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Category Theory

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Category Theory

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Research Frontiers in Derived Categories and Homological Algebra

Study of derived functors, spectral sequences, and derived equivalences in the context of modern homological algebra and representation theory.

Stability Conditions and Non-Commutative Geometry
Derived Algebraic Geometry Beyond the Classical Setting
Categorical Resolutions and Singularity Theory
Higher Categorical Structures in Homological Algebra
Derived Equivalences and Representation Type Classification
Triangulated Categories in Symplectic Topology
D-Modules and Derived Microlocal Analysis
Categorical Invariants of Singular Spaces
Infinity Categories and Homological Functors
Derived Intersection Theory and Enumerative Geometry

All Category Theory PhD categories