Research

Research during PhD:

My main focus has been around studying geometry of moduli spaces of pure dimension one seimistable sheaves (also called relative compactified Jacobians) on bielliptic surfaces. They are the last (and least understood) piece of theory of moduli spaces of sheaves on surfaces  Kodaira dimension 0. 

My main results include computing the fundamental group, first and second Betti numbers, and proving that (for some types) Albanese fibers are Calabi-Yai varieties

Other results include computing some weak Brill-Noether loci on Enriques surfaces (ongoing collaboration project).

Preprints: 

1. Topology and geometry of moduli spaces of semistable sheaves on bielliptic surfaces. arXiv:2607.18918 

2. Irreducibility of Moduli Spaces of Sheaves on Enriques and Bielliptic Surfaces (with Howard Nuer). In preparation (2026).

3. Weak Brill-Noether theory on Enriques surfaces (joint project with Edoardo Mason, Roberto Vacca, Huishi Yu and Filippo Papallo). In preparation.

Research before PhD:

• Master’s thesis 'Motivic Zeta-Function of a Severi-Brauer Variety' can be found here.

• Bachelor's thesis 'Laumon Spaces and Representations of Dominant Highest Weight' can be found here.