Xavier Roulleau
Current Position:
Since September 2021, Professor at Angers University, France
Past positions:
Sept. 2016 - Aug 2021, Professor at Aix-Marseille University.
Sept. 2012 - Aug. 2016, Assistant Professor at Poitiers University.
Oct. 2011 - Sept. 2012, Post-doctorate at the Instituto Superior Técnico in Lisbon.
Oct. 2010 - Sept. 2011, Post-doctorate at the University of Strasbourg.
Nov. 2008 - Oct. 2010, Post-doctorate at the University of Tokyo.
Jan. 2008 - Oct. 2008, Post-doctorate at the MPIM of Bonn.
2007 Phd at Angers University.
xavier (dot) roulleau [the sign] univ-angers (dot) fr
Phone: +33 (0)2 41 73 54 79
Mail address: LAREMA, Université d'Angers, 2 boulevard de Lavoisier, 49000 Angers, FRANCE
Office number i207, building i, Belle-Beille Campus
Preprints
Modular curves X1(n) as moduli spaces of points arrangements and applications
With Lev Borisov
Construction of free arrangements using point-line operators
With Piotr Pokora
Dynamical systems on some elliptic modular surfaces via operators on line arrangements
With Lukas Kühne
Regular polygons, line operators, and elliptic modular surfaces as realization spaces of matroids
With Lukas Kühne
On some operators acting on line arrangements and their dynamics
On Projective K3 surfaces X with Aut(X)=(Z/2Z)^2
With Adrian Clingher and Andreas Malmendier
Fourier-Mukai partners and generalized Kummer structures on generalized Kummer surfaces of order 3
With Alessandra Sarti
A refinement of Bézout’s Lemma and order 3 elements in some quaternion algebras over Q
With Donald Cartwright (not yet submitted)
Publications
On the dynamics of the line operator Lambda_2,3 on some arrangements of six lines
European Journal of Mathematics 9 (2023), no. 4, Paper No. 105, 22pp.
Number of Kummer structures and Moduli spaces of generalized Kummer surfaces
Mathematishe Zeitschrift, 305 (2023), no 4, Paper No. 66, 34pp
Pluricotangent maps of surfaces of general type
With Francesco Polizzi, to appear in Ann. Scuola Norn. Sup. Pisa
Constructions of Kummer structures on generalized Kummer surfaces
With Alessandra Sarti, to appear in Kyoto Math. J.
Mori dream K3 surfaces of Picard number 4: projective models and Cox rings
Israel Journal of Mathematics, 258 (2023), no 1, 81--135
With Michela Artebani and Claudia Correa Deisler
An atlas of K3 surfaces with finite automorphism group
(Zoom Algebraic Geometry slides)
Epijournal Géom. Algébrique 6 (2022), Art. 19, 95pp
On the geometry of K3 surfaces with finite automorphism group and no elliptic fibrations
International Journal of Mathematics, 33 (2022), no 6, Paper No. 2250040, 39 pp.
A special configuration of 12 conics and generalized Kummer surfaces
Manuscripta Mathematica 169 (2022), no. 3-4, 369--399
With David Kohel and Alessandra Sarti (Zoom Lisbon seminar slides)
Explicit Nikulin configurations on Kummer surfaces
Advances in Geometry 22 (2022), no. 3, 329--340
With Alessandra Sarti
Conic configurations via dual of quartic curves
Rocky Mountain Journal of Mathematics, Vol. 51, (2021), No. 2, 721--732
The Bolza curve and some orbifold ball quotient surfaces
Michigan Math. J. 70 (2021) 423--448
with Vincent Koziarz and Carlos Rito
Construction of Nikulin configurations on some Kummer surfaces and applications
Math. Annalen 373 (2019), no 11, 7651--7668. With A. Sarti
A pair of rigid surfaces with pg=q=2 and K^2=8 whose universal cover is not the bidisk
Int. Math. Res. Not., 2020, no. 11, 3453--3493. With Francesco Polizzi and Carlos Rito
Algebraic Geometry 6 (4) 2019, 410--426. With Carlos Rito and Alessandra Sarti
On generalized Kummer surfaces and the orbifold Bogomolov-Miyaoka-Yau inequality
Trans. Amer. Math. Soc. Vol 371, n.11, June 2019, 7651--7688
Curves with low Harbourne constants on Abelian and Kummer surfaces
Rend. Circ. Mat. Palermo (2) 67 (2018), no. 3, 481--491
Irrationality of generic cubic threefold via Weil’s conjectures
Communications in Contemporary Mathematics, 1750078 (12 pages),
With Dimitri Markushevich
Bounded negativity, Harbourne constants and transversal arrangements of curves
Annales de l’institut Fourier 67, 6 (2017), pp 2719--2735.
