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.
- 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.