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) Degenerating Hermitian metrics, canonical bundle and spectral convergence. Accettato per la pubblicazione su Communications in Analysis and Geometry. Disponibile al seguente sito: https://arxiv.org/abs/1912.06596
18) L^p-cohomology, heat semigroup and stratified spaces. The Journal of Geometric Analysis, 2023, 33(12), 381.
19) 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.
20) Compact convergence, deformation of the L^2 delbar-complex and canonical K-homology classes. J. Noncommut. Geom. https://ems.press/journals/jncg/articles/14297836 .
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) Stability of L^2−invariants on stratified spaces. Con Paolo Piazza e Boris Vertman. Disponibile al seguente sito: https://arxiv.org/abs/2310.05721
2) Weakly Kähler hyperbolicity is birational. Con Benoit Claudon, Simone Diverio e Stefano Trapani. Disponibile al seguente sito https://arxiv.org/abs/2406.01734.