My research lies in the field of Complex Differential Geometry, with particular interest towards special metrics in a not necessarily Kähler setting. More specifically, I am interested in constructing metrics - both on manifolds and on vector bundles - that carry some sort of canonical nature (for example metrics that satisfy the Hull-Strominger system).
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F. Giusti, C. Spotti, Chern-Ricci flat balanced metrics on small resolutions of Calabi-Yau threefolds, Int. Mat. Res. Not. 18 (2025), https://doi.org/10.1093/imrn/rnaf289.
E. Fusi, F. Giusti, Blowing up Chern-Ricci flat balanced metrics, Journal de Mathématiques Pures et Appliquées 197 (2025), 103691, https://doi.org/10.1016/j.matpur.2025.103691.
F. Giusti, C. Spotti, A Kümmer construction for Chern-Ricci flat balanced manifolds, Math. Z. 308, 61 (2024), https://doi.org/10.1007/s00209-024-03597-3.
F. Giusti, F. Podestà, Real semisimple Lie groups and balanced metrics, Rev. Mat. Iberoam. 39 (2023), no. 2, pp. 711–729, https://doi.org/10.4171/rmi/1391.
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"Canonical geometries through (reversed) conifold transitions" (short talk) at "RTGF 2025 (Meeting of the Spanish network of Geometry and Physics)", UAB and UB, Barcelona, Spain, 15-17 September 2025.
"Smoothable Calabi-Yau nodal threefolds and balanced metrics" at "Extended Special Workshop of the Hitchin-Ngo Laboratory", ICMAT, Madrid, Spain, 17 June 2025.
"Special metrics on small resolutions of nodal Calabi-Yau threefolds" at "Informal Geometry Workshop in Paradiso 2025", Cogne, Italy, 31 March-02 April 2025.
"Special metrics on crepant resolutions of nodal Calabi-Yau threefolds" (short talk) at The 8th workshop "Complex Geometry and Lie Groups", 10-14 March 2025, Osaka, Japan.
"Blowing up Chern-Ricci flat balanced metrics" at “Progressi Recenti in Geometria Reale e Complessa -XIII" in Levico Terme, Italy, 23-27 September 2024.
"Chern-Ricci flat balanced metrics on resolutions of isolated singularities", at "Junior Meeting Einstein Geometry and Special Holonomy", Kiel University, Kiel, Germany, 24-26 July 2024.
“Chern-Ricci flat balanced orbifolds and crepant resolutions”, at “Workshop Paraplui Angers 2024”, University of Angers, Angers, France, 17-19 April 2024.
“Gluing constructions in non-Kähler Geometry", at IASM at Zhejiang University, Hangzhou, China, 13 March 2024;
"Una costruzione di gluing per metriche speciali non-Kähler", at "XXII Congresso dell'Unione Matematica Italiana", Università di Pisa and Scuola Normale Superiore, Pisa, Italy, 04-09 September 2023;
"A gluing construction for Chern-Ricci flat balanced metrics", at "A Complex Differential Geometry Meeting at UniTo", Università degli Studi di Torino, Torino, Italy, 17-19 May 2023;
"A gluing construction for Chern-Ricci flat balanced metrics on some Calabi-Yau threefolds", ICMAT, Madrid, Spain, 07 December 2022;
"Constructing special non-Kähler metrics", at "Informal geometry workshop in Paradiso 2022", Cogne (Aosta), Italy, 03-05 February 2022;
"The class of balanced manifolds is closed under proper modifications", at "Pluripotential Theory on compact Hermitian manifolds II", Università di Parma, Parma, Italy, 02-05 November 2021.