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 M_g, 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.