Steve Awodey

Steve Awodey is a Professor of Philosophy and Mathematics at Carnegie Mellon University, affiliated with the Dietrich College of Humanities and Social Sciences and the Department of Philosophy. His research bridges Category Theory, Homotopy Type Theory, and Algebraic Set Theory, with significant contributions to constructive mathematics and the philosophy of type theory.

• PhD in Mathematics, University of Chicago (1997), dissertation: Logic in Topoi: Functorial Semantics for Higher-Order Logic

Awodey's work focuses on the intersection of categorical logic, homotopy theory, and constructive mathematics. He co-founded the Univalent Foundations Program at the Institute for Advanced Study and leads the Hoskinson Center for Formal Mathematics at CMU. His recent publications explore algebraic models of type theory, cubical set models, and higher categorical structures.

His research output spans formal verification, proof-theoretic semantics, and topos-theoretic interpretations of modal logic. The 15 most recent articles emphasize Homotopy Type Theory (HoTT), polynomial functors, and applications of algebraic geometry to intuitionistic logic. Trends include univalent foundations, higher inductive types, and model category-theoretic approaches.

Scientific Awards:

• The Dean's Chair in Logic, Carnegie Mellon University
• Participant Support Grant for Homotopy Type Theory Conferences
• NSF Grant for Homotopy Type Theory Research

Advising and Grants: Awodey has advised numerous PhD students across philosophy, mathematics, and computer science on topics like Martin-Löf complexes, polynomial pseudomonads, and synthetic homotopy theory. He has secured multiple NSF grants for HoTT research and conference support, with affiliations to the Institute for Advanced Study and nLab collaborative projects.

Labs and Teams: He leads the Hoskinson Center for Formal Mathematics and collaborates with the Laboratory for Symbolic and Educational Computing at CMU. His work engages international research groups in categorical logic and higher category theory.