Algebraic geometry, moduli theory, mathematical physics, geometric representation theory.
Papers
A short way of counting maps to hypersurfaces in Grassmannians (with Shubham Sinha), arXiv:2506.10593.
Derived categories of Quot schemes on smooth curves and tautological bundles (with Andrei Negut), arXiv:2411.08695.
The cohomology of the Quot scheme on a smooth curve as a Yangian representation (with Andrei Negut), arXiv:2307.13671.
On the cohomology of tautological bundles over Quot schemes of curves (with D. Oprea and S. Sam), arXiv:2211.03901, to appear in Algebra and Number Theory.
.The Segre-Verlinde correspondence for the moduli space of stable bundles on a curve, Comm. Math. Phys. 406 (2025).
On product identities and the Chow ring of holomorphic symplectic varieties (with I. Barros, L. Flapan, R. Silversmith), Selecta Math. 28 (2022).
Higher rank Segre integrals over the Hilbert scheme of points (with D. Oprea and R. Pandharipande), J. Eur. Math. Soc. 24 (2022), 2979-3015.
On the group of zero-cycles of holomorphic symplectic varieties (with X. Zhao), EPIGA 4 (2020).
The combinatorics of Lehn's conjecture (with D. Oprea and R. Pandharipande), J. Math. Soc. Japan 71 (2019), 299-308.
Segre classes and Hilbert schemes of points (with D. Oprea and R. Pandharipande), Ann. Sc. ENS 50 (2017), 239-267.
On the strange duality conjecture for abelian surfaces II (with B. Bolognese, D. Oprea, K. Yoshioka), J. Algebraic Geom. 26 (2017), 475-511.
The Chern character of the Verlinde bundle over M_{g,n} bar (with D. Oprea, A. Pixton, R. Pandharipande, D. Zvonkine), J. Reine Angew. Math. 732 (2017).
The first Chern class of the Verlinde bundles (with D. Oprea and R. Pandharipande), Proc. Sympos. Pure Math. 90 (2015), 87-111.
On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors (with D. Oprea), Ann. Inst. Fourier (Grenoble) 64 (2014), 2067-2086.
On the strange duality conjecture for abelian surfaces (with D. Oprea), J. Eur. Math. Soc. 16 (2014), 1221-1252.
Generic strange duality for K3 surfaces (with D. Oprea, appendix by K. Yoshioka), Duke Math. J. 162 (2013), 1463-1501.
The moduli space of stable quotients (with D. Oprea and R. Pandharipande), Geom. Topol. 15 (2011), 1651-1706.
GL Verlinde numbers and the Grassmann TQFT (with D. Oprea), Port. Math. 67 (2010), 181-210.
Sheaves on abelian surfaces and strange duality (with D. Oprea), Math. Ann. 343 (2009), 1-33.
A tour of theta dualities on moduli spaces of sheaves (with D. Oprea), Contemp. Math. 465 (2008), 175-201.
The level-rank duality for nonabelian theta functions (with D. Oprea), Invent. Math. 168 (2007), 225-247.
Counts of maps to Grassmannians and intersections on the moduli space of bundles (with D. Oprea), J. Differential Geom. 76 (2007), 155-175.
On the intersection theory of Quot schemes and moduli of bundles with sections, J. Reine Angew. Math. 610 (2007), 13-27.
Virtual intersections on the Quot scheme and Vafa-Intriligator formulas (with D. Oprea), Duke Math. J. 136 (2007), 81-113.
On the intersection theory of the moduli space of rank two bundles (with D. Oprea), Topology 45 (2006), 531-541.
On the real moment map, Math. Res. Lett. 8 (2001), 779-788.
Volume 40On 6, article number 5, (2025)On