Selected Papers published by Nigel Hitchin, Ngô Bảo Châu and their collaborators at ICMAT


  • Álvarez-Cónsul, L.; de Arriba de la Hera, A.; Garcia-Fernandez, M. “(0,2) Mirror symmetry on homogeneous Hopf surfaces”, International Mathematics Research Notices (2023),
  • García-Fernández, M.; Rubio, R.; Tipler, C. “Gauge theory for string algebroids”, to appear in J. Diff. Geometry.
  • García-Prada, O.; Peon-Nieto, A. “Abelianization of Higgs bundles for quasi-split real groups”, Transformation Groups. 28 (2023) 285–325


  • García-Fernández, M.; Rubio, R.; Shahbazi, C.; Tipler, C. “Canonical metrics on holomorphic Courant algebroids”, Proc. London Math. Soc. 125 (3) (2022) 700-758
  • Hitchin, N.; Hausel, T. “Very stable Higgs bundles, equivariant multiplicity and mirror symmetry”, Invent. Math. 228 (2022), no. 2, 893–989


  • García-Fernández, M.; Pingali, V.; Yao, C. “Gravitating vortices with positive curvature”, Advances in Mathematics 388 (2021) 107851
  • García-Fernández, M. Streets, J. “Generalized Ricci Flow”, University Lecture Series, Volume 76, 2021, 248 pp, American Mathematical Society
  • O. García-Prada, O.; Peón-Nieto, A.; S. Ramanan, S. “Higgs bundles for real groups and the Hitchin–Kostant–Rallis section”, Transactions of the AMS 370 (2018), 2907–2953


  • Chen, T.H.; Châo, Ngô Bảo. “On the Hitchin morphism for higher-dimensional varieties”, Duke Mathematical Journal 169 (2020) 1971–2004.
  • Garcia-Fernandez, M. “T-dual solutions of the Hull-Strominger system on non-Kähler threefolds”, J. reine angew. Math. 766 (2020) 137–150
  • García-Prada, O. “Higgs bundles and higher Teichmüller spaces, in: A. Papadopoulos (Ed.)”, Handbook on Teichmüller Theory, vol. VII, European Mathematical Society, 2020.


  • García-Fernández, M. “Ricci flow, Killing spinors, and T-duality in generalized geometry”, Adv. Math. 350 (2019) 1059-1108
  • Aparicio-Arroyo, M.; Bradlow, S.B.; Collier, B.; García-Prada, O.; Gothen, P.B.; Oliveira, A. “SO(p, q)-Higgs bundles and higher Teichmüller components”, Math. 218 (2019) 197–299.
  • Biswas, I.; García-Prada, O.; Hurtubise, J. “Branes and Langlands duality”, Math. Phys., 365 (2019) 1005–1018.
  • Burgos Gil, J.I.; Holmes, D.; Jong, R. de. “Positivity of the height jump divisor”, International Mathematics Research Notices 7 (2019) 2044–2068.
  • García-Prada, O.; Ramanan, S. “Involution and Higher order automorphism of Higgs bundles moduli spaces”, London Math. Soc. 119 (2019), 681–732.
  • Hitchin, N. J. “Critical loci for Higgs bundles”, Math. Phys. 366 (2019) 841–864.


  • Andersen, J.E.; Dancer, A.; García-Prada, O.; editors, “Geometry and Physics: A Festschrift in honour of Nigel Hitchin”, 2 volumes, Oxford University Press, 2018.
  • Guichard, O.; Wienhard, A. “Positivity and higher Teichmüller theory. In V. Mehrmann and M. Skutella (eds.)”, European Congress of Mathematics (7ECM). European Mathematical Society (EMS), Zürich, 2018, 289–310.


  • García-Fernández, M.; Rubio, R.; Tipler, C. “Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry”, Mathematische Annalen 369 (2017) 539-595
  • Biquard, O.; García-Prada, O.; Rubio, R. “Higgs bundles, the Toledo invariant and the Cayley correspondence”, of Topology 10 (2017) 795–826.


  • Alfaya, D.; Gómez, T. “Torelli theorem for the parabolic Deligne-Hitchin moduli space”, Travaux mathématiques 24 (2016) 151–165.
  • Hitchin, N. J. “Higgs bundles and characteristic classes, Arbeitstagung Bonn 2013: In Memory of Friedrich Hirzebruch, W.Ballmann et al (eds)”, Birkhäuser Progresss in Mathematics, 319, 247–264, 2016.


  • García-Fernández, M. “Torsion-free generalized connections and Heterotic Supergravity”, Comm. Math. Phys. 332 (2014) 89-115


  • Álvarez-Cónsul, L; García-Fernández, M.; García-Prada, O. “Coupled equations for Kähler metrics and Yang–Mills connections”, Geometry and Topology 17 (2013) 2731– 2812.
  • García-Prada, O.; Gothen, P. B.; Mundet i Riera, I. “Higgs bundles and surface group representations in the real symplectic group”, Journal of Topology 6 (2013) 64–118.
  • García-Prada, O.; Heinloth, J. “The y-genus of the moduli space of PGLn-Higgs bundles on a curve (for degree coprime to n)”, Duke Math. J., 14 (2013) 2731–2749.


  • Châu, Ngô Bảo. “Le lemme fondamental pour les algébres de Lie”, Math. IHES 111 (2010), 1–169.
  • García-Prada, O.; Bourguignon, J-P; Salamon, S., editors. “The Many Facets of Geometry: A tribute to Nigel Hitchin”, Oxford University Press, 2010.


  • Bradlow, S.B.; García-Prada, O.; Gothen, P.B. “Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces”, Geometriae Dedicata 127 (2007) 87–98.


  • Châu, Ngô Bảo. “Fibration de Hitchin et endoscopie”, Math. 164 (2006) 399–453.
  • Châu, Ngô Bảo. “Fibration de Hitchin et structure endoscopique de la formule des traces”, Proceedings of the ICM Madrid 2006, 1213–1225.


  • Hitchin, N. J. “Lie groups and Teichmüller space”, Topology 31 (1992) 449–473.


  • Hitchin, N. J. “The self-duality equations on a Riemann surface”, London Math. Soc. (3) 55 (1987), 59–126.
  • Hitchin, N. J. “Stable bundles and integrable systems”, Duke Math. J. 54 (1987), 91–114.