Riemannian geometry, Ricci flow, and elliptic PDEs on Riemannian manifolds.
Lie group actions on manifolds and geometric structures with large automorphism groups.
Hermitian geometry, special non-Kähler metrics, and the geometry of the Bismut connection.
(with D. Angella, C. Scarpa, C. Spotti, O. J. Windare) Yamabe-type problems on compact Hermitian manifolds, submitted
Online version: arXiv:2605.31028
(with G. Barbaro) On Bismut--Ambrose--Singer manifolds, submitted
Online version: arXiv:2605.02485
(with A. M. Krishnan) On the long time behavior of ancient homogeneous Ricci flows, submitted
Online version: arXiv:2602.15661
(with G. Barbaro, N. Tardini) Pluriclosed manifolds with parallel Bismut torsion, to appear in Crelle's Journal
Preprint version: arXiv:2406.07039
(with A. M. Krishnan, S. Sbiti) Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow, to appear in J. Lond. Math. Soc.
DOI: 10.1112/jlms.70513
Preprint version: arXiv:2312.01469
(with G. Barbaro, N. Tardini) The pluriclosed flow and the Vaisman condition, Math. Z. 310 (2025), paper no. 74
DOI: 10.1007/s00209-025-03778-8
Preprint version: arXiv:2409.19826
(with D. Angella, S. Calamai, C. Spotti) A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds, Transformation Groups 30 (2025), 1035-1065.
DOI: 10.1007/s00031-023-09815-2
Preprint version: arXiv:2207.06863
(with A. Goffi) Sobolev regularity for nonlinear Poisson equations with Neumann boundary conditions on Riemannian manifolds, Forum Math. 35 (2023), 431-456.
(with D. Angella) On cohomogeneity one Hermitian non-Kähler metrics, Proc. Roy. Soc. Edinburgh Sect. A. 153 (2023), 545-587.
(with D. Angella) A survey on locally homogeneous almost-Hermitian spaces, Riv. Mat. Univ. Parma 13 (2022), 373-418.
Preprint version: arXiv:2111.14577
(with S. Sbiti) Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces, Proc. Lond. Math. Soc. 125 (2022), 1130-1151.
(with D. Angella) On the linearization stability of the Chern-scalar curvature, Math. Z. 301 (2022), 1675-1693.
A compactness theorem for locally homogeneous spaces, Ann. Sc. Norm. Super. Pisa Cl. Sci. 23 (2022), 339-360.
DOI: 10.2422/2036-2145.201912_001
Preprint version: arXiv:1911.05062
(with A. Goffi) A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds, J. Geom. Anal. 31 (2021), 8641-8665.
DOI: 10.1007/s12220-021-00607-2
Preprint version: arXiv:2007.15448
Convergence of locally homogeneous spaces, Geom. Dedicata 211 (2021), 105-127.
DOI: 10.1007/s10711-020-00542-6
Preprint version: arXiv:1911.12627
(with M. Pujia) Hermitian Curvature Flow on complex locally homogeneous surfaces, Ann. Mat. Pura Appl. 200 (2021), 815-844.
DOI: 10.1007/s10231-020-01015-z
Preprint version: arXiv:1906.11676
A local version of the Myers--Steenrod Theorem, Bull. Lond. Math. Soc. 52 (2020), 871-884.
DOI: 10.1112/blms.12367
Preprint version: arXiv:1906.02988
Diverging sequences of unit volume invariant metrics with bounded curvature, Ann. Glob. Anal. Geom. 56 (2019), 519-553.
DOI: 10.1007/s10455-019-09677-6
Preprint version: arXiv:1812.08074
Chern--Dirac bundles on non-Kähler Hermitian manifolds, Rocky Mountain J. Math. 48 (2018), 1255-1290.
DOI: 10.1216/RMJ-2018-48-4-1255
Preprint version: arXiv:1704.06211
Geometric aspects of locally homogeneous Riemannian spaces, PhD thesis, Università di Firenze.