-Delaunay graph,
19th Workshop on Stochastic Geometry, Stereology and Image Analysis,
Marseille, France

11/10/2017, Poisson hyperplane tessellation: Asymptotic probabilities of the zero and typical cells,
Evaluation of the Graduate school ``Combinatory Structures in Geometry'',
Osnabrueck, Germany

29/09/2017, Poisson hyperplane tessellation: Asymptotic probabilities of the zero and typical cells,
Seminar of the probability group of the university of Paris 5,
Paris, France

23/11/2016, The zero cell of a Poisson hyperplane tessellation,
Research seminar of the Stochastic Geometry research group of Lille,
Lille, France

02/03/2016, Cells With Many Facets in a Hyperplane Mosaic
12th German Probability and Statistics Days
Bochum, Germany

18/02/2016, Cells With Many Facets in a Hyperplane Mosaic
Thiele-CSGB Seminar
Aarhus, Denmark

19/11/2015, Cells With Many Facets in a Hyperplane Mosaic
Seminar of the University Littoral Cˆotes d’Opal
Calais, France

28/08/2015, Cells With Many Facets in a Hyperplane Mosaic
Stochastic geometry days
Poitiers, France

18/06/2015, Cells With Many Facets in a Hyperplane Mosaic
Summer-school on probability and mathematical physics VIII
Ghiffa-Oggebbio.

22/09/2014, Small cells in a random hyperplane mosaic
Workshop on Tensor Valuations in Stochastic Geometry and Imaging
Sandbjerg Estate, Denmark

Posters

09/09/2015, Cells with Many Facets in a Random Hyperplane Mosaic
Geometry and Physics of Spatial Random Systems
Bad Herrenalb, Germany

25/03/2015, Cells with Many Facets in a Random Hyperplane Mosaic, received the price "Best poster awards"
18th Workshop on Stochastic Geometry, Stereology and Image Analysis
Lingen, Germany

19/03/2014, Shape and size of the cells in a random hyperplane mosaic
Winter school of the Graduate college of the university of Osnabrueck
Bad Beversen, Germany

Research stays at other research institutions:

01-19/02/2016, Markus Kiderlen, Aarhus, Denmark
16-20/11/2015, Nicolas Chenavier, Calais, France
10-13/02/2015, Ilya Molchanov, Bern, Switzerland
15-16/01/2015, Pierre Calka, Rouen, France
15-16/12/2014, Christoph Thäle, Bochum, Germany

Contact

mail: gilles.bonnet "at" rub.de
phone number: 0234 - 32 - 19118
Postal address: Ruhr Universität Bochum, Universitätstr. 150, Fakultät für Mathematik, 44780 Bochum, NA Süd 0/18