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Faculty

  • André Oliveira

    andre.oliveira@fc.up.pt

  • Research Area

    Moduli spaces of bundles over algebraic curves

  • Institution

    University of Porto

  • PhD

    Institution: University of Porto
    Year: 2008

  • Main research publications

    • Topology of moduli spaces of free group representations in real reductive groups (with Ana Casimiro, Carlos Florentino, Sean Lawton) , Forum Mathematicum 28 (2016)
    • Motives and the Hodge Conjecture for moduli spaces of pairs (with Vicente Muñoz, Jonathan Sánchez ) , Asian Journal of Mathematics 19 (2015)
    • Connectedness of the moduli of Sp(2p,2q)-Higgs bundles (with Oscar García-Prada) , Quarterly Journal of Mathematics 65 (2014)
    • The singular fiber of the Hitchin map (with Peter Gothen) , International Mathematics Research Notices 2013 2013 (2013)
    • Representations of surface groups in the projective general linear group , International Journal of Mathematics 22 (2011)
  • Adittional information

    My research centers in a mix of Algebraic Geometry, Differential Geometry and Algebraic Topology and their relationships with the equations of Mathematical Physics. More precisely, I am interested in the study of the geometry and topology of moduli spaces of (mainly Higgs-) bundles over curves. My arXiv personal area can be reached from here: https://arxiv.org/a/oliveira_a_1.html

    Topics on current projects:

    • Study of connected components of the moduli space Higgs bundles for the groups SO(p,q)
    • Relate the existence of exotic connected components of these moduli spaces with positivity property of the corresponding real Lie group.
    • Study of branes in the moduli space of Higgs bundles arising from fixed points by tensorisation by finite-order line bundles.
    • Study the normality of Higgs bundle moduli.
    • Study of the moduli space of the so-called skew-symmetric pairs.

Research and Events

Events

  • Representations of fundamental groups of surfaces
    Peter Gothen (CMUP)
    15:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • On the existence of solutions for inextensible string equations
    Ayk Telciyan (student)
    12:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Boolean representable simplicial complexes
    Maria Inês Couto (student)
    12:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • Campanato spaces and applications in partial differential equations
    David Jesus (student)
    11:30, Room 2.5, UC Math. Dept.
    (Seminar)
    November 23, 2018
  • A mathematical model for a plant circadian oscillator
    Adérito Araújo (CMUC)
    14:00, Room 2.5, UC Math. Dept.
    (Seminar)
    November 28, 2018
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Defended Theses

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