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.
I am member of the Sonderforschungsbereich 647 "Raum-Zeit-Materie", the International Research Trining Group GK1800 "Moduli and Automorphic Forms"
and part of the postdoc faculty of the Berlin Mathematical School BMS.

The conference Syzygies in Berlin will take place at Zuse-Institut , May 27-31, 2013.

This semester the NoGAGS seminar will take place at Leibniz Universität Hannover (17.05.2013)

Slides of my Habilitationsvotrag "Khovanov Homology" (23.012013).

Slides of my talk "Abelian varities and their moduli" given at the BMS Days (18.02.2013).

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). Int. Math. Res. Notices 22 (2011), 5045-5075. 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). Int. J. Math. 23 (2012). 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. To appear in Mathematische Annalen. doi: 10.1007/s00208-012-0870-5. ArXiv: math.AG/ 1203.2780.
The minimal resolution conjecture and Ulrich bundles (with M. Aprodu and G. Farkas), ArXiv: math.AG/ 1212.6248 .
Tensor product of coherent systems, (with L. Brambila-Paz). ArXiv: math.AG / 0711.3944, preprint.

CV (.pdf)

Teaching

During the Winter semester 2012/2013 at Humboldt University I am teaching Algebra und Funktionentheorie. Sprechstunden: nach Vereinbarung

Punkteliste für LAAG I * . Die Noten werden nach dem 05.03 veröffentlichen.

Angela Ortega

Publications and preprints

CV (.pdf)

Teaching

Links