Publications

Back to previous page

Combinatorial patchworking: back from tropical geometry (joint with L. Lopez de Medrano and J. Rau)
To appear in Transaction of the AMS
Maximality of moduli spaces of vector bundles on curves (joint with F. Schaffhauser)
Epijournal de Géométrie Algébrique, Volume 6, 2023.
Euler characteristic and signature of real semi-stable degenerations
Journal of the Institute of Mathematics of Jussieu, 2022, 1-8.
Polynomiality properties of tropical refined invariants (joint with A. Jaramillo Puentes)
Comb. Theory 2 (2022), no. 2, Paper No. 1, 53 pp.
On the invariance of Welschinger invariants
Algebra i Analiz, 32(2):1-20, 2020.
The lexicographic degree of the first two-bridge knots (joint with P.-V. Koseleff and D. Pecker)
Ann. Fac. Sci. Toulouse Math. (6) 29 (2020), no. 4, 761-793.
Real algebraic curves with large finite number of real points (joint with A. Degtyarev, I. Itenberg, and F. Mangolte)
Eur. J. Math. 5 (2019), no. 3, 686-711
Planar tropical cubic curves of any genus, and higher dimensional generalisations (joint with B. Bertrand and L. Lopez de Medrano)
Enseign. Math. 64 (2018), no. 3-4, 415-457
Haas theorem revisited (joint with B. Bertrand and A. Renaudineau)
Épijournal de Géométrie Algébrique, Volume 1, 2017.
Real surgery of real symplectic manifolds and enumerative geometry
Journal of Singularities, Volume 17 (2018), 267-294
Pencils of quadrics and Gromov-Witten-Welschinger invariants of CP^3 (joint with P. Georgieva)
Math. Ann. 365 (2016), no. 1-2, 363-380
Non-existence of torically maximal hypersurfaces (joint with G. Mikhalkin, J.-J. Risler, and K. Shaw)
Algebra i Analiz (Saint Petersburg Mathematical Journal) 30 (2018), no. 1, 20-31
The double Gromov-Witten invariants of Hirzebruch surfaces are piecewise polynomial (joint with F. Ardila)
Int. Math. Res. Not. IMRN 2017, no. 2, 614â€“641.
On the lexicographic degree of two-bridge knots (joint with P.-V. Koseleff and D. Pecker)
J. Knot Theory Ramifications 25 (2016), no. 7
Untangling trigonal diagrams (joint with P.-V. Koseleff and D. Pecker)
J. Knot Theory Ramifications 25 (2016), no. 7
Pseudoholomorphic simple Harnack curves
Enseign. Math. 61 (2015), no. 3-4, 483-498
On Welschinger invariants of symplectic 4-manifolds (joint with N. Puignau)
Comment. Math. Helv. 90 (2015), no. 4, 905-938.
Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces
Adv. Math. 279 (2015), 438-500
Note: the published version contains a mistake in the computations of Example 7.9. This is corrected in the arXiv version.
Lifting harmonic morphisms II: tropical curves and metrized complexes (joint with O. Amini, M. Baker, and J. Rabinoff)
Algebra Number Theory 9 (2015), no. 2, 267-315
Lifting harmonic morphisms I: metrized complexes and Berkovich skeleta (joint with O. Amini, M. Baker, and J. Rabinoff)
Res. Math. Sci. 2 (2015), 2:7
On maximally inflected hyperbolic curves (joint with A. Arroyo and L. Lopez de Medrano)
Discrete Comput. Geom. 52 (2014), no. 1, 140-152
pdf file
Deformation of tropical Hirzebruch surfaces and enumerative geometry (joint with H. Markwig)
J. Algebraic Geom. 25 (2016), no. 4, 633-702
Abstract pdf file
Behavior of Welschinger invariants under Morse simplifications (announcement) (joint with N. Puignau)
Rend. Semin. Mat. Univ. Padova 130 (2013), 147-153
Abstract pdf file
Obstructions to approximating tropical curves in surfaces via intersection theory (joint with K. Shaw)
Canadian Journal of Mathematics 67(2015), no. 3, 527-572
Abstract pdf file
Genus 0 characteristic numbers of tropical projective plane (joint with B. Bertrand and G. Mikhalkin)
Compos. Math. 150 (2014), no. 1, 46-104
Abstract pdf file
Inflection points of real and tropical plane curves (joint with L. Lopez de Medrano)
Journal of Singularities volume 4 (2012), 74-103
Abstract ps file pdf file
Enumeration of Real Conics and Maximal Configurations (joint with N. Puignau)
J. Eur. Math. Soc. (JEMS) 15 (2013), no. 6, 2139-2164
Abstract pdf file
Tropical Open Hurwitz numbers (joint with B. Bertrand and G. Mikhalkin)
Rend. Semin. Mat. Univ. Padova 125 (2011), 157-171.
Abstract pdf file
On the number of connected components of the parabolic curve (joint with B. Bertrand)
C. R. Math. Acad. Sci. Paris 348 (2010), no. 5-6, 287--289.
Abstract ps file pdf file
Floor decomposition of tropical curves : the planar case (joint with G. Mikhalkin)
Proceedings of 15th Gökova Geometry-Topology Conference, P 64-90, 2008
Abstract ps file pdf file
Recursive formulas for Welschinger invariants (joint with A. Arroyo and L. Lopez de Medrano)
Int. Math. Res. Not. 2011, No. 5, 1107-1134 (2011)
Abstract ps file pdf file
Surfaces with Many Solitary Points (joint with O. Labs)
Geometria Dedicata, Vol. 141, 1, p 123-135, 2009
Abstract ps file pdf file
Enumeration of curves via floor diagrams (joint with G. Mikhalkin)
C. R. Acad. Sci. Paris, Ser. I 345 (2007)
Abstract ps file pdf file
A non-algebraic patchwork (joint with B. Bertrand)
Math. Z. 259 (2008), no. 3, 481--486.
Abstract ps file pdf file
A Viro Theorem without convexity hypothesis for trigonal curves (joint with B. Bertrand)
International Mathematics Research Notices, vol. 2006
Abstract ps file pdf file
Symmetric plane curves of degree 7 : pseudo-holomorphic and algebraic classifications
Journal für die reine und angewandte Mathematik (Crelle's Journal) 612, 2007
Abstract ps file pdf file
Real plane algebraic curves with asymptotically maximal number of even ovals
Duke Math. J., 131 (3):575-587, 2006
Abstract ps file pdf file

These last two articles are contained with sometimes more details in my thesis
ps file pdf file