With Piotr Pokora et Tomasz Szemberg
On the Cohomology of the Stover Surface
Experimental Mathematics Vol 26 (2017), 490--495. With Amir Dzambic
Lines on cubic hypersurfaces over finite fields
Files with the MAGMA slgorithms
In «Geometry over non closed fields», F. Bogomolov, B. Hassett et Y. Tschinkel Editors ; Simons Publication Series (2017), pp. 19--51. With Olivier Debarre and Antonio Laface
Bounded negativity, Miyaoka-Sakai inequality and elliptic curve configurations
Int. Math. Res. Not (2017) no 8, 2480--2496
Involutions of second kind on Shimura surfaces and surfaces of general type with $q=p_g=0$
Asian J. Of Math. Vol 21, No 4 (2017) 775--790. With Amir Dzambic
On finiteness of curves with high canonical degree on a surface
Geom. Dedicata 183, (2016) 33--42. With Ciro Ciliberto
Chern slopes of simply connected complex surfaces of general type are dense in [2,3]
Annals of Math. 182 (2015), 286--306. With Giancarlo Urzua
Comment. Math. Helv. 90 (2015), no. 1, 59--74.
With Ciro Ciliberto and Margarida Mendes Lopes
On the PSL2(19)-invariant cubic sevenfold
J. of Algebra 413 (2014), 1--14. With Atanas Iliev
Canonical surfaces with big cotangent bundle
Duke Math. J. 163 (2014), no. 7, 1337--1351. With Erwan Rousseau
Automorphisms and Quotients of Fake Quadrics
Pacific Journal of Mathematics 267 (2014), no. 1, 91--120. With Amir Dzambic
Negative Curves on Algebraic Surfaces
Duke Math. J. 162 (2013), 1877--1894.
With Th Bauer, B. Harbourne, A.L. Knutsen, A. Küronya, S. Müller-Stach, T. Szemberg
On the hyperbolicity of surfaces of general type with small c_1^2
Journal of the Lond. Math. Soc. (2013) 87 (2): 453--477. With Erwan Rousseau
On the Tate conjecture for the fano surfaces of cubic threefolds
Journal of Number Theory 133 (2013), 2320--2323
Rend. Lincei Mat. 23 (2012), 1--25
Proc. of the AMS, 139 (2011), 3405--3412.
Fano Surfaces with 12 or 30 Elliptic Curves
Michigan. Math. J., Vol. 60, (2011), 313--329.
Genus 2 curve configurations on Fano surfaces
Com. Math. Univ. St. Pauli, (2010), Vol 59, No. 1, 51--64.
Elliptic curve configurations on Fano surfaces
Manuscripta Mathematica, 129 (2009), no. 3, 381--399.
L'application cotangente des surfaces de type général
Geometriae Dedicata, 142 (2009), 151--171.
The Fano surface of the Klein cubic
J. Math. Kyoto Univ., 49 (2009), 113--129.
Divisor arrangements and Algebraic surfaces
Comment. Math. Univ. St. Pauli, 57 (2008), no. 1, 13--21.
Courbes elliptiques, fibrations et automorphismes des surfaces de Fano
C. R. Acad. Sci. Paris, Ser. I 345 (2007), 209--212.