Oscar García-Prada

Profesor de Investigación, CSIC








Research Group

Research Grant (Spanish Ministry of Science and Innovation)

Moduli spaces and gauge theory (PID2019-109339GB-C31)

Participants at ICMAT:

  1. -Oscar García-Prada, Principal Investigator (CSIC, Madrid, Spain)
  2. -Luis Álvarez-Consul co-Principal Investigator (CSIC, Madrid, Spain)
  3. -Guillero Barajas Ayuso (UAM, Madrid, Spain)
  4. -Guillermo Gallego Sánchez (UCM, Madrid, Spain)

Participants at other institutions:

  1. -Luis Ángel Calvo Pascual (Universidad Pontificia de Comillas, Madrid, Spain)
  2. -Brian Collier (University of California at Riverside, USA)
  3. -David Fernández Álvarez (Universität Bielefeld, Germany)
  4. -Emilio Franco Gómez (IST, Universidade de Lisboa, Portugal)
  5. - Nigel J. Hitchin (University of Oxford)
  6. - Ana Peón Nieto (Universitat Politècnica de Catalunya, Barcelona, Spain)
  7. - Dietmar Salamon (ETH, Zürich, Switzerland)

Research students

  1. Ignasi Mundet i Riera , Yang-Mills theory for symplectic fibrations (1999).
  2. Luis Álvarez Cónsul, Dimensional reduction and Hitchin-Kobayashi correspondence (2000).
  3. Marina Logares, Parabolic U(p,q)-Higgs bundles (2006).
  4. Marta Aparicio Arroyo, The Geometry of SO(p, q)-Higgs Bundles (2009).
  5. Mario García Fernández , Ecuaciones acopladas para métricas de Kähler y conexiones de Yang-Mills (2009).
  6. Roberto Rubio Nuñez, Higgs bundles and Hermitian symmetric spaces (2012).
  7. Álvaro Antón Sancho, Parabolic U(p,q)-Higgs bundles).
  8. Emilio Franco Gómez, Higgs bundles over elliptic curves (2012).
  9. Ana Peón Higgs bundles, real forms and the Hitchin fibration (2013).
  10. Luis Ángel Calvo Pascual Augmented bundles and real structures (2018).
  11. Manuel Jesús Pérez García Automorphisms of Higgs bundle moduli spaces for real groups (2018).

 

 

The Mathematics Genealogy Project

 

Current research students

  1. Guillermo Gallego Sánchez, Universidad Complutense de Madrid (started 2018)
  2. Guillermo Barajas Ayuso, Universidad Autónoma de Madrid (started 2019)
  3. Jesús Aguado López, Universidad Complutense de Madrid (started 2020)

Other supervised research students

  1. Miguel Ángel Moya Berlanga, Universidad Complutense de Madrid, España, 2018-2019
  2. Naveen Kumar, CMI, Chennai, India, November-December 2017.
  3. Felipe Castellano Macías, Northeastern University, USA, July-September 2017
  4. Francisco Torres de Lizaur, Ecole Normale Supérieure, Paris, France, March-July 2013
  5. Sara García Herrero, U. Complutense Madrid, Spain, July-September 2007

Supervised postdoctoral researchers

  1. Yann Rollin, École Polytechnnique, Palaiseu, France (2001).
  2. Fabio Pioli, SISSA, Trieste, Italy (2002-2004).
  3. Alexander Schmitt, U. Essen, Germany (2003-2004).
  4. Frank Nasser, U. Aarhus, Denmark (2004).
  5. Giovanna Scataglini, U. Oxford, United Kingdom (2004).
  6. Daniel Fox, Georgia Tech, EEUU (2006-2009) Juan de la Cierva programme.
  7. Mario García Fernández (2014-2016)
  8. Rohith Varma, CMI, Chennai, India (3 months in 2015 and 2016)
  9. Suratno Basu, CMI, Chennai, India (4 months in 2016)
  10. Varun Thakre, TIFR, Bangalore, India (1 month in 2017)
  11. Artur Araujo, 2017-2019.

 

 

 

Research Paper Collaborators

  1. L. Álvarez-Cónsul
  2. M. Aparicio Arroyo
  3. I. Biswas
  4. O. Biquard
  5. S. Bradlow
  6. B. Collier
  7. G. Daskalopoulos
  8. E. Franco
  9. M. García-Fernández
  10. W. Goldman
  11. P.B. Gothen
  12. J. Heinloth
  13. D. Hernández Ruipérez
  14. J. Hurtubise
  15. M. Logares
  16. V. Mercat
  17. I. Mundet i Riera
  18. V. Muñoz
  19. P.E. Newstead
  20. A. Oliveira
  21. M. del Olmo
  22. A. Peón
  23. F. Pioli
  24. V.P. Pingali
  25. S. Ramanan
  26. D.A. Salamon
  27. M. Santander
  28. A. H. W. Schmitt
  29. C. Tejero Prieto
  30. D. Toledo
  31. S. Trautwein
  32. R. Wentworth
  33. G. Wilkin
  34. A. Wienhard