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NTHRYSPhD AssistanceAlgebraic Geometry

Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Intersection Theory and Chow Rings

Develops computational and theoretical methods for understanding intersection products and Chow ring structures on varieties.

Motivic Measures and Virtual Fundamental Classes
Derived Categories in Intersection Computations
Chow Rings of Singular Varieties and Resolutions
Quantum Cohomology Versus Classical Intersection Theory
Equivariant Intersection Theory on Moduli Spaces
Enumerative Geometry Beyond Smooth Varieties
Intersection Numbers on Stacks and Orbifolds
Toric Intersection Theory and Polytope Combinatorics
Positivity Phenomena in Chow Rings
Intersection Theory for Non-Reduced Schemes

All Algebraic Geometry PhD categories