Antonio Hernández-Garduño

Professor of Physics and Mathematics


My Research Interests

The common thread of most of my recent research is the geometry of fiber bundles and connections, as well as the consequences of symmetry in various hamiltonian systems. I have applied these ideas to topics as diverse as vortex dynamics and celestial mechanics. About the latter, of particular current interest is the symmetry associated to the N-body problem in non-euclidean spaces. An important aspect of the dynamics of Hamiltonian systems on fiber bundles with a principal connection is that of holonomy. I am interested in the use of holonomy for implementing quantum gates in quantum computers.

Other Interests


Recent courses that I have taught at Instituto Tecnológico Autónomo de México (ITAM):

Future courses (ITAM, summer of 2021):