I am currently a research fellow (postdoc) at university of Warwick, in the group of Diane Maclagan. I've obtained my PhD at University of Liverpool, under the supervision of Nicola Pagani. I have completed my Masters degree at University of Pisa, and my undergraduate studies at University of Camerino.
I am the current organiser of the algebraic geometry seminar at University of Warwick. Please get in touch if you would like to be a speaker!
In Term 3 2025/26 I have organised a learning seminar on moduli spaces of Higgs bundles.
My interests are in Algebraic Geometry, and specifically in Moduli theory. My research focuses mainly on on compactified (universal) Jacobians, their classification via stability conditions and the study of their cohomology via topological methods, representation theory and Hodge theory.
Cohomology of the fine compactified universal Jacobians \bar{J}_2 and \bar{J}_{2,1}. https://arxiv.org/abs/2610.01829 with extended computations
A complete classification of modular compactifications of the universal Jacobian (with Nicola Pagani and Filippo Viviani). https://arxiv.org/abs/2603.05455
A new class of compactified Jacobians for families of reduced curves (with Nicola Pagani and Filippo Viviani). https://arxiv.org/abs/2505.08609
A complete theory of smoothable compactified Jacobians of nodal curves (with Nicola Pagani and Filippo Viviani). Transactions of the American Mathematical Society (accepted). https://arxiv.org/abs/2412.03532
On a combinatorial classification of fine compactified universal Jacobians. European Journal of Mathematics 11, 67 (2025). https://arxiv.org/abs/2403.17871
Contact: marco.fava@warwick.ac.uk