Laura Costa

Laura Costa

Laura Costa
PhD in mathematics, from Universitat de Barcelona
Associate Professor at Universitat de Barcelona

Personal webpage

email: costa@ub.edu

Biosketch

2000-2001: Postdoctoral Fellow at Université Nice Sophia Antípolis
1999-2000: Postdoctoral fellow at Università di Firenze.
1995-1998: Research Fellow at Universitat de Barcelona.

 

Main scientific achievements

My main scientific achievement is the proof of rationality of some moduli spaces of stable vector bundles on rational surfaces (joint work with R.M. Miró-Roig) as well as the classification of vector bundles on algebraic surfaces with certain cohomological properties.

 

Research Interests

  • Moduli spaces of stable vector bundles on algebraic varieties
  • ACM and Ulrich bundles
  • Derived categories of coherent sheaves
  • Existence of low rank vector bundles on higher dimensional varieties

 

Selected publications 

  • Costa; G. Ottaviani, Nondegenerate multidimensional matrices and instanton bundles, Transactions of AMS, 355 (2003) 49-55.
  • Costa; R.M. Miró-Roig, Tilting sheaves on toric varieties, Math. Z., 248 (2004), 849-865.
  • Costa; R.M. Miró-Roig, Brill-Noether theory for moduli spaces of sheaves on algebraic varieties, Forum Math. 22 (2010), 411-432.
  • Costa, R.M. Miró-Roig, J. Pons-Llopis, The representation type of Segre varieties, Advances in Math. 230 (2012) 1995-2013.
  • Costa, R.M. Miró-Roig, GL(V)-invariant Ulrich bundles on Grassmannians, Math. Ann. 361, 443-457 (2015).