Rudower Chaussee 25
Tel. +49 (0)30 2093 - 5837
Fax +49 (0)30 2093 - 5853
Unter den Linden 6
ortega at math.hu-berlin.de
School 2017, 27th August - 1st September 2017 in
Texel Island, The Netherlands.
conference in Northeastern University, 13 -15 October
congress on Geometry, Valladolid, Spain, 22-26
Bundles, K3 Surfaces and Moduli, 10-12 July 2017
at Humboldt Universität.
We organized the conference Moduli and Automorphic Forms: a meeting for women in mathematics
Geometry of Algebraic Varieties on the ocassion of Alesandro Verra's 65th birthday, 6-9 Octubre 2015, Humboldt Universität
The Summer School 2015 of the IRTG "Moduli and Automorphic Forms" in Siena.
AMS Summer Institute in Alebraic Geometry July 2015, Salt Lake City, Utah
ACM Bundles on Algebraic Varieties June 2015, Ankara Turkey
Joint Metting of AMS-EMS-SPM, June 2015, Porto Portugal
I spent a week during the Concetration Period, Moduli Spaces and Derived Categories in Warwick, February 2015
Motivic invariants related to K3 and abelian geometries Berlin, Humboldt University, 3-6 February 2015
We organized a conference on Moduli and Automorphic Forms at Humboldt Universität on May 22-24, 2014.
Workshop on Algebraic Geometry in Beijing
Conference on K3 surfaces in Schiermonnikoog (May 4-9, 2014).
Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique, Mathematische Zeitschrift 245 (2003), 97-103. ArXiv: math/0307151
On the moduli space of rank 3 vector bundles on a genus 2 curve and the Coble cubic, Journal of Algebraic Geometry 14 (2005), 327- 356. ArXiv: math/0309019v2.
Prym-Tyurin varieties coming from correspondences with fixed points, Journal of Algebra 311 (2007), 268-281. ArXiv: math/0606538.
Brill-Noether bundles and coherent systems over special curves, (with L. Brambila-Paz). Moduli spaces and vector bundles, 456–472, London Math. Soc. Lecture Note Ser., 359, Cambridge Univ. Press, Cambridge, 2009.
Estabilidad de sistemas coherentes, (with L. Brambila-Paz). Aportaciones Mat. Comun. 40 , Soc. Mat. Mexicana (2009), 15-26.
Prym varieties of cyclic coverings , (with H. Lange). Geom. Dedicata 150 (2011), 391-403. ArXiv: math/0805.1020.
Prym varieties of triple coverings, (with H. Lange). Int. Math. Res. Notices 22 (2011), 5045-5075. doi: 10.1093/imrn/rnq287. ArXiv: math/0911.5224.
The maximal rank conjecture and rank two Brill-Noether theory (with G. Farkas). Pure and Applied Mathematics Quarterly 7 (2011), 1265-1296 volume dedicated to Eckart Viehweg. ArXiv: math/1010.4060.
Higher rank Brill-Noether theory on sections of K3 surfaces, (with G. Farkas). Int. J. Math. 23 (2012). Arxiv: math.AG/ 1102.0276.
Compactification of the Prym map for non cyclic triple coverings. (with H. Lange). Int. J Math. 24, No. 3, 1350015 (2013). ArXiv: math/1103.4982.
The Brill-Noether curve and Prym-Tyurin varieties. Math. Annalen 356, No. 3, (2013) 809-817. ArXiv: math.AG/1203.2780.
The minimal resolution conjecture and Ulrich bundles (with M. Aprodu and G. Farkas), to appear in Journal für die reine und angewandte Mathematik. ArXiv: math.AG/ 1212.6248.
Restricted Lazarsfeld -Mukai bundles and canonical curves (with M. Aprodu and G. Farkas), to appear in a volume of Advanced Studies in Pure Mathematics (Math. Soc. Japan) on the occasion of Mukai's 60th birthday. ArXiv: math.AG/1410.0857.
Log canonical models of the moduli space of spin curves of genus two (with H. Lange), J. London Math. Soc. 90, No.3 (2014), 763--784. ArXiv: math.AG/1309.6984.
The Prym map of degree-7 cyclic coverings (with H. Lange), Algebra Number Theory 10 (2016), 771--801. ArXiv:math.AG/1501.07511.
The uniformization of the moduli space of principally polarized abelian 6-folds (with V. Alexeev, R. Donagi, G. Farkas and E. Izadi). ArXiv: math.AG/1507.05710.
The fibres of the Prym map of etale cyclic coverings of degree 7 (with H. Lange). arXiv: math.AG/1604.01700.
Generic injectivity of the Prym map for double ramified coverings (with J.C. Naranjo and A. Verra). arXiv:AG/1708.06512.
Tensor product of coherent systems, (with L. Brambila-Paz). ArXiv: math.AG / 0711.3944.
In Summer Semester 2017 I'm teaching the
undergraduate course Analysis II