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Pure Mathematics

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Pure Mathematics

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Research Frontiers in Homotopy Theory and Higher Category Theory

Exploration of categorical structures and topological properties using infinity categories and abstract homotopical algebra.

Infinity Categories and Derived Algebraic Geometry
Chromatic Homotopy and Stable Equivariant Phenomena
Higher Categorical Algebra Beyond Classical Homology
Condensed Mathematics and Pyknotic Foundations
Synthetic Homotopy Theory and Computational Foundations
Factorization Homology and Topological Field Theories
Lurie's Ambidexterity and Categorical Duality
Higher Topos Theory and Shapely Spaces
Motivic Homotopy and Arithmetic Categorical Structures
Stratified Homotopy and Exit Path Categories

All Pure Mathematics PhD categories