Papers and Preprints
On the Chern filtration for the moduli of bundles on curves
w/ M. Moreira, W. Pi, arXiv:2410.24008 (2024) -- preprint
Virasoro constraints and representations for quiver moduli spaces
w/ M. Moreira, to appear in Algebr. Geom. -- preprint
Cohomology rings of the moduli of one-dimensional sheaves on the projective plane
w/ Y. Kononov, M. Moreira, W. Pi, arXiv:2403.06277 (2024) -- preprint, cohomology rings
Moduli spaces of sheaves: an overview, curves and surfaces
contributed to KIAS Springer Ser. Math., 4 (2025) -- book, preprint
Cohomological chi-dependence of ring structure for the moduli of one-dimensional sheaves on P^2
w/ M. Moreira, W. Pi, Forum Math. Sigma 12 (2024) -- journal, preprint, Mathematica code
Virasoro constraints for moduli of sheaves and vertex algebras
w/ A. Bojko, M. Moreira, Invent. Math. 236 (2024) -- journal, preprint
The virtual K-theory of Quot schemes of surfaces
w/ N. Arbesfeld, D. Johnson, D. Oprea, R. Pandharipande, J. Geom. Phys. 164 (2021) -- journal, preprint
Virtual chi_y-genera of Quot schemes on surfaces
J. Lond. Math. Soc. 104 (2021) -- journal, preprint
Virtual invariants of Quot schemes of surfaces
Ph.D. thesis -- Open Access
Course lecture note
Moduli of stable bundles on curves, 102pp (2022) -- notes, course website
Some notes from talks
Enumerative Geometry: past and present, Seoul Science High School, SP25 -- notes
Moduli of one dimensional sheaves on the projective plane, AG seminar, Utrecht, SP24 -- notes
Virasoro constraints, vertex operator algebras, and wall-crossing, Derived Categories, Moduli Spaces, and Counting Invariants, Imperial College London, S23 -- notes
Moduli spaces of sheaves: an overview, curves, and surfaces, School on moduli spaces, virtual invariants and shifted symplectic structures, KIAS, S23 -- notes
Virasoro constraints; history and moduli of sheaves, Simons collaboration meeting, Oxford, WI22 -- notes
Quot scheme theory of surfaces, Utrecht Geometry Seminar, FA22 -- notes
Virasoro constraints and wall-crossing via vertex algebras, Edinburgh Geometry Seminar, FA22 -- notes
Virasoro constraints in sheaf theory and vertex algebras, Intercontinental Moduli and Algebraic Geometry Zoominar, FA22 -- notes
Virasoro constraints in sheaf theory and vertex algebras, UCSD Algebraic Geometry Seminar, FA22 -- notes for a main talk and a pre-talk
Virasoro constraints for moduli of sheaves, Seminar Algebraic Geometry at Bonn, SP22 -- notes
Virtual invariants of Quot schemes of surfaces, FRAGMENT seminar, SP21 -- notes
Lecture series on virtual invariants of Quot schemes of surfaces, ETH moduli seminar, SP21 -- notes 1, 2, 3. (See here for details of the lectures.)
Virtual χ−y-genera of Quot schemes on surfaces, ETH moduli seminar, WI20 -- notes