Some papers
On ramified covers of the projective plane I: Segre's theory and classification in small degrees (joint with Michael Friedman; appendix by Eugenii Shsustin)
Michael Friedman, Maxim Leyenson, and Eugenii Shustin, "ON RAMIFIED COVERS OF THE PROJECTIVE PLANE I: INTERPRETING SEGRE'S THEORY (WITH AN APPENDIX BY EUGENII SHUSTIN)." International Journal of Mathematics 22.05 (2011): 619-653.
On the Brill-Noether theory for K3 surfaces (math.AG/0511659)
On the Brill-Noether theory for K3 surfaces, II
"On the Brill-Noether theory for K3 surfaces",
Central European Journal of Mathematics,
August 2012, Volume 10, Issue 4, pp 1486-1540)
"Chern classes of universal bundles on moduli spaces of vector bundles on projective plane, or How to compute correlation function of supersymmetric N=2, N_f=4 quantum field theories on complex projective plane" (joint with Alexei Gorodentsev) (Manin's Festschrift)
older Arxiv version: arXiv:alg-geom/9604011
journal version: Yu. I. Manin's Festschrift (J. Math. Sci. 82, 1996, no. 1, 3165--3183)
On ramified covers of the projective plane II: Generalizing Segre's theory(joint with Michael Friedman and Rebecca Lehman)
journal version:
Friedman, Michael, et al. "On ramified covers of the projective plane II: Generalizing Segre’s theory." Journal of the European Mathematical Society 14.3 (2012): 971-996.
[will be expanded]