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Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Derived Categories and Homological Mirror Symmetry

Studies equivalences between derived categories of coherent sheaves and Fukaya categories through homological mirror symmetry frameworks.

Stability Conditions and Bridgeland Invariants in Derived Stacks
Wrapped Fukaya Categories and Non-Commutative Geometry
Mirror Symmetry Beyond Calabi-Yau: Fano and General Type Varieties
Categorical Resolutions and Derived Autoequivalences
Microlocal Sheaves and Symplectic Topology
t-Structures and Stability on Higher Dimensional Varieties
Homological Algebra of Singular Symplectic Varieties
Perverse Sheaves and Categorical Intersection Cohomology
Tropical Geometry and Non-Archimedean Mirror Constructions
Derived Moduli Spaces and Categorical Enumerative Invariants

All Algebraic Geometry PhD categories