• Peter Gothen

  • Research Area

    Algebraic and Differential Geometry

  • Institution

    University of Porto

  • PhD

    Institution: University of Warwick
    Year: 1996

  • Main research publications

    • SO(p,q)-Higgs bundles and higher Teichmüller components (with M. Aparicio-Arroyo, S. Bradlow, B. Collier, O. Garcia-Prada, P. B. Gothen and A. Oliveira) , Inventiones Mathematicae 218 (2019)
    • The singular fibre of the Hitchin map (with A. Oliveira) , Int. Math. Res. Notices 2013 (2013)
    • Betti numbers of the moduli space of rank 3 parabolic Higgs bundles (with O. García-Prada, P. B. Gothen and V. Muñoz) , Memoirs of the American Mathematical Society 187 (2007)
    • Homological algebra of twisted quiver bundles (with A. D. King) , J. London Math. Soc. 71 (2005)
    • Surface group representations and U(p,q)-Higgs bundles (with S. B. Bradlow, O. Garcia-Prada) , J. Diff. Geom. 64 (2003)
  • PhD Students

    • Pedro Miguel Silva ongoing
    • Artur de Araújo Representations of Generalized Quivers 2017
    • Ronald Alberto Zúñiga-Rojas Homotopy Groups of Moduli of Higgs Bundles 2015
    • Björn Gohla Mapping Spaces of Gray Categories co-supervision with João Faria Martins (principal supervisor), 2013
    • Azizeh Nozad Hitchin pairs for the indefinite unitary group 2012
    • Sandra Bento Topology of moduli spaces of twisted Higgs bundles 2011
    • André Gama Oliveira Higgs bundles, quadratic pairs and the topology of moduli spaces 2008

Research and Events


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Defended Theses

  • Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
      André da Cruz Carvalho (April 2023)
      Pedro V. Silva
  • A point-free study of z-embeddings, more general classes of localic maps, and uniform continuity
      Ana Belén Avilez García (April 2023)
      Jorge Picado
  • Analysis of equations of motion of inextensible strings and networks
      Ayk Telciyan (April 2023)
      Dmitry Vorotnikov
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