Elise Goujard

Depuis septembre 2025 je suis professeure à Nantes Université.  Je m'intéresse aux surfaces plates et aux problèmes de comptage sur de telles surfaces et leurs espaces de modules. J'ai soutenu ma thèse sous la direction d'Anton Zorich à l'IRMAR en 2014, et mon HDR à l'IMB en 2025. Je suis lauréate de l'IUF junior depuis 2022.

I am a professor at the Nantes Université.. My research interests are complex geometry, topology, dynamics, more precisely flat surfaces and couting problems on them or on their moduli spaces. I defended my PhD thesis supervised by Anton Zorich, at the IRMAR in October 2014.

Liste de Publications

See here and here for updated informations.

• Volumes of odd strata of quadratic differentials
  with Eduard Duryev and Ivan Yakovlev (2025)
• Area Siegel--Veech constants for affine invariant submanifolds of Rel 0
  with Dawei Chen and Martin Möller (2025)
• Higher genus meanders and Masur-Veech volumes
  with Vincent Delecroix, Peter Zograf, Anton Zorich (2023),
  to appear in Ann. Inst. Fourier.
• Large genus asymptotic geometry of random square-tiled surfaces and of random multicurves
  with Vincent Delecroix, Peter Zograf, Anton Zorich,
  Invent. Math. 230 (2022), no. 1, 123–224.
• Uniform lower bound for intersection numbers of psi-classes
  with Vincent Delecroix, Peter Zograf, Anton Zorich,
  SIGMA Symmetry Integrability Geom. Methods Appl. 16 (2020); no 86, 13pp.
• Conjectural large genus asymptotics of Masur-Veech volumes and of area Siegel-Veech constants of strata of quadratic differentials
  with Amol Aggarwal, Vincent Delecroix, Peter Zograf, Anton Zorich
  Arnold Math. J. 6 (2020), no 2, 149-161.
• Masur-Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves
  with Vincent Delecroix, Peter Zograf, Anton Zorich,
  Duke Math J. 170 (2021), no 12, 2633-2718.
• Sous-variétés totalement géodésiques des espaces de modules de Riemann [d'après Eskin, McMullen, Mukamel, Wright]
  Astérisque No. 430 (2021), Séminaire Bourbaki Vol. 2019/2021. Exposés 1166--1180, Exp. No. 1178, 407--424
• Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes
  with Vincent Delecroix, Peter Zograf, Anton Zorich
  With an appendix by Philip Engel.
  Some aspects of the theory of dynamical systems: a tribute to Jean-Christophe Yoccoz (volume I), Astérisque 2020, no 415, 223-274.
• Pillowcase covers: Counting Feynman-like graphs associated with quadratic differentials
  with Martin Möller,
  Algebr. Geom. Topol. 20 (2020), no 5, 2451-2510.
• Enumeration of meanders and Masur-Veech volumes
  with Vincent Delecroix, Peter Zograf, Anton Zorich,
  Forum of Math: Pi 8 (2020), e4, 80 pp.
• Counting Feynman-like graphs: Quaismodularity and Siegel-Veech weight
  with Martin Möller, J. Eur. Math. Soc. (JEMS) 22 (2020), no. 2, 365–412.
• Volumes of strata of moduli spaces of quadratic differentials: getting explicit values
  Ann. Inst. Fourier. 66 (2016), no. 6, 2203-2251.
• Siegel-Veech constants for strata of moduli spaces of quadratic differentials
  GAFA 25 (2015), no. 5, 1440-1492 . 
   
• Geometry of periodic regions on flat surfaces and associated Siegel-Veech constants 
  with Max Bauer,
  Geom. Ded. 174 (2015), no 1, 203-233.
• A criterion for being a Teichmüller curve 
  Math. Res. Lett. 19 (2012), no. 04, 847-854.

Other materials

• Tables of Masur-Veech volumes and of area Siegel-Veech constants of principal strata of quadratic differentials, V. Delecroix, E. Goujard, P. Zograf, A. Zorich.
• Table of volumes of strata of quadratic differentials (up to dimension 11)
• Program in sage giving the list of configurations of saddle connections for quadratic differentials
  and a short notice to read the output data.
• Some counting problems on flat surfaces and their moduli spaces (HDR)
• Constantes de Siegel-Veech et volumes de strates d'espaces de modules de différentielles quadratiques (PhD thesis)

Liste des Exposés

• Exposé "Un texte une mathématicienne" à la BNF, février 2024: Maryam Mirzakhani et la géométrie des surfaces. Vidéo.
• Vidéo 5 minutes Lebesgue, "La baguette magique d'Eskin-Mirzakhani", slides; inspirée par les vidéos d'Amie Wilkinson (public opening of the Field symposium 2018 et de Howard Masur (the illumination problem, numberphile)
• Les billards à MATh.en.JEANS
   
• Zéros de polynômes aléatoires, Journées Louis Antoine, janvier 2013.
• Counting closed geodesics on flat surfaces, GEAR seminar at the University of Illinois, September 2014.

Enseignement

A venir

Projets

• ANR MoDiff (12/2019-05/2024)

Informations de contact