I did my PhD thesis under the direction of Vicente Navarro-Aznar, on fundamental groups of compact Kähler manifolds. I remain interested in the Albanese map, which I used to classify complex projective and Kähler manifolds with holomorphic vector fields, with M. Nicolau and M. Manjarin. After my stay as Instructor at the U. of Utah in 1997/8, this work extended from Kähler and complex algebraic to symplectic manifolds, where I studied Lefschetz fibrations.
In parallel, I collaborate with the Superconductor group at ICMAB-CSIC on the inverse Biot-Savart problem in ceramic HTS. Since 2011, I have worked with Jaume Haro in Cosmology, specifically in geometric and dynamic problems posed by cosmogonic models. Since 2018 I collaborate with the Clothilde project led by C. Torras at IRI (CSIC-UPC), on the modelling of cloth, its recognition from images and its control by a robot.
- The Albanese mapping.
- Computational topology.
- Cosmogony.
- Inverse Biot-Savart problem.
- Homotopy continuation methods.
-
Jaume Amorós, Marc Burger, Kevin Corlette, Dieter Kotschick, Domingo Toledo.
Fundamental Groups of Compact Kähler Manifolds.
Mathematical Surveys and Monographs, vol. 44. American Mathematical Society 1996. -
J. Amorós, M. Manjarín, M. Nicolau.
Deformations of Kähler manifolds with non vanishing holomorphic vector fields.
Journal of the European Mathematical Society 14 (2012) 997-1040. -
J. de Haro, J. Amorós.
Non-singular models of universes in teleparallel theories.
Physical Review Letters 110, 071104 (2013). -
J. Amorós, A. Duran, M. Carrera, J. López, X. Granados.
Singular spectrum analysis filtering and Fourier inversion: an efficient and fast way to improve resolution and quality of current density maps with low-cost Hall scanning systems.
Measurement Science and Technology 30 (2019) 015010.