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 permanent researcher (wissenschaftliche Mitarbeiterin) at Humboldt Universität and part of the group of  Algebraic Geometry in the
Institut für Mathematik.  From October 1st 2015  to September 30th 2016 I am BMS Substitute Professor.

My
research interests are the geometry of moduli space of vector bundles on algebraic curves, Brill-Noether
theory, Moduli of vector bundles on currves and Abelian and Prym varieties.


Upcoming  Events

Summer School 2017,  27th August - 1st September  2017 in Texel Island, The Netherlands. 

Agnes conference in Northeastern University, 13 -15 October  2017.

Iberoamerican congress on Geometry, Valladolid, Spain,  22-26 January  2018. 



Past Events

Higgs 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).


 
My  CV  in .pdf format.


Publications and preprints


  1. Variétés de Prym associées aux revêtements n-cycliques d'une courbe hyperelliptique, Mathematische Zeitschrift 245 (2003), 97-103.  ArXiv: math/0307151

  2. 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.

  3. Prym-Tyurin varieties coming from correspondences with fixed points, Journal of Algebra 311 (2007), 268-281. ArXiv: math/0606538.

  4. 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.

  5. Estabilidad de sistemas coherentes, (with L. Brambila-Paz). Aportaciones Mat. Comun. 40 , Soc. Mat. Mexicana (2009), 15-26.

  6. Prym varieties of cyclic coverings , (with H. Lange).  Geom. Dedicata 150 (2011), 391-403. ArXiv: math/0805.1020.

  7. 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.

  8. 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.

  9. Higher rank Brill-Noether theory on sections of K3 surfaces,  (with G. Farkas). Int. J. Math. 23 (2012).  Arxiv: math.AG/ 1102.0276.

  10. 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.

  11. The Brill-Noether curve and Prym-Tyurin varieties. Math. Annalen 356, No. 3, (2013) 809-817ArXiv: math.AG/1203.2780.

  12. 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.

  13. 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.

  14. 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.

  15. The Prym map of degree-7 cyclic coverings (with H. Lange),  Algebra  Number Theory 10 (2016),  771--801.  ArXiv:math.AG/1501.07511.

  16. 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.

  17. Prym varieties of étale covers of hyperelliptic curves (with H. Lange), to appear in the Annali della Scuola Normale Superiore di Pisa.  Xiv: math.AG/1601.04082.
  18. The fibres of the Prym map of etale cyclic coverings of degree 7 (with H. Lange). arXiv: math.AG/1604.01700.

  19. Hyperelliptic curves on (1,4) polarised abelian surfaces (with P. Borowka). arXiv: math.AG/1708.01270.
  20. Generic injectivity of the Prym map for double ramified coverings (with J.C. Naranjo and A. Verra). arXiv:AG/1708.06512.

  21. On Butler's conjecture for higher rank (with L. Brambila-Paz, O. Mata-Gutierrez, P. Newstead), Preprint.
  22. Tensor product of coherent systems, (with L. Brambila-Paz). ArXiv: math.AG /  0711.3944.


Teaching

In Summer Semester  2017   I'm teaching the undergraduate course Analysis II (für Physiker). 



Sprechstunden:  nach Vereinbarung


Slides 

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

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


Links

Useful in Berlin:   webpage of the cityBVG (public transportation) and dictionaries (LEO, Dict).

Math in México:





Last update:  23.08.2017