The Centre for Mathematics of the University of Porto has opened a call for 3 research scholarships to be granted to candidates wishing to pursue a PhD degree in Mathematics at the UC|UP PhD Program in Mathematics (edition 2026/2027), under the supervision of a CMUP researcher.
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