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

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


Upcoming  Events

North German Algebraic Geometry Seminar (NoGAGS),  Humboldt University, 9-10 February, 2023
Moduli and Algebraic Cycles, Institut Mittag-Leffler, 29 May - 2 June, 2023
Recent Trends in Algebraic Geometry, Oberwolfach, 18-24 June, 2023

 

Past Events

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.




 
My  CV  in .pdf format.


Publications and preprints


  1. Varietés 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),  J. Reine Angew. Math. 761 (2020), 163--217. ArXiv: math.AG/1507.05710.

  17. Prym varieties of  etale covers of hyperelliptic curves (with H. Lange), Annali della Scuola Normale Superiore di Pisa, | Vol. XVIII, issue 2, 467--482.  ArXiv: math.AG/1601.04082.
  18. 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.

    19. On the Prym map of cyclic coverings (with H. Lange).  Archiv der Math. 111, Issue 6 (2018), 621--631https://doi.org/10.1007.

    20. Generic injectivity of the Prym map for double ramified coverings (with J.C. Naranjo and A. Verra), Trans. Amer. Math. Soc. 371 (2019), 3627--3646. ArXiv:AG/1708.06512.

    21. Hyperelliptic curves on (1,4)-polarised abelian surfaces (with P. Borowka),  Math. Z. 292, (2019), no. 1-2, 193--209. ArXiv: math.AG/1708.01270.

    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. 
          ArXiv: math.AG/1711.04815.

    23. The trigonal construction in the ramified case (with H. Lange). To appear in Journal of London Math.Soc.  ArXiv:math.AG/1902.00251.

    24.  Klein coverings over genus 2 curves (with P. Borowka), Trans. Amer. Math Soc. 373 (2020), no. 3, 1885--1907.  ArXiv: math.AG/1904.05962.

    25.  The Prym map: from coverings to abelian varieties, Notices of AMS 67,  (2020)
no. 9, 1316--1323

    26. Hodge classes on the moduli space of W(E_6)-covers and the geometry of A_6  (with V. Alexeev, R. donagi, G. Farkas and  E. Izadi), Pure Appl. Math. Q. 18 (2022),  no. 4,1211-1263. 
          ArXiv:math.AG/2107.09691.
   
    27.  Global Prym-Torelli for double coverings ramified in at least 6 points (with J.C. Naranjo),  J.Algebraic Geom. 31 (2022), no.2, 387-396. ArXiv:math.AG/2005.11108.

    28.  Prym varities and Prym map (with P. Borowka),  Notes for the Trieste Algebraic Geometry Summer School (TAGSS 2021),  Rend. Istit. Mat. Univ. Trieste,  
   
    29.  Involutions on hypereelliptic curves and Prym maps (with P. Borowka), preprint.



Teaching

In Summer Semester  2022  I'm teaching Number Theory. 



Sprechstunden:  nach Vereinbarung


Last update:  23.01.2023