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Pure Mathematics

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Pure Mathematics

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Research Frontiers in Algebraic Geometry and Moduli Spaces

Investigation of geometric properties of algebraic varieties and the construction of parameter spaces classifying geometric objects up to equivalence.

Stability Conditions and Derived Categories in Birational Geometry

Moduli of Higher-Dimensional Singularities and Resolution Invariants

Tropical Geometry and Non-Archimedean Skeleta