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.