Current Focus
- Development for the Cardano Blockchain
- Programming languages
- Haskell
- JavaScript / TypeScript
- Plutus / Plutarch / Aiken
- Creation of an on-line course on quantum computation
Research Interests
My current research interests are:
- Blockchain Technology in Data Science
- Geometric methods in Finance
- Geometric methods in Quantum Computation
In a "previous life" I worked on geometric methods in Celestial Mechanics and more broadly in Hamiltonian Mechanics. A common thread that guided that research was the geometry of fiber bundles and connections, as well as the consequences of symmetry. I applied these ideas to topics as diverse as vortex dynamics and 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 had been interested in the use of holonomy for implementing quantum gates (holonomic quantum computation). A related interest was the topic of Quantum Optimization Algorithms, in particular how various optimization algorithms can be translated
into an Ising-type model and implemented using quantum annealing.
Other Interests
- Type Theory and Category Theory
- Wolfram Language
- Computational Thinking in Math and Science Education
- Mathematics in Music Theory
Teaching
Recent courses that I taught at Instituto Tecnológico Autónomo de México (ITAM) (2020-2021):
- Quantum Computation: physics and mathematics fundamentals
- Electromagnetic Theory
- Electromagnetic Radiation and Antennae
- Analytic and Vector Geometry
- Mathematics of Quantum Computation
- Dynamical Systems II
- Elements of Physics (Lab)