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Category Theory

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Category Theory

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Research Frontiers in Higher Category Theory and Infinity Categories

Investigation of weak n-categories and infinity-categories as generalizations of traditional category theory with applications to homotopy theory and derived algebraic geometry.

Condensed Mathematics and Pyknotic Structures in Higher Algebra

Chromatic Homotopy Theory Beyond the Telescope Conjecture

Synthetic Infinity Categories and Computational Models

Derived Algebraic Geometry at the Categorical Frontier

Stratified Higher Categories and Factorization Systems

Operadic Structures in Infinity Groupoids and Deformation Theory

Categorical Semantics of Dependent Type Theory

Stability and t-Structures in Higher Categorical Contexts

Topological Quantum Field Theory via Functorial Cobordisms

Non-Commutative Geometry Through Higher Categorical Lenses

All Category Theory PhD categories