Carlos López González

Research

Methods that become systems.

Themes from graduate work, faculty practice, and engineering: geometric methods, math cognition with AI, and applied ML for operational decisions.

TDA & geometry

Topological data analysis and geometric computation — translating structure in data into tools. See the public TDA repo.

Complex dynamics

Fractals and visualization of Mandelbrot/Julia sets as interactive computation, not only images.

Math cognition + AI

How learners reason at the math–art boundary; integrating AI into mathematics teaching and curriculum design.

Operational decision systems

Applying machine learning and probabilistic modeling to business operations — including work in casino-industry analytics — with emphasis on validation, calibration, and deployable tooling rather than one-off notebooks.

Training & teaching

MA in Mathematics, San Francisco State University. MIT Professional Education: Building Data Science Solutions (AI and Machine Learning). Lecturer Faculty / mathematics instructor at SFSU (2020–2023), with work on AI in the math curriculum.

SFSU profile CV (PDF) Writing & talks