Current Pursuits
I am seeking a student to assist in organizing and streamlining the existing state-of-the-art results on Vaught's conjecture. This is a classic problem in model theory which I studied during my master's. The problem also has a computability-theoretic equivalent which I explored during my PhD on computable structure theory.
Though the topic nontrivially intersects with CS, it is more relevant to mathematics (model theory, descriptive set theory, and computable structure theory).
I am hoping to create a funded opportunity for this research (NSERC USRA/UTEA). Contact me only if you are a U of T student and ready to commit full-time during the summer term.
Previous Projects
This is the beautiful work achieved by my student Hassan El-Sheikha. It was refereed and published at the WCCCE '25 conference on Computing Education. Varphi allows users to write Turing machine programs and has integrated debugging tools.