The following approximately 1.5 hour lecture has a part directed to a general audience, followed by an overview for mathematicians and physicists of some classical and recent results concerning aspects of integrability, quantization and randomness in symplectic geometry.
Integrability, Quantization and Randomness in Symplectic Geometry (Dedicated to Professor Pedro Luis García Pérez on his 85th Birthday), Complutense University of Madrid, Spain 2023
The following are approximately 1 hour long lectures on specialized topics within symplectic geometry and integrable systems. After these you can find two shorter talks for a general mathematical audience.
Symplectic Dynamics of Integrable Hamiltonian Systems, Institute for Advanced Study, Princeton USA, 2011
Intermediate Symplectic Capacities, Institute for Advanced Study, Princeton USA, 2013
Integrable Systems and toric geometry on symplectic and Poisson manifolds, Poisson 2014 Conference at Urbana-Champaign USA, 2014
Dinámica Clásica y Cuántica (En Español/In Spanish), Real Academia de Ciencias Exactas, Físicas y Naturales, Spain, 2014
The following are approximately 20 minute long lectures for a general audience of mathematicians.
Symplectic and Spectral Theory of Integrable Systems, Institute for Advanced Study, Princeton USA, 2011
Atiyah’s Connectivity, Morse Theory and Solution Sets, Institute for Advanced Study, Princeton USA, 2011
I will not define time, space, place and motion, as being well known to all.
I. Newton
