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Oscar García-Prada

Profesor de Investigación, CSIC


The complete list of publications can be found here.

Selected research publications

  1. (with S. Bradlow, B. Collier, P. Gothen and A. Oliveira), A general Cayley correspondence and higher rank Teichmüller spaces, Annals of Mathematics 200(3) (2024) 803-892.
  2. (with O. Biquard, B. Collier and D. Toledo), Arakelov–Milnor inequalities and maximal variations of Hodge structure, Compositio Math. 159 (2023) 1005-1041.
  3. (with O. Biquard and I. Mundet i Riera), Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group, Advances in Mathematics, 372 (2020) 107305.
  4. (with M. Aparicio-Arroyo, S.B. Bradlow, B. Collier, P.B. Gothen and A. Oliveira) SO(p,q)-Higgs bundles and higher Teichmüller components, Invent. Math., 218 (2019) 197–299.
  5. (with S. Ramanan) Involutions and higher order automorphisms of Higgs bundle moduli spaces, Proc. London Math. Soc., 119(3) (2019) 681-732.
  6. (with O. Biquard and R. Rubio), Higgs bundles, Toledo invariant and the Cayley correspondence, Journal of Topology, 10 (2017) 795–826.
  7. (with J. Heinloth and A. Schmitt), On the motives of moduli of chains and Higgs bundles, Journal of the European Mathematical Society, 16 (2014) 2617–2668.
  8. (with J. Heinloth), The y-genus of the moduli space of PGLn-Higgs bundles on a curve (for degree coprime to n), Duke Mathematical Journal, 14 (2013) 2731-2749.
  9. (with L. Álvarez-Cónsul and M. García-Fernández), Coupled equations for Kähler metrics and Yang-Mills connections, Geometry and Topology, 17 (2013) 2731-2812.
  10. (with P.B. Gothen and I. Mundet i Riera), Higgs bundles and surface group representations in the real symplectic group, Journal of Topology, 6(1) (2013) 64-118.
  11. (with D. Toledo), A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space, Geometry and Topology, 15:2 (2011) 1013-1027.
  12. (with S. Bradlow and P.B. Gothen), Homotopy groups of moduli spaces of representations, Topology, 47 (2008), 203-224.
  13. (with P.B. Gothen, and V. Muñoz), Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, Memoirs of the American Mathematical Society, 187, No. 879 (2007).
  14. (with I. Mundet i Riera), Representations of the fundamental group of a closed oriented surface in Sp(4,R), Topology 43 (2004) 831-855.
  15. (with S. Bradlow, y P.B. Gothen), Surface group representations and U(p,q)-Higgs bundles, J. Differential Geometry, 64 (2003) 111-170.

PhD Thesis

Others