Position Marie Sklodowska-Curie fellow at UAB
Research interests Topology
Area Algebra, Geometry and Topology
Rubio, Roberto

Roberto Rubio obtained a Phd in Mathematics at the University of Oxford in 2015 (Generalized geometry of type Bn), supervised by N. Hitchin, and at the Universidad Autónoma de Madrid in 2012 (Higgs bundles and Hermitian symmetric spaces), supervised by Ó. García-Prada (ICMAT). In 2013, he worked as a Retained Lecturer at Jesus College, Oxford University, and since 2014 he is a fellow of the UK Higher Education Academy.

He has held postdoctoral positions at IMPA (2014-2017), supervised by H. Bursztyn, and the Weizmann Institute (2017-2018), supervised by A. Aizenbud and D. Gourevitch.

Since September 2018, he is a Marie Sklodowska-Curie fellow (first Individual, then COFUND Beatriu de Pinós) at UAB, supervised by J. Porti.

Other Research Interests
  • Generalized geometry
  • Gelfand pairs
  • Dirac structures
  • Higgs bundles

1. Non-Kähler geometry and mirror symmetry
(MICINN, PID2019-109339GA-C32)
PI: M. Garcia-Fernandez
3 years, 37.147 €

2. Generalized geometry, Lie groups and Gelfand pairs
(Beatriu de Pinós, MSCA COFUND No 801370)
ER: Roberto Rubio, PI: Joan Porti
3 years, 144.300 €

3. GENERALIZED Generalized geometry: 3-manifolds and applications
(MSCA Individual fellowship No 750885)
ER: Roberto Rubio, PI: Joan Porti
2 years, 170.121 €

Selected publications

1) Holomorphic string algebroids, joint work with M. Garcia-Fernandez and C. Tipler. Trans. Amer. Math. Soc. 373 (10), 2020, 7347-7382.
2) The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics, joint work with C. Tipler. Rev. Mat. Iberoamericana 36 (2020), 485-536.
3) On higher Dirac structures, joint work with H. Bursztyn and N. Martínez Alba. Int. Math. Res. Not. IMRN, Vol. 2019, Issue 5, pp 1503–1542.
4) Higgs bundles, Toledo invariant and the Cayley correspondence, joint work with O. Biquard and Ó. García-Prada. J. Topol., Volume 10 (3), 2017, pp 795–826.
5) Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry, joint with M. Garcia-Fernandez and C. Tipler. Math. Ann., Volume 369 (1–2), 2017, pp 539–595.