Cariñena Marzo, José F.

Research Lines:

•  Geometry of Differential equations and Applications: Lie systems of differential equations and superposition rules,  Applications of Riccati and Abel differential equations, Geometric methods in Control Theory.
• Geometric methods in Classical Mechanics: Symplectic and Poisson structures, Symmetry groups in Classical Mechanics, Integrable and  Superintegrable systems, Supermechanics.
• Geometric methods in Quantum Mechanics: Symplectic approach to Quantum Mechanics, Symmetry groups in  Quantum Mechanics, Integrability in  Quantum Mechanics, Geometric methods of quantization.
• Other applications of Geometry in Physics: Symplectic Optics, Non-Euclidean geometry and Physics, Applications of Lie algebroids in  Physics.