## Publications and Preprints

This list may be incomplete and outdated. Please check the personal webpages for completion.

- Angela Ortega (with H. Lange),
*The Prym map of degree-7 cyclic coverings*, arXiv:1501.07511 - Gavril Farkas (with N. Tarasca),
*Pointed Castelnuovo numbers*, arxiv:1501.04882. - Remke Kloosterman
*Chevalley-Weil formula for hypersurfaces in Pn-bundles over curves and Mordell-Weil ranks in function field towers*arXiv:1501.05184.

- Gavril Farkas and Michael Kemeny
*The generic Green-Lazarsfeld secant conjecture*, arXiv:1408.4164. - Gavril Farkas (with A. Verra)
*The universal abelian variety over A*, arXiv:1402.0539._{5} - Gavril Farkas (with A. Verra)
*The geometry of the moduli space of odd spin curves*, arXiv:1004.0278, to appear in Annals of Mathematics 180 (2014), 927-970. - Gavril Farkas and Angela Ortega (with Marian Aprodu)
*Restricted Lazarsfeld-Mukai bundles and canonical curves*, arXiv:1410.0857, to appear in Advanced Studies in Pure Mathematics (Math. Soc. Japan) on the occasion of Mukai's 60th birthday. - Remke Kloosterman
*Noether-Lefschetz theorem for hypersurface sections of singular threefolds*, arXiv:1403.3609.

- Remke Kloosterman,
*Maximal families of nodal varieties with defect*, arXiv:1310.0227. - Gavril Farkas,
*Brill-Noether with ramification at unassigned points*, arXiv:1301.5673. - Gavril Farkas (with A. Verra),
*The universal difference variety over M*, pdf, to appear in Rendiconti del Circolo Matematico di Palermo 62 (2013), 97-110._{g} - Angela Ortega (with H. Lange)
*Log canonical models of the moduli space of spin curves of genus two*, J. London Math. Soc. 90, No.3 (2014), 763--784. ArXiv: math.AG/1309.6984. - Paul Larsen,
*Fano schemes of genericintersections and machine learning*, arXiv:1301.3078.

- Gavril Farkas (with Dawei Chen and Ian Morrison),
*Effective divisors on moduli spaces of curves*, arXiv:1205.6138, to appear in the proceedings of "A Celebration of Algebraic Geometry" (ed. Brendan Hassett, James McKernan, Jason Starr, and Ravi Vakil). - Gavril Farkas,
*Theta characteristics and their moduli*, arXiv:1201.2557, to appear in the Milan Journal of Mathematics. - Gavril Farkas (with Alessandro Chiodo),
*Singularities of the moduli space of level curves*, arXiv:1205.0201. - Gavril Farkas (with Alessandro Chiodo, David Eisenbud, and Frank-Olaf Schreyer),
*Syzygies of torsion bundles and the geometry of the level l modular variety over M*, arXiv:1205.0661._{g} - Paul Larsen,
*Notes on Fano varieties of complete intersections*, arXiv:1211.6249. - Paul Larsen,
*Complete intersections and movable curves on the moduli space of six-pointed rational curves*, to appear in the International Journal of Algebra and Computation, arXiv:1203.4686. - Cristina Manolache (with Tom Coates, Amin Gholampour, Hiroshi Iritani, Yunfeng Jiang, and Paul Johnson),
*The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces*, arXiv:1202.2754. - Fabian Müller,
*The pullback of a theta divisor to M_{g,n}*, arXiv:1203.3102. - Angela Ortega,
*The Brill-Noether curve and Prym-Tyurin varieties*, arXiv:1203.2780. - Nicola Tarasca,
*Brill-Noether loci in codimension two*, arXiv:1201.4948.

- Gavril Farkas,
*Brill-Noether geometry on moduli spaces of spin curves,*Classification of algebraic varieties-Schiermonnikoog 2009, 259-276, C. Faber, G. van der Geer, E. Looijenga editors, EMS Congress Reports 2011 (dvi, pdf). - Gavril Farkas (with Marian Aprodu),
*Green's Conjecture for general covers,*Compact moduli spaces and vector bundles, Athens Georgia, Contemporary Mathematics, 564 (2012).(pdf). - Gavril Farkas (with Marian Aprodu),
*The Green Conjecture for smooth curves lying on arbitrary K3 surfaces,*Compositio Mathematica 147 (2011),839-851 (dvi, pdf). - Gavril Farkas,
*Prym varieties and their moduli*, arXiv:1104.2886, to appear in the volume "Contributions to algebraic geometry" (P. Pragacz editor), EMS Congress Reports. - Gavril Farkas (with Alessandro Verra),
*Moduli of theta-characteristics via Nikulin surfaces*,to appear in Mathematische Annalen (2012)(dvi, pdf). - Gavril Farkas (with Samuel Grushevsky, Ricardo Salvati-Manni and Alessandro Verra),
*Singularities of theta divisors and the geometry of A_5*, arXiv.1112.6285(dvi, pdf). - Margherita Lelli-Chiesa,
*Stability of rank 3 Lazarsfeld_Mukai bundles on K3 surfaces*, arXiv:1112.2938. - Gavril Farkas and Angela Ortega,
*Higher rank Brill-Noether theory on sections of K3 surfaces,*to appear in the International Journal of Mathematics, arXiv:1102.0276. - Remke Kloosterman,
*Cuspidal plane curves, syzygies and a bound on the MW-rank*, arXiv:1107.2043. - Remke Kloosterman (with Y .Goto, N. Yui),
*Zeta-functions of certainK3 fibered Calabi--Yau threefolds*, InternationalJournal of Mathematics 22:67-129 (2011) (arXiv:0911.0783). - Paul Larsen, Permutohedral spaces and the Cox ring ofthe moduli space of stable pointed rationalcurves, to appear in Geometriae Dedicata, arXiv:1105.5106.
- Angela Ortega (with Herbert Lange),
*Prym varieties of cyclic coverings,*Geom. Dedicata 150 (2011), 391-403. - Angela Ortega (with Herbert Lange),
*Compactification of the Prym map for non cyclic triple coverings*, Int. J Math. 24, No. 3, 1350015 (2013), arXiv:1103.4982. - Nicola Tarasca,
*Double points of plane models in M_{6,1}*, Journal of Pure and Applied Algebra 216 (2012), pp. 766-774 (arXiv:1102.4087).

- Michele Bolognesi (with Sonia Brivio),
*Modular subvarieties and birational geometry of SU_C(r),*to appear in International Journal of Mathematics(arXiv:1002.4382). - Michele Bolognesi,
*Forgetful linear systems on the projective space and rational normal curves over M_{0,2n}^{GIT},*Bull. Lond. Math. Soc. 43, no. 3, 583–596 (2011). - Gavril Farkas,
*Rational maps between moduli spaces of curves and Gieseker-Petri divisors,*Journal of Algebraic Geometry 19, 243-284 (2011) (dvi, pdf). - Gavril Farkas (with Alessandro Verra),
*The universal theta divisor over the moduli space of curves,*arXiv:1009.0184. - Gavril Farkas (with Alessandro Verra),
*The classification of universal Jacobians over the moduli space of curves*,to appear in Commentarii Mathematici Helvetici(2012)(dvi, pdf). - Gavril Farkas and Angela Ortega,
*The maximal rank conjecture and rank two Brill-Noether theory,*Pure and Applied Mathematics Quarterly 7 (2011), 1265-1296,Special volume dedicated to the memory ofE. Viehweg(dvi, pdf). - Margherita Lelli-Chiesa,
*The Gieseker-Petri divisor in M_g for genusless or equal than 13*, to appear in Geometriae Dedicata(arXiv:1012.3061). - Remke Kloosterman,
*The average rank of elliptic n-folds*,to appear in Indiana University MathematicsJournal(arXiv:1010.0152). - Cristina Manolache,
*Virtual push-forwards*, to appear in Geometry and Topology, arXiv:1010.2704. - Angela Ortega (with Herbert Lange),
*Prym varieties of triple coverings*, Int. Math. Res. Not. no. 22, 5045-5075 (2011).

- Gavril Farkas,
*The global geometry of the moduli space of curves,*Algebraic Geometry Seattle 2005, Proceedings of Symposia in Pure Mathematics 80 (2009)125-147(dvi, pdf). - Gavril Farkas,
*Koszul divisors on moduli spaces of curves,*American Journal of Mathematics 131 (2009), 819-867(dvi, pdf). - Gavril Farkas,
*The Fermat cubic and special Hurwitz loci in M_g*, Bulletin of the Belgian Mathematical Society "Simon Stevin" 5(2009), 831-851,Special volume dedicated to the conference "Linear series andsubschemes"-Ghent 2007(dvi, pdf). - Gavril Farkas (with Marian Aprodu),
*Koszul cohomology and applications to moduli,*Grassmannians, moduli spaces and vector bundles,Clay Mathematics Proceedings, E. Previato editor, Volume 14, 2011,25-50(dvi, pdf). - Gavril Farkas (with Alessandro Verra),
*The intermediate type of certain moduli spaces of curves,*arXiv:0910.3905. - Paul Larsen, Fulton's conjecture for M_{0,7}, Journal of the London Mathematical Society (2011) (arXiv:0912.3104, 2009).
- Angela Ortega (with L. Brambila-Paz),
*Brill--Noether bundles and coherent systems on special curves,*Moduli spaces and vector bundles, 456–472, London Math. Soc. LectureNote Ser., 359, Cambridge Univ. Press, Cambridge, 2009. - Angela Ortega (with L. Brambila-Paz),
*Estabilidad de sistemas coherentes,*Aportaciones Mat. Comun. 40 , Soc. Mat. Mexicana (2009), 15-26.

- Gavril Farkas,
*Higher ramification and varieties of secant divisors on the generic curve,*Journalof the London Mathematical Society 78 (2008), 418-440(dvi, pdf). - Gavril Farkas,
*Aspects of the birational geometry of M_g,*"Geometry of Riemann surfaces and their moduli spaces," Surveys inDifferential Geometry Vol. 14 (2010), 57-111(dvi, pdf). - Gavril Farkas (with Katharina Ludwig),
*The Kodaira dimension of the moduli space of Prym varieties,*Journal of the European Mathematical Society 12 (2010), 755-795.(dvi, pdf). - Gavril Farkas,
*The birational type of the moduli space of even spin curves,*Advances in Mathematics 223 (2010),433-443(dvi, pdf). - Remke Kloosterman,
*The elliptic threefold y*to appear in Rocky Mountain Journal of Mathematics (arXiv:0812.3222)^{2}=x^{3}+16s^{6}+16t^{6}-32(t^{3}s^{3}+t^{3}+s^{3})+16 - Remke Kloosterman,
*On the classification of degree 1 elliptic threefolds with constant j-invariant*.to appear in Illinois Journal of Mathematics(arXiv:0812.3014). - Remke Kloosterman (with K. Hulek),
*Calculating theMordell-Weil rank of elliptic threefolds and the cohomology ofsingular hypersurfaces*, to appear in Annales de l'Institut Fourier(arXiv:0806.2025). - Cristina Manolache,
*Virtual pull-backs*, to appear in Journal of Algebraic Geometry (2012)(arXiv:0805.2065v2).