Temporary page for Alejandro Cabrera (under construction)

Postdoctoral fellow at University of Toronto

University: Math Department – University of Toronto

40 St. George Street
Toronto, Ontario, Canada M5S 2E4

Office: BA 6107

Phone/fax: 416 946 5440

Email address: acabrera AT math.toronto.edu

Research: My research focuses on areas lying in the intersection between differential geometry and mathematical

physics. My topics of research include (super) symplectic and Poisson geometry, Lie algebroids and Lie groupoids,

as well as their many applications to (quantum) field theories, integrable systems and geometrical mechanics.

Papers:

Multiplicative forms at the infinitesimal level, with H. Bursztyn, submitted (arxiv)

Linear and multiplicative 2-Forms, with H. Bursztyn and C. Ortiz, L. To appear in Lett. Math. Phys. (arxiv)

Poisson-Lie T-Duality and non trivial monodromies, with H. Montani, M. Zuccalli, J. Geom. Phys. 59 (2009) 576-599(arxiv).

Some geometric features of Berry’s phase, preprint (arxiv - 2007).

Base-controlled mechanical systems and geometric phases, J. Geom.Phys. 58 (2008) 334-367 (arxiv).

A Generalized Montgomery Phase Formula for Rotating Self Deforming Bodies, J.Geom.Phys. 57 (2007), 1405-1420 (arxiv).

Hamiltonian Loop group actions and T-duality for group manifolds, with H. Montani J. Geom. Phys. 56 (2006), 1116-1143 (arxiv).