Jon Sterling

I am a doctoral student of Robert Harper at Carnegie Mellon University studying type theory, programming languages and semantics. Previously I received a B.A. in Linguistics from U.C. Berkeley. My other interests include category theory, topos theory, formalization of mathematics, Assyriology, and ancient languages and literature.

Research

I study the syntax and semantics of type theory; currently, I am interested in models and implementation of higher dimensional and modal dependent type theory. My colleagues and I are developing the RedPRL and redtt proof assistants for cartesian cubical type theory. Today, I am studying definitional equivalence, normal forms and type checking for cartesian cubical type theory and modal dependent type theory.

My collaborators include Carlo Angiuli, Lars Birkedal, Evan Cavallo, David Thrane Christiansen, Ranald Clouston, Favonia, Daniel Gratzer, Robert Harper, Darin Morrison, Anders Mörtberg, and Bas Spitters.

Teaching

• Fall 2018: TA for Constructive Logic (15-317) with Karl Crary.
• Fall 2017: TA for Constructive Logic (15-317) with Frank Pfenning.

Lecture Notes, Tutorials

• Substructural Deduction. Fall 2017. Guest lecture for Constructive Logic (15-317).
• Implementing Inference Rules in Standard ML . Fall 2017.
• Grothendieck Toposes. Spring 2017. Guest lecture for Categorical Logic (80-514-814).

Other Activities