Institut für Mathematik
Rudower Chaussee 25
Tel. +49 (0)30 2093 - 5837
Fax +49 (0)30 2093 - 5853
Humboldt Universität zu Berlin
Unter den Linden 6
ortega at math.hu-berlin.de
German Algebraic Geometry Seminar
(NoGAGS), Humboldt University, 9-10 February, 2023
Algebraic Geometry, Roma Tre, 14-17 June, 2022
Arithmetic, Geometry, Criptography and Coding Theory, CIRM Luminy, 31 May - 4 June, 2021
Classical Algebraic Geometry, Oberwolfach, 20-26 June, 2021
Trieste Algebraic Geometry Summer School, 19-23 July, 2021
Mathematical Congress of the Americas, 19-24 July, 2021
Moduli and Algebraic Cycles, Institut Mittag-Leffler, September, 2021
Algebraic Geometry and Complex Geometry, CIRM Luminy, 25-29 November 2019.
4th Latinoamerican School on Algebraic Geometry, Talca, Chile 2-13 December 2019.
ISAAC 2019: Complex Geometry, Aveiro, July 29- August 2, 2019.
Birational Geometry and moduli spaces, MSRI, February-March 2019.
Geometria in Biacocca 2018 , May 31-June 1, 2018.
Classical Algebraic Geometry, Oberwolfach, 15-22 July 2018.
Iberoamerican congress on Geometry, Valladolid, Spain, 22-26 January 2018.
Agnes conference in Northeastern University, 13 -15 October 2017.
Summer School 2017, 27th August - 1st September 2017 in Texel Island, The Netherlands.
Higgs Bundles, K3 Surfaces and Moduli, 10-12 July 2017 at Humboldt Universität.
Varietés 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), J. Reine Angew. Math. 730 (2017), 225-249. ArXiv: math.AG/ 1212.6248.
Restricted Lazarsfeld -Mukai bundles and canonical curves (with M. Aprodu and G. Farkas), Development of moduli theory—Kyoto 2013, 303-322, Adv. Stud. Pure Math., 69, Math. Soc. Japan, [Tokyo], 2016. 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 uniformization of the moduli space of principally polarized abelian 6-folds (with V. Alexeev, R. Donagi, G. Farkas and E. Izadi), J. Reine Angew. Math. 761 (2020), 163-217. ArXiv: math.AG/1507.05710.
The fibres of the Prym map of etale cyclic coverings of degree 7 (with H. Lange). Contributions of Mexican Mathematicians Abroad in Pure and Applied Mathematics, Contemporary Math., vol 709, (2018). arXiv: math.AG/1604.01700.
22. Generated coherent systems and a conjecture of D. C. Butler (with L. Brambila-Paz, O. Mata-Gutierrez, P. Newstead). Int. Journal of Math. 30 (2019), no. 5 1950024.
In Summer Semester 2023 I'm teaching Number