Scientific papers by Gabriele Mondello
Deligne-Mumford compactifications of moduli spaces of curves
with level structures, Master Degree
Thesis (2000).
Combinatorial
classes on the moduli space of curves are tautological, PhD
Thesis (2003).
Combinatorial
classes on the moduli space of Riemann surfaces are tautological, Int. Math. Res. Not. 2004,
no. 44, 2329-2390, doi: 10.1155/S1073792804131462.
Witten cycles on
the moduli space of Riemann surfaces, Oberwolfach Rep. vol. 3 n. 2 (2006), pp. 1583-1586.
A
remark on the homotopical dimension of some moduli
spaces of stable Riemann surfaces, J. Eur. Math. Soc. (JEMS) 2008, no. 1, vol. 10, pp. 231-241,
doi: 10.4171/JEMS/109.
Triangulated
Riemann surfaces with boundary and the Weil-Petersson
Poisson structure, J.
Differential Geometry 81 (2009), pp. 391-436, no doi.
Riemann
surfaces, ribbon graphs and combinatorial classes, "Handbook of Teichm ller
theory, vol.2", European Mathematical Society, ed. Athanase
Papadopoulos (2009), pp. 151-216, doi: 10.4171/055.
Riemann
surfaces, arc systems and Weil-Petersson form, Bollettino U.M.I.
(9) I (2008), pp. 751-766.
A
criterion of convergence in the augmented Teichm ller
space, Bull. Lond. Math. Soc. 41 (2009), pp. 733-746, doi: 10.1112/blms/bdp052.
Riemann surfaces
with boundary and natural triangulations of the Teichm ller
space, J. Eur. Math. Soc.
(JEMS) 13 (2011), pp. 635-684, doi: 10.4171/JEMS/263.
Poisson
structures on the Teichm ller space of hyperbolic
surfaces with conical points, in In the Tradition of Ahlfors-Bers, V,
Contemporary Mathematics, vol. 510, Amer. Math. Soc., Providence, RI, 2010, pp.
307-329, doi: 10.1090/conm/510.
A cyclic extension of
the earthquake flow (with
Francesco Bonsante and Jean-Marc Schlenker),
Geometry & Topology 17 (2013), pp. 157-234, doi: 10.2140/gt.2013.17.157.
Two
remarks on the Weierstrass flag (with Enrico Arbarello), Conference
on Compact Moduli and Vector Bundles , University of Georgia, Athens GA
21-24/10/2010, Contemporary Mathematics
564 (2012), pp. 137-144, doi: 10.1090/conm/564.
A cyclic extension
of the earthquake flow II (with Francesco Bonsante and Jean-Marc Schlenker), Annales scientifiques de l'ENS 48 n. 4 (2015), 811-859, no doi.
On cohomological
dimension of the moduli space of Riemann surfaces, Oberwolfach Rep., vol. 11 n. 1 (2014), pp.
897-899.
The fine structure of the moduli space of abelian
differentials in genus 3 (with Eduard Looijenga), Geom. Dedicata 169
(2014), pp. 109-128, doi: 10.1007/s10711-013-9845-2.
On the cohomological
dimension of the moduli space of Riemann surfaces, Duke
Mathematical Journal 166 (2017) n.8, pp.1463-1515, doi:
10.1215/00127094-0000004X
Stratifications of the moduli space of
curves and related questions, Rendiconti di Matematica, Serie VII, 35
(2014), pp. 131-158, no doi.
Investigating the cohomological
dimensions of Mg, International
Journal of Mathematics, 27
(2016), doi: 10.1142/S0129167X16400085
Spherical metrics with conical
singularities on a 2-sphere: angle constraints (with Dmitri Panov), International Mathematical Research Notices 2016,
n. 16, pp. 4937-4995, doi: 10.1093/imrn/rnv300
Topology of representation spaces of
surface groups in PSL2(R) with assigned boundary monodromy and nonzero
Euler number, Pure and Applied Mathematics Quarterly 2016, vol.12, pp. 399-462, doi: 10.4310/PAMQ.2016.v12.n3.a3.
Spherical surfaces with conical points: systole
inequality and moduli spaces with many connected components (with D. Panov), Geom. Funct. Anal. (GAFA) 2019 pp. 1-84, doi:
10.1007/s00039-019-00506-3
Ergodic invariant measures on the space of geodesic
currents (with V. Erlandsson),
Annales de l Institut
Fourier 72 (2022), pp.
2449-2513, https://doi.org/10.5802/aif.3498
Exploring the moduli space of spherical surfaces with conical points,
Oberwolfach Rep., vol. 42 n. 21 (2018), pp.
42-44.
Minimizing immersions of a hyperbolic
surfaces in a hyperbolic 3-manifold (with
Francesco Bonsante and Jean-Marc Schlenker),
submitted paper (2019), http://arxiv.org/abs/1910.06557,
accepted for publication on American Journal of Mathematics.
Moduli spaces for Lam functions and Abelian
integrals of the second kind (with Alexandre Eremenko,
Andrei Gabrielov, Dmitri Panov),
Communications in
contemporary mathematics 24 n. 2 (2022) pp.
1-68, https://doi.org/10.1142/S0219199721500280
Moduli of spherical tori with one conical point (with Alexandre Eremenko and Dmitri Panov), Geometry&Topology 27 (2023), pp.3619-3698
DOI: 10.2140/gt.2023.27.3619
Universally irreducible subvarieties of Siegel
moduli spaces (with R. Salvati Manni),
Journal für die reine und angewandte Mathematik,
DOI: 10.1515/crelle-2023-0078
Differentiating Siegel modular forms, and the moving slope of A_g (with S. Grushevsky, T. Ibukiyama, R. Salvati Manni), International Mathematics Research Notices (2024), pp.3442-3486, DOI: 10.1093/imrn/rnad203
On decorated representation spaces associated to spherical surfaces
(with D. Panov),
Trans. AMS (2024), DOI: 10.1090/tran/9112
Spherical surfaces of genus 0 with 4 conical points misbehave (with
Dmitri Panov), in preparation.