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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"Special metrics through reversed conifold transitions" (online talk) at "String Geometry Online Seminar", 26 February 2026.
"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.