Research  



    Pre-prints.

  1. Euler characteristics of strata of k-differentials (with M. Costantini, A. Giacchetto, M. Moëller, and J. Schmitt)
    arXiv:2609.26922, 2026. lien arXiv

  2. Virtual volumes of strata of meromorphic differentials with simple poles
    arXiv:2512.20819, 2025. arXiv

  3. DR cycles and strata of differentials with spin parity (with D. Holmes, and G. Politopoulos)
    arXiv:2509.03650, 2025. arXiv

  4. A flat perspective on moduli spaces of hyperbolic surfaces
    arXiv: 2405.10869, 2024. arXiv


    5. Publications.

  5. Volumes of moduli spaces of flat surfaces
    Accepted for publication by Geometry and Topology, 2026. lien arXiv

  6. Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT (avec X. Blot et P. Rossi)
    Accepted for publication by Letters in Mathematical Physics, 2025. lien arXiv

  7. Integrals of ψ-classes on twisted double ramification cycles and spaces of differentials (with M. Costantini and J. Schmitt)
    Accepted for publication at Transactions of the American Mathematical Society , 2024 lien arXiv

  8. The Spin Gromov-Witten/Hurwitz correspondence for P^1 (with A. Giacchetto, R. Kramer, and D. Lewański)
    Accepted for publication by Journal of the European Mathematical Society, 2024. lien arXiv

  9. The master relation for polynomiality and equivalences of integrable systems (with X. Blot and S. Shadrin)
    Bulletin of the London Mathematical Society , 57(2): 599-604, 2025. lien arXiv / journal

  10. Computation of λ-classes via strata of differentials (with G. Politopoulos)
    Annali di Matematica Pura ed Applicata (4) , 204 (4): 1403-1423, 2025. arXiv / journal

  11. Cylinder counts and spin refinement of area Siegel-Veech constants (with J.W. van Ittersum)
    Commentarii Mathematici Helvetici, 100(3): 559-617, 2025. lien arXiv / journal

  12. Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials (with D. Chen and M. Moëller, and followed by an appendice by G. Borot, A. Giacchetto, and D. Lewanski)
    Duke Mathematical Journal, 172(9):1735–1779, 2023. arXiv / journal

  13. Towards logarithmic GLSM: the r-spin case (with Q. Chen, F. Janda, and Y. Ruan)
    Geometry & Topology, 26(7):2855–2939, 2022. arXiv / journal

  14. The Large genus asymptotic expansion of Masur-Veech volumes
    International Mathematics Research Notices , (20):15894–15910, 2021. arXiv / journal

  15. Masur-Veech volumes and intersection theory on strata of abelian differentials (with D. Chen, M. Moëller, and D. Zagier)
    Inventiones Mathematicae ,222(1):283–373, 2020. arXiv / journal

  16. Tau functions, Prym-Tyurin classes and loci of degenerate differentials (with D. Korotkin, and P. Zograf)
    Mathematische Annalen, 375(1-2):213–246, 2019. arXiv / journal

  17. Cohomology classes of strata of abelian differentials.
    Geometry & Topology, 23(3):1085–1171, 2019. arXiv / journal

  18. Volumes and Siegel-Veech constants of H(2g − 2) and Hodge integrals
    Geometric and Functional Analysis , 28(6): 1756–1779, 2018. arXiv / journal




Other texts.

Masur-Veech volumes and intersection theory on strata of abelian differentials.
In “Flat Surfaces and Algebraic Curves”, Oberwolfach report, 42, 2018.

Géométrie énumérative des surfaces plates et courbes spins
Mémoire d'habilitation à diriger des recherches (April 2022) pdf.

Théorie de l'intersection des espaces des modules de différentielles holomorphes et méromorphes
PhD thesis : pdf.

On the principally polarized abelian varieties with m-minimal curves (with S.Y. Jow, and H. Zelaci)
Report published at the end of the PRAGMATIC school: Le Matematiche, Vol. 52: 87-98, 2017. arXiv / journal



Adrien SAUVAGET
adrien.sauvaget@math.cnrs.fr
Institut de mathématiques de Toulouse, bureau 1R2-111
118 route de Narbonne,
31400 Toulouse (France)