General and academic data

  • Born February 25 1958 in Barcelona (Spain).
  • Nationalities: Spanish and American.
  • Address: Mathematics Dpt. Tufts University, Medford, MA 02155, U.S.A.
  • Email:
  • Bachelor degree, Barcelona (Spain) 1980
  • PhD, Barcelona (Spain) 1986


  • "Ajudant de classes practiques" at Facultat de Matematiques de la Universitat de Barcelona (October 81-September 86)
  • Visiting Scholar at Brown University (September 86-June 87)
  • Visitor of "Universita di Roma II" (July-September 87)
  • Fellow of the University of Liverpool (October 87-September 88)
  • Research associate at the University of Liverpool (October 88-August 89)
  • Assistant Professor at Tufts University (September 89-May 94)
  • Associate Professor at Tufts University May 94-Fall 2004
  • Visiting Scholar at the University of Cambridge, England (May 96-August 98)
  • Professor at Tufts University since Fall 2004

Some Grants and Awards

  • "Premi extraordinari" for bachelor degree. Barcelona 1980
  • Postdoctoral grant for study in a foreign country from "Consejo Superior de Investigaciones Cientificas" (spanish version of the N.S.F.). October 86-August 88
  • N.S.F. Research Grant for the project "Algebraic Geometry, Moduli of vector bundles on Curves". June 91-November 93
  • Radcliffe Fellowship for 2004-2005
  • Grant from the Clay Institute (together with Emma Previatto) to organize a workshop in October 2006
  • Grant from the Clay Institute (together with Emma Previatto and Loring Tu) to host P.Newstead as a C.M.I. senior scholar as part of the program "Vector Bundles on Curves", Fall 2006

Some invited addresses and courses

  • Irreducibility of Sing Θ for Jacobians. In "Corso C.I.M.E. Theory of Moduli”. Montecatini, Italy. June 85.
  • Dimension of the Moduli Space of curves with Theta-characteristics.In "Seminar of Algebraic Geometry at Columbia University”, U.S.A. October 86.
  • Limit linear series and applications. In Seminar of Algebraic Geometry at Brown University", U.S.A. March 87.
  • Theta-characteristics and moduli of curves. At "College on Riemann Surfaces". Trieste, Italy. December 87.
  • Brill-Noether for stable vector bundles. In Algebraic Geometry Seminar at Harvard University, U.S.A. October 89.
  • Brill-Noether Theory. Cambridge-Oxford-Warwick Seminar, November 96.
  • Course on syzygies of curves,(with D.Eisenbud) Bayreuth (Germany), July 99.
  • Green's conjecture for generic curves of small gonality Eager Conference, Aussois (France), September 2003.
  • An introduction to counting geometric objects, Radcliffe Institute for Advanced Study, April 2005.
  • Existence of coherent systems Workshop on Vector bundles, Liverpool (U.K.), August 2005
  • Existence of coherent systems using reducible curves Workshop on Vector bundles, Munster (Germany), June 2006.
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