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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in Homological Algebra and Derived Categories

Development of derived functors, spectral sequences, and derived category theory with applications to ring theory.

Derived Autoequivalences and Categorical Rigidity
Homological Stability in Modular Representation Theory
Noncommutative Resolutions and Singularity Categories
Derived Invariants in Arithmetic Geometry
Perverse Sheaves and Intersection Cohomology Frontiers
Stability Conditions on Triangulated Categories
Koszul Duality Beyond Polynomial Algebras
Hochschild Cohomology and Deformation Quantization
Tilting Theory and t-Structures in Derived Equivalence
Homological Mirror Symmetry in Categorical Forms

All Algebra & Number Theory PhD categories