I am a interested in Type theory, Logic, Category theory, Proof Assistants and Programming languages.
Talks
Cumulative universe hierarchies and their equivalence in dependent type theory
TYPES (2026)
Experience
Research Internship, University of Cambridge (5 months)
- Under the supervision of Jon Sterling
- Foundational design and implementation of a new proof assistant based on homotopy type theory (“Project Pterodactyl”). Study and implementation of a new presentation for cumulative universes, and investigation of its semantics in toposes.
Research Internsip, Chalmers University of Technology (2 months)
- Under the supervision of Thierry Coquand.
- Syntax and semantics of dependent type theory: proving normalisation semantically with the Artin glueing technique, proving the equivalence of Tarski and Russell presentations for cumulative universes. More generally, I also related the PTS and GAT presentations for type theory in general, extending initiality results in the way of Streicher’s book.
Education
- Master’s degree in Computer Science (MPRI), 2025-2027
- Bachelor in both Mathematics and Computer Science, 2022-2025