Angela Ortega

Address:

Rudower Chaussee 25
12489 Berlin
Tel. +49 (0)30 2093 - 5837
Fax +49 (0)30 2093 - 5853

Postal address:

Unter den Linden 6
D-10099 Berlin

ortega at math.hu-berlin.de

I am researcher (wissenschaftliche Mitarbeiterin) at Humboldt Universität and part of the group of Algebraic Geometry in the
Institut für Mathematik. My main research interests are the geometry of moduli space of vector bundles on algebraic curves, Brill-Noether
theory, Abelian and Prym varieties.

In May 21-25 I am giving the exercise session of Sankaran´s course on "Abelian varieties and their moduli"
in the Summer School at the University of Georgia (Athens). I am also participating in the Georgia Algebraic Geometry Symposium, May 25-28.
Last year I visited the Isaac Newton Institute in Cambrige in the context of the program "Moduli spaces" (4 January -1 July 2011).
This semester the NoGAGS seminar will take place in Universität Hamburg.

Publications and preprints

Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique , Mathematische Zeitschrift 245 (2003), 97-103.
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 .
Prym-Tyurin varieties coming from correspondences with fixed points, Journal of Algebra 311 (2007), 268--281.
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.AG / 0805.1020 preprint ).
Prym varieties of triple coverings, (with H. Lange). To appear in International Mathematics Research Notices doi: 10.1093/imrn/rnq287. (ArXiv: math.AG / 0911.5224 preprint ).
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.AG/ 1010.4060, preprint).
Higher rank Brill-Noether theory on sections of K3 surfaces, (with G. Farkas). To appear in International Journal of Mathematics. Arxiv: math.AG/ 1102.0276.
Compactification of the Prym map for non cyclic triple coverings. (with H. Lange) ArXiv: math.AG/ 1103.4982.
The Brill-noether curve and Prym-Tyurin varieties. ArXiv: math.AG/ 1203.2780.
Tensor product of coherent systems, (with L. Brambila-Paz). ArXiv: math.AG / 0711.3944, preprint.

CV (.pdf)

Teaching

During the summer semester 2012 at Humboldt University I teach Übungen Algebra und Zahlentheorie . Sprechstunden: Mo. 15- 16 Uhr.

Angela Ortega

Publications and preprints

CV (.pdf)

Teaching

Links