Preprints:

Rigid stable vector bundles on hyperk\"ahler varieties of type K3^[n], arXiv:2211.08970, link

Theta groups and projective models of hyperk\"ahler varieties, arXiv:2204.09582 link

Rank 4 stable vector bundles on hyperk\"ahler fourfolds of Kummer type, arXiv:2203.03987 link

Published papers:


with Laure Flapan, Emanuele Macri' and Giulia Sacca': The geometry of antisymplectic involutions, I pdf

Moduli of sheaves on K3's and higher dimensional HK varieties pdf

Modular sheaves on hyperkähler varieties pdf

with Olivier Debarre, Frederic Han and Claire Voisin: Hilbert squares of K3 surfaces and Debarre-Voisin varieties pdf

with Radu Laza: GIT versus Baily-Borel compactification for K3's which are double covers of (P^1)^2 long short

Compact tori associated to hyperkaehler manifolds of Kummer type pdf

with Radu Laza: Birational Geometry of the moduli space of quartic K3 surfaces (2016) pdf

with Radu Laza: GIT versus Baily-Borel compactification for quartic K3 surfaces, Abel Symposia 14, Springer (2018), 217-283. pdf

Decomposable cycles and Noether-Lefschetz loci, Doc. Math. 21 (2016), 661-687. pdf

Moduli of double EPW-sextics, Mem. Amer. Math. Soc. 240 (2016), no. 1136. pdf

Periods of double EPW-sextics, Math. Z. 280 (2015), 485-524. pdf

Computations with modified diagonals, Rendiconti Lincei Matematica e Applicazioni 25 (2014), 249-274. pdf

Pairwise incident planes and hyperkaehler four-folds, A celebration of Algebraic Geometry Clay Mathematics Proceedings 18 (2013), 553-566. pdf

Moduli of sheaves and the Chow group of K3 surfaces, J. Math. Pures Appl. 100 (2013), 701-718. pdf

Double covers of EPW-sextics,
Michigan Math. J. 62 (2013), 143-184. pdf

Higher-dimensional analogues of K3 surfaces,
Current developments in algebraic geometry, Math. Sci. Res. Inst. Publ., 59, C.U.P. (2012), 257-293. pdf

EPW-sextics: taxonomy, Manuscripta Math. 138 (2012), 221-272. pdf

Dual double EPW-sextics and their periods, Pure Appl. Math. Q. 4 (2008), 427-468. pdf
 
Irreducible symplectic 4-folds numerically equivalent to (K3)^{[2]}, Commun. Contemp. Math. 10 (2008), 553-608.  pdf

Irreducible symplectic 4-folds and Eisenbud-Popescu-Walter sextics, Duke Math. J. 134 (2006), 99-137.  pdf

Involutions and linear systems on holomorphic symplectic manifolds,
Geom. Funct. Anal. 15 (2005), 1223-1274.  pdf

Hyperkahler manifolds and algebraic geometry, European Congress of Mathematics, 365-380, Eur. Math. Soc., ZuŸrich, 2005.  pdf

A new six-dimensional irreducible symplectic variety, J. Algebraic Geom. 12 (2003), 435-505.  pdf

Desingularized moduli spaces of sheaves on a K3, J. Reine Angew. Math. 512 (1999), 49-117.  pdf

Moduli of vector-bundles on surfaces, Algebraic geometry-Santa Cruz 1995, 101-126, Proc. Sympos. Pure Math., 62, 1997.

The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface, J. Algebraic Geom. 6 (1997), 599-644.

Relations among Donaldson polynomials of certain algebraic surfaces. II, Forum Math. 8 (1996), 135-193.

Moduli of vector bundles on projective surfaces: some basic results, Invent. Math. 123 (1996), 141-207.   pdf

Relations among Donaldson polynomials of certain algebraic surfaces. I, Forum Math. 8 (1996), 1-61.

with John Morgan: Differential topology of complex surfaces - Elliptic surfaces with p_g=1: smooth classification, Lecture Notes in Mathematics, 1545. Springer, 1993.

The irreducible components of moduli spaces of vector bundles on surfaces, Invent. Math. 112 (1993), 585-613.

Donaldson's polynomials for K3 surfaces, J. Differential Geom. 35 (1992), 415-427.

Algebro-geometric analogues of Donaldson's polynomials, Invent. Math. 107 (1992), 351-395.  pdf

On the Kodaira dimension of moduli spaces of abelian surfaces, Compositio Math. 72 (1989), 121-163. 

On the Picard group of the moduli space for K-3 surfaces, Duke Math. J. 53 (1986), 117-124.

The Hodge structure of the intersection of three quadrics in an odd-dimensional projective space, Math. Ann. 273 (1986), 277-285.