Contact
Université Denis Diderot (Paris VII)
Institut de Mathématiques de Jussieu - UMR 7586
Case 7012 - Bâtiment Chevaleret
Bureau 7C14
75205 Paris Cedex 13
Tel: + 33 (0)1 44 27 85 28
E-mail: pleboude (at) math.jussieu.fr
Research
I am a third year PhD student at the Institut de Mathématiques de Jussieu in the Projet de Théorie des Nombres under the supervision of Régis de la Bretèche.
My research is mainly focused on the study of the distribution of rational points on algebraic varieties, and more precisely on Manin's conjecture which predicts the asymptotic behaviour of the number of rational points of bounded height on Fano varieties. The methods I use principally come from analytic number theory.
Here is a list of my publications. Note that the arXiv versions are as close as possible to the final ones but they can also be preliminary versions for the articles not yet published.
- Quadratic congruences on average and rational points on
cubic
surfaces (with S. Baier, U.
Derenthal).
Submitted. [arXiv:1205.0373] - Manin's conjecture for a cubic surface with 2A_2+A_1
singularity
type.
Math. Proc. Cambridge Philos. Soc., to appear. [arXiv:1105.3495] - Power-free values of the polynomial t_1...t_r - 1.
Bull. Aust. Math. Soc. 85 (2012), no. 1, 154-163. [arXiv:1102.0679] - Manin's conjecture for a quartic del Pezzo surface with
A_3 singularity and four lines.
Monatsh. Math., to appear. [arXiv:1011.2470] - Manin's conjecture for two quartic del Pezzo surfaces
with
3A_1 and A_1+A_2 singularity types.
Acta Arith. 151 (2012), no. 2, 109-163. [arXiv:1006.0691]
Meetings
- Synergies And Vistas in Analytic Number Theory, Mathematical Institute, University of Oxford, Oxford, September 3rd-7th, 2012.
- Additive Combinatorics in Paris 2012, Institut Henri Poincaré, Paris, July 9th-13th, 2012.
- Canadian Number Theory Association XII Meeting, University of Lethbridge, Lethbridge, Canada, June 17th-22nd, 2012.
- Analytic Methods for Diophantine Problems, Mathematisches Institut, Georg-August-Universität, Göttingen, June 4th-8th, 2012.
- Paul Turán Memorial Conference, Alfréd Rényi Institute of Mathematics, Eötvös Loránd University, Budapest, August 22nd-26th, 2011.
- Sino-French Summer Institute 2011 in Arithmetic Geometry, Chern Institute of Math., Nankai Univ., Tianjin, China, June 27th-July 15th, 2011.
- Journées de Théorie Analytique des Nombres, Institut Elie Cartan, Université Henri Poincaré, Nancy, June 9th-10th, 2011.
- Group Actions in Number Theory, Initial Instructional Workshop, Centre Interfacultaire Bernoulli, EPFL, Lausanne, January 18th-28th, 2011.
- Density of Rational and Integral Points, Ein Gedi Field School, Israel, January 3rd-7th, 2011.
- Arithmetic Aspects of Rational Curves, Institut Fourier, Université Joseph Fourier, Grenoble, June 14th-July 2nd, 2010.
- Rational Points - Theory & Experiment, Institute for Mathematical Research (FIM), ETH, Zürich, May 25th-29th, 2010.
- Analytic Number Theory, Mathematisches Institut, Georg-August-Universität, Göttingen, April 6th-10th, 2010.
Séminaires
- Séminaire de théorie des nombres de l'Institut de Mathématiques de Jussieu
- Rencontres de théorie analytique et élémentaire des nombres
- Groupe d'étude sur les problèmes diophantiens
- Variétés rationnelles
Enseignement 2011 - 2012
En 2011 - 2012, je suis chargé des Travaux Dirigés du module Algèbre et Analyse élémentaires MM1 dans la section A, pour le groupe Phys 3.
Le responsable du cours est Jérôme Dubois. Voici une liste de documents utiles.
Enseignement 2010 - 2011
En 2010 - 2011, j'étais chargé des Travaux Dirigés du module Algèbre et Analyse élémentaires MM1 dans la section B, pour le groupe Step 1.
Le responsable du cours était Bertrand Gentou. Voici une liste de documents utiles.