Publications

Research interests

My research area is Enumerative Geometry, which is the study of the geometry of moduli spaces, the invariants we can produce out of them and the correspondences among each other. In particular, my primary interest is virtual counting on moduli spaces of sheaves on Calabi-Yau varieties, often incarnated by (refined) Donaldson-Thomas theory. I am also interested in motivic invariants, moduli of curves, derived categories and derived algebraic geometry. On the side, I like to explore the connections among Algebraic Geometry, Theoretical Physics and Combinatorics. 

Publications and preprints

1. The refined local Donaldson-Thomas theory of curves

arXiv:2506.14359. ArXiv

2. Gauge origami on broken lines

arXiv:2502.07149. ArXiv

3. Enumeration of partitions via socle reduction, with M. Graffeo, R. Moschetti, A.T. Ricolfi

arXiv:2501.10267. ArXiv

4. Derived hyperquot schemes, with E. Pavia, A.T. Ricolfi

arXiv:2409.16858. ArXiv

5. The motive of the Hilbert scheme of points in all dimensions, with M. Graffeo, R. Moschetti, A.T. Ricolfi

arXiv:2406.14321. ArXiv

6. Hyperquot schemes on curves: virtual class and motivic invariants, with A.T. Ricolfi

Mathematische Annalen, 392 (2025), 1665-1709. Journal

7. The geometry of double nested Hilbert schemes of points on curves, with M. Graffeo, P. Lella, A.T. Ricolfi and A. Sammartano

Transactions of the American Mathematical Society, 378 (2025), 6013-6047. Journal

8. Tetrahedron instantons in Donaldson-Thomas theory, with N. Fasola

Advances in Mathematics, 462 (2025), 110099. Journal

9. A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds, with Y. Cao and M. Kool

Transactions of the American Mathematical Society, 376 (2023), 8225-8268. Journal

10. Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds

Journal of Geometry and Physics, 174 (2022), 104466. Journal

11. Double nested Hilbert schemes of points and the local stable pairs theory of curves

Compositio Mathematica, (2022), 158(9), 1799-1849. Journal

12. Sur la lissité du schéma Quot ponctuel embôité, with A.T. Ricolfi

Canadian Mathematical Bulletin, (2023), 66(1), 178-184. Journal

13. On the motive of the nested Quot scheme of points on a curve, with A.T. Ricolfi

Journal of Algebra, 610 (2022), 99–118. Journal

14. Stable Pair Invariants of Local Calabi-Yau 4-folds, with Y. Cao and M. Kool

International Mathematics Research Notices, (2022), no. 2022, 4753–4798. Journal

15. Higher rank K-theoretic Donaldson-Thomas Theory of points, with N. Fasola and A.T. Ricolfi

Forum of Mathematics Sigma, Vol. 9, e15 (2021), 1–51. Journal

16. K-theoretic DT/PT Correspondence for Toric Calabi-Yau 4-Folds, with Y. Cao and M. Kool

Communications in Mathematical Physics, 396,  (2022), 225-264. Journal

17. Equivariant Enumerative Geometry and Donaldson-Thomas Theory

PhD Thesis, Universiteit Utrecht (2022), 1-268. Thesis