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Category theory based semantics for homotopy type theory and for (fragments of) first-order logic.
My research topics are: (hyper)doctrines / fibrations; quantifier completions of doctrines / simple (co)product completions of fibrations; categorical semantics for (fragments of) first order logic; dialectica construction; propositional type theory; categorical semantics for dependent type theories.
Supervised by Nicola Gambino, Federico Olimpieri and Michael Rathjen.