Laura Costa Farras

Laura Costa Farras

Full professor

ORCID: 0000-0002-0397-5941
Knowledge area: Àlgebra

Directora Departament de Matemàtiques i Informàtica

Research group: Algebra i Geometria Algebraica (AGA)

Contact Information
Department of Mathematics and Computer Science


costa(a)ub.edu

My profile

Researcher in Algebraic Geometry. My main research lines are linked to: the study of vector bundles with certain cohomological properties, the clasification of vector bundles (moduli problems), ... + info

Academic training

Matemáticas . Universitat de Barcelona . (Diploma / Degree / Activities)
Matemáticas . Universitat de Barcelona . 30/11/1998 . (Ph.D.)

Imparted Teaching (last 10 years)

Varietats Algebraiques (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Matemàtica Discreta (Bachelor's degree) - Ingeniería Informática - Universidad de Barcelona.
Àlgebra (Bachelor's degree) - Ingeniería Informática - Universidad de Barcelona.
Treball Final de Grau (Bachelor's degree) - Matemáticas - Universidad de Barcelona.
Geometria Algebraica (University Master's Degree) - Matemática Avanzada y Profesional - Universidad de Barcelona.

Participation in Projects

Algebra i Geometria Algebraica . 2014 - 2017 . Ref.2014SGR114 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Rosa Maria Miro Roig
FIBRADOS VECTORIALES SOBRE VARIEDADES PROYECTIVAS PHBP14/00073 . 2014 - 2016 . Ref.PHBP14/00073 . Ministerio de Educación, Cultura y Deporte . PI: Rosa Maria Miró-Roig
algebraic geometry . 2011 - 2011 . Ref.BE-DGR2010 00790 . Generalitat de Catalunya . PI: laura costa
Fibrados vectoriales y tipo de representación de una variedad proyectiva . 2014 - 2016 . Ref.MTM2013-45075-P . Ministerio de Economia y Competitividad . PI: Rosa Maria Miro Roig
Mención de Excelencia Maria de Maetzu al Barcelona Graduate School of Mathematics (BGSMath) . 2015 - 2019 . Ref.MDM-2014-0445 . Ministerio de Economia y Competitividad . PI: Marcos Noy Serrano
Algebra i Geometria Algebraica (AGA) . 2017 - 2021 . Ref.2017SGR585 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Rosa Maria Miro Roig
Fibrados Vectoriales en Geometría Algebraica . 2016 - 2020 . Ref.MTM2016-78623-P . Ministerio de Economia y Competitividad . PI: Rosa Maria Miro Roig
Beca per a estada de recerca fora de Catalunya (BE-DGR) 2010. Centre Mittag-Leffler Institute . 2011 - 2011 . Ref.2010BE100790 . Departament d'Economia i Coneixement. Generalitat de Catalunya . PI: Laura Costa Farras
Geometria algebraica . 2009 - 2013 . Ref.2009SGR993 . Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) . PI: Eduardo Casas Alvero

Relevant publications (Journal Publications and Other publications - last 10 years)

Coskun, I.; Costa, L.;Huizenga, J.; Miró-Roig, R.M.;Woolf, M. (2017). Ulrich Schur bundles on flag varieties. Journal of Algebra, 474, pp. 49 - 96 . ISSN: 0021-8693
Costa, L.; Miró-Roig, R.M (2016). Homogeneous ACM bundles on a Grassmannian. Advances in Mathematics, 289, pp. 95 - 113 . ISSN: 0001-8708
Costa, L.; Miró-Roig, R.M. (2015). Moduli spaces of linear bundles on hyperquadrics. Journal of Pure and Applied Algebra, 219(6), pp. 2471 - 2487 . https://doi.org/10.1016/j.jpaa.2014.09.011 . ISSN: 0022-4049
Costa, L.; Hoffmann, N.; Miró-Roig, R.M., Scmitt, A. (2014). Rational families of instanton bundles on P^{2n+1}. Algebraic Geometry, 2, pp. 229 - 260 . https://doi.org/10.14231/AG-2014-012 . ISSN: 2214-2584
Costa, L.; Miró-Roig, R.M.; Pons-Llopis, J. (2012). The representation type of Segre varieties. Advances in Mathematics, 230, pp. 1995 - 2013 . ISSN: 0001-8708
Costa, L.; Miró-Roig, R.M. (2012). Derived category of toric varieties with small Picard number. Central European Journal of Mathematics, 10, pp. 1280 - 1291 . ISSN: 1895-1074
Aprodu, M.; Costa, L.; Miró-Roig, R.M. (2017). Rank-two vector bundles on non-minimal ruled surfaces. Transactions of the American Mathematical Society . Institutional Repository . ISSN: 0002-9947
Aprodu, M.; Costa, L.; Miró-Roig, R.M. (2018). Ulrich bundles on ruled surfaces. Journal of Pure and Applied Algebra, 222(1), pp. 131 - 138 . Institutional Repository . ISSN: 0022-4049
Aprodu, M.; Costa, L.; Miró-Roig, R.M. (2017). Rank-two vector bundles on non-minimal ruled surfaces. Transactions of the American Mathematical Society . Institutional Repository . ISSN: 0002-9947
M. Aprodu, G. Casnati, L. Costa, R. M. Miró-Roig, M. Teixidor (2020). Theta divisors and Ulrich bundles on geometrically ruled surfaces. Annali di Matematica Pura ed Applicata, 199(1), pp. 199 - 216 . https://doi.org/10.1007/s10231-019-00873-6 . ISSN: 0373-3114

Conferences and Participations in Congresses (last 10 years)

L. Costa (2016). Ulrich bundles on flag varieties. (Invited conference) . Ulrich sheaves and syzygies . DEMOCRATIC PEOPLE'S REPUBLIC OF KOREA
L Costa (2016). . (Participation in scientific/organizer committee) . 1r encuentro de la Red de Geoemtria Algebraica y Singularidades RGAS . SPAIN
L. Costa (2016). ACM bundles on algebraic varieties. (Invited conference) . Nairobi Lectures on Algebriac Geometry . KENYA
L. Costa (2016). Vector bundles on algebraic surfaces. (Invited conference) . Nairobi Lectures on Algebraic Geometry . KENYA
L. Costa (2015). Ulrich bundles on Grassmannians. (Invited conference) . Arithmetic and Algebraic Geometry Colloquium, Womens at IMPA . RIO . BRAZIL
L. Costa (2015). Ulrich bundles on Grassmannians. (Invited conference) . AMS-EMS-SPM International Meeting 2015 Porto, Portugal . Porto . PORTUGAL
L. Costa (2014).

Special Session Algebraic Geoemtry at First Join International Meeting RSME-SCM-SEMA-SIMAI

. (Chair of scientific/organizer committee) . SPAIN
Costa, L. (2013). The representation type of Segre varieties. (Invited conference) . Vector bundle days in Pau . Pau . FRANCE
Costa, L. (2013). The representation type of segre varieties. (Invited conference) . Congreso anual Rewal Sociedad Matemática española . SPAIN
L. Costa (2012). GAELXX+. (Chair of scientific/organizer committee) . GAELXX+ . Grenoble . FRANCE