Papers



On the geometry of vector bundles over a fixed curve.


On the intersection theory on the moduli space of rank two bundles (with D. Oprea), Topology 45 (2006), 531-541, pdf.

Virtual intersections on the Quot scheme and Vafa-Intriligator formulas (with D. Oprea), Duke Math Journal 136 (2007), 81-113, pdf.

On the intersection theory of Quot schemes and moduli of bundles with sections, Jour. reine und angew. Math. 610 (2007), 13-27, pdf.

Counts of maps to Grassmannians and intersections on the moduli space of bundles (with D. Oprea), Journal of Differential Geometry 76 (2007), 155 - 175, pdf.

The level-rank duality for nonabelian theta functions (with D. Oprea), Inventiones Mathematicae 168 (2007), 225-247, pdf.

GL Verlinde numbers and the Grassmann TQFT (with D. Oprea), Proceedings of the 2009 Lisbon Geometry Summer School, Port. Math. 67 (2010), 181-210, pdf.


On relative spaces of sheaves over the moduli space of curves.


The moduli space of stable quotients (with D. Oprea and R. Pandharipande), Geometry and Topology 15 (2011), 1651-1706, pdf.

The Chern classes of the Verlinde bundles (with D. Oprea and R. Pandharipande), Proceedings of String-Math Bonn 2012, Proceedings of Symposia in Pure Mathematics (2015), 87-111, pdf.

The Chern character of the Verlinde bundle over \overline M_{g,n}, (with D. Oprea, R. Pandharipande, A. Pixton, D. Zvonkine), to appear in Jour. reine und angew. Math., pdf.


A trilogy on the geometry of sheaves on K3 surfaces and strange duality.


A tour of theta dualities on moduli spaces of sheaves (with D. Oprea), Contemporary Mathematics 465 (2008), 175-202, pdf.

Generic strange duality for K3 surfaces (with D. Oprea, appendix by K. Yoshioka), Duke Math Journal 162 (2013), 1463-1501, pdf.

On Verlinde sheaves and strange duality over elliptic Noether-Lefschetz divisors (with D. Oprea), Annales de l'Institut Fourier 64 (2014), 2067-2086, pdf.


A trilogy on the geometry of sheaves on abelian surfaces and strange duality.


Sheaves on abelian surfaces and strange duality (with D. Oprea), Math. Annalen 343 (2009), 1-33, pdf.

On the strange duality conjecture for abelian surfaces (with D. Oprea), Jour. Eur. Math. Soc. 16 (2014), 1221-1251, pdf.

On the strange duality conjecture for abelian surfaces II (with B. Bolognese, D. Oprea, and K. Yoshioka), to appear in Jour. Algebraic Geometry, pdf.


On Hilbert schemes of points, geometry of K3 moduli.


Segre classes and Hilbert schemes of points (with D. Oprea and R. Pandharipande), to appear in Ann. Sci. ENS, pdf.


Older (undergrad) work : On the real moment map, Math. Res. Lett. 8 (2001), 779-788, pdf.