معرفی
Giulia Saccà is an Associate Professor in the Department of Mathematics at Columbia University. In Fall 2025 she will be on medical (maternity) leave. Previously, she spent 2019–2020 at the Collège de France, was an Assistant Professor at MIT (2017–2018), a J. H. Simons Instructor at Stony Brook University, and a Member of the School of Mathematics at the Institute for Advanced Study (IAS) in 2014–2015.
Education:
- PhD, Princeton University, 2013
Research Interests lie in algebraic geometry, with a specific focus on hyper-Kähler and Calabi-Yau manifolds, K3 surfaces, moduli spaces of sheaves, families of abelian varieties and their degenerations, and symplectic resolutions. Her work intersects Hodge theory, derived categories, and enumerative aspects of these geometries.
Her recent publications demonstrate a concentrated effort on understanding moduli spaces arising from Kuznetsov components, compactifications of Lagrangian fibrations, and the intricate geometry of O’Grady-type hyper-Kähler manifolds. A recurring theme is the interplay between derived categories and classical geometric constructions, often leveraging Bridgeland stability conditions and perverse sheaf techniques.
Awards & Funding:
- NSF CAREER Award DMS-2144483
- NSF FRG Grant DMS-2052750 “Derived Categories, Moduli Spaces, and Classical Algebraic Geometry”
- Member of the Simons Collaboration on Moduli of Varieties
- Previous NSF Grants DMS-1949812 and DMS-1801818
Graduate Advising & Service:
- Current PhD students: Anna Abasheva, Nicolás Vilches Reyes
- Organizer: Columbia Algebraic Geometry Seminar, FRG workshop “Hyperkähler Varieties, Derived Categories, and Moduli Spaces”, 2024 & 2025 GROW conferences, AMS Summer Research Institute 2025 session “Hyper-Kähler manifolds and derived categories”
- Former organizer: ZAG online seminar
She maintains an active presence in the algebraic-geometry community through seminar organization, conference leadership, and collaborative grants that support graduate training and international workshops.
