### Current Focus

- Development for the Cardano Blockchain
- Programming languages
- Haskell
- JavaScript / TypeScript
- Plutus / Plutarch / Helios
- Creation of an on-line course on quantum computation

### Research Interests

My current research interests are:

- 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)