Welcome, this is my personal website.

Contact information

About me

I am a Colombian researcher and explorer from the capital city Bogotá, mostly into mathematics and computer science. In addition, I enjoy visiting new cities and learning about new cultures, languages, food, and life in general.

Where I live, people believe in Trolls, and I do too! Norway is a a fascinating country full of kind people, breathtaking nature, big fjords, good salmon, Hansa, deer, and other cool things.

As a remark, my full name is Jonathan Steven Prieto Cubides. My first last name is by my father, Rafael A. Prieto B., and the other by my mother, Luzmila Cubides.

Research work

Nowadays, I am a PhD Candidate in computer science at the University of Bergen in the Department of Informatics. My supervisors are Håkon R. Gylterud and Marc Bezem. I share my office with Benjamin Chetioui and Tam Thanh Truong.

The context of my research is within the field of constructive mathematics. I study mathematical constructions within a relatively recent type theory called homotopy type theory. Many type theories have computational meaning, making them practical to use for computing. A type theory can be defined as a formal system and also as a functional programming language. In this view, there is, therefore, no distinction between doing mathematics as proving statements and programming on the computer. As a consequence, one can assess the correctness of the mathematical results produced using this approach, up to the correctness of the proof-checker.

keywords: dependent type theory, homotopy type theory, agda, functional programing, proof-assistant, univalence axiom, univalent mathematics

I have more academic interests, e.g. natural language processing, machine learning algorithms, algorithm design, philosophy of sciences, programming language theory, and software development.

Academic projects

Active projects

Former projects

Other initiatives

Summer Schools/Conferences

Selected talks

Seminar talks

Teaching experience

I have been teaching assistant for the following courses at University of Bergen:

I taught the following courses:

Archived software projects

Some no academic-related open-source projects:

Old notes

More information

Check out my CV.

Jonathan Prieto-Cubides's website