Juan Morales Ruiz

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Juan José Morales Ruiz , also written Juan José Morales-Ruiz , (born December 17, 1953 ) is a Spanish mathematician.

Morales Ruiz studied physics at the University of Barcelona with a degree in 1979 and received his doctorate in 1990 from the University of Barcelona with Carles Simó (dissertation écnicas algebraicas para el estudio de la integrabilidad de sistemas hamiltonianos ). He was a professor at the Polytechnic University of Catalonia (from 1991) and is a professor at the Polytechnic University of Madrid.

He deals with Galois theory of differential equations. With Jean-Pierre Ramis he gave a Galois theoretical criterion of the integrability of Hamiltonian systems (in particular, they are integrable if the connected component of the one of the differential Galois group is commutative).

Fonts (selection)

  • with J.-P. Ramis: Galoisian obstructions to integrability of Hamiltonian systems, Methods Appl. Anal. 8, Volume 8, 2001, pp. 33-96, 97-112
  • with J.-P. Ramis, Carles Simó: Integrability of Hamiltonian systems and differential Galois groups of higher variational equations, Ann. Sci. Ecole Normale Superieure, 40, 2007, 845-884, numdam
  • Differential Galois theory and non integrability of Hamiltonian systems, Birkhäuser 1999 (received the Ferran-Sunyer-i-Balaguer Prize in 1998 )

Web links

Individual evidence

  1. ↑ Juan Morales Ruiz in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Morales Ruiz, Juan
ALTERNATIVE NAMES Morales Ruiz, Juan José (full name); José Morales-Ruiz, Juan (full name)
BRIEF DESCRIPTION Spanish mathematician
DATE OF BIRTH 17th December 1953