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Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Moduli Spaces of Stable Curves

Investigates the geometry and compactifications of moduli spaces parameterizing families of stable algebraic curves.

Boundary Divisors and Compactification Phenomena in Curve Moduli
Tropical Geometry at the Frontier of Stability Conditions
Derived Categories and Hidden Symmetries of Moduli Stacks
Singularities of Divisors on Spaces of Stable Curves
Hecke Correspondences and Arithmetic Dynamics on Moduli
Wall-Crossing Phenomena in Geometric Invariant Theory
Birational Geometry of Higher Genus Curve Moduli
Tautological Rings and Hidden Algebraic Structures
Stability Conditions and Bridgeland Stability in Curve Families
Intersection Theory on Compactified Universal Curve Spaces

All Algebraic Geometry PhD categories