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Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Hodge Theory and Period Domains

Investigates Hodge structures on cohomology, period matrices, and their applications to classification of varieties.

Hodge Structures in Non-Commutative Algebraic Geometry
Period Domains and Arithmetic Geometry Intersections
Derived Hodge Theory and Categorical Enhancements
Singularities and Degeneration of Period Domains
Motives and Hodge Theory Beyond Smooth Varieties
Mixed Hodge Structures in Tropical Geometry
Period Maps and Mirror Symmetry Phenomena
Arithmetic Properties of Period Lattices
Hodge-Tate Representations in p-Adic Geometry
Symplectic Singularities and Hodge Diamonds

All Algebraic Geometry PhD categories