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.