Research

Virasoro constraints and representations for quiver moduli spaces (with M. Moreira), arXiv:2403.13982 (2024) -- preprint 

Cohomology rings of the moduli of one-dimensional sheaves on the projective plane (with Y. Kononov, M. Moreira, W. Pi), arXiv:2403.06277 (2024) -- preprint, cohomology rings 

Moduli spaces of sheaves: an overview, curves and surfaces, (2024) -- preprint 

Cohomological chi-dependence of ring structure for the moduli of one-dimensional sheaves on P^2 (with M. Moreira, W. Pi), Forum Math. Sigma 12 (2024) -- journal, preprint, Mathematica code 

Virasoro constraints for moduli of sheaves and vertex algebras (with A. Bojko, M. Moreira), Invent. Math. 236 (2024) -- journal, preprint

The virtual K-theory of Quot schemes of surfaces (with 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

Moduli of stable bundles on curves, 102pp (2022) -- notes, course website 

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

Virasoro constraints, vertex operator algebras, and wall-crossing, Workshop on moduli spaces, virtual invariants and shifted symplectic structures, KIAS, S23

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 on moduli of sheaves and vertex algebras, Arithmetic and Algebraic Geometry Seminar, EPFL, FA22

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

Virasoro constraints for sheaves and pairs via wall-crossing in vertex algebra, ETH moduli seminar, SP22 

Virasoro constraints for stable pairs on Calabi-Yau 4-folds, KIAS algebraic geometry seminar, FA21 

Wall-crossing formula for pairs on Calabi-Yau 4-folds, ETH moduli seminar, FA21 

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

Rationality of the virtual invariant series of Quot schemes on surfaces, UCSD Algebraic Geometry Seminar, WI20