Pubblicazioni

Articoli

1) The L^2-Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approch. Annals of Global Analysis and Geometry, vol. 44, no. 4, 2013, 565--605.

2) General perversities and L^2 de Rham and Hodge theorems for stratified pseudomanifolds. Bulletin des Sciences Mathématiques, vol. 138, no. 1, 2014, 2-40.

3) Poincaré duality, Hilbert complexes and geometric applications. Advances in Mathematics, vol. 267, 2014, 121-175.

4) On the space of connections having non-trivial twisted harmonic spinors. Con Nils Waterstraat. Journal of Mathematical Physics, vol. 56, no. 9, 2015.

5) On the L^2-Poincaré duality for incomplete riemannian manifolds: a general construction with applications. Journal of Topology and Analysis, vol. 8, no. 1, 2016, 151-186.

6) Scattering theory for the Hodge Laplacian under a conformal perturbation. Con Batu Güneysu  and Jörn  Müller. Journal of Spectral Theory,  vol. 7, no. 1, 2017, 235-267.

7) Sobolev spaces and Bochner Laplacian on complex projective varieties and stratified pseudomanifolds. Journal of Geometric Analysis, vol. 27, no. 1, 2017, 746796.

8) Q-parabolicity of stratified pseudomanifolds and other singular spaces. Con Batu Güneysu  Annals of Global Analysis and Geometry, vol. 51, no. 3, 2017, 267-286.

9) Degenerating Hermitian metrics and spectral geometry of the canonical bundle. Advances in Mathematics, vol. 328, 2018, 750-800.

10) On the L^2-debar-cohomology of certain complete Kähler metrics. Con Paolo Piazza.  Mathematische Zeitschrift, vol. 290, 2018, no. 1-2, 521-537.

11) Symplectic manifolds, L^p-cohomology and q-parabolicity.  Differential Geometry and its applications, vol. 64, 2019, 136-157.

12) Von Neumann dimension, Hodge index theorem and geometric applications. European Journal of Mathematics, vol. 5 (4), 2019, 1212-1233.

13) On the Laplace-Beltrami operator on compact complex spaces, Transactions of the American Mathematical Society, vol. 372 (12), 2019, 8477-8505.

14) On analytic Todd classes of singular varieties. Con Paolo Piazza. International Mathematics Research Notices, 2021, no. 19, 14840-14881.

15) Kac regular sets and Sobolev spaces in geometry, probability and quantum physics. Con Batu Güneysu. Mathematische Annalen, 379 (2021), no. 3-4, 1623-1650.

16) A note on higher Todd genera for complex manifolds. Con Paolo Piazza. Rendiconti di Matematica e delle sue Applicazioni, vol. 42, 2021, 49-60.

17) L^p-cohomology, heat semigroup and stratified spaces. The Journal of Geometric Analysis, 2023, 33(12), 381. 

18) Weakly Kähler hyperbolic manifolds and the Green--Griffiths--Lang conjecture. Con Simone Diverio, Philippe Eyssidieux e Stefano Trapani. Journal für  die reine und angewandte Mathematik, 2024, 2024(807), pp. 

257-297.

19) Degenerating Hermitian metrics, canonical bundle and spectral convergence. Communications in Analysis and Geometry, vol. 32, n.1,  65-117, 2024.

20)  Stability of L^2 invariants on stratified spaces. Con Paolo Piazza e Boris Vertman. International Mathematics Research Notices, vol. 2024, Issue 21, 13695--13723, November 2024.

21) Compact convergence, deformation of the L^2 delbar-complex and canonical  K-homology classes. J. Noncommut. Geom. 19 (2025) no. 4, 1163-1217.

22) L2 harmonic forms and spinors on stable minimal hypersurfaces. Con Giuseppe Pipoli. J. Lond. Math. Soc. vol. 113, issue 1, 2026.

23)  Weakly Kähler hyperbolicity is birational.  Con Benoit Claudon, Simone Diverio e Stefano Trapani. Accettato per la pubblicazione in Algebraic Geometry. Preprint disponibile al seguente sito  https://arxiv.org/abs/2406.01734. 

Capitoli di libri e altri contributi

Geometric Analysis on Singular Spaces (con Jochen  Brüning,  Batu Güneysu e Matthias Ludewig; 68 pages). Capitolo del libro ''Space - Time - Matter: Analytic and Geometric Structures (SFB 647)'', De Gruyter Verlag, 2018. ISBN 978-3-11-045215-0.

Versioni preliminari

1) Geometric effects of hyperbolic cohomology classes on Kähler manifolds. Con Simone Diverio e Stefano Trapani. Disponibile al seguente indirizzo https://arxiv.org/abs/2506.09907

2) L2 Froelicher inequalities. Con Riccardo Piovani. Disponibile al seguente sito https://arxiv.org/pdf/2507.19385

3) On the cohomology of L2-harmonic forms of an incomplete Riemannian manifold. Con Mauro Spreafico. Disponibile al seguente indirizzo:  https://arxiv.org/abs/2512.13854

4) Simply connectedness of Kähler and Riemannian manifolds via spectral estimates. Disponibile al seguente indirizzo: https://arxiv.org/abs/2602.11002