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NTHRYSPhD AssistanceAlgebraic Geometry

Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Abelian Varieties and Principally Polarized Spaces

Studies moduli spaces of abelian varieties with principal polarizations and their arithmetic properties.

Moduli Stratification of Principally Polarized Abelian Varieties
Theta Functions and Hidden Symmetries in Polarization
Arithmetic Torelli Problems in Higher Dimensions
Endomorphism Rings and Polarization Geometry
Supersingular Abelian Varieties Over Finite Fields
Polarization and Stability Conditions in Derived Categories
Intermediate Jacobians and Atypical Polarizations
Galois Actions on Polarized Abelian Variety Isogenies
Tropical Degenerations of Principally Polarized Spaces
Heisenberg Group Actions and Canonical Polarization

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