Matteo Spadetto

Profile

Personal webpage with talks and publications here.

Research interests

Category theory based semantics for homotopy type theory and for (fragments of) first-order logic.

Research topics:

• [categorical logic] (hyper)doctrines; quantifier completions of doctrines; Grothendieck fibrations; simple (co)product completions of Grothendieck fibrations; categorical semantics for (fragments of many-sorted) first-order logic; dialectica interpretation; dialectica construction à la de Paiva; disjunction and existence properties;
• [homotopy type theory] dependent type theories; propositional type theories; categories with attributes; comprehension categories; categorical semantics for dependent type theories.

Supervised by Nicola Gambino, Federico Olimpieri and Michael Rathjen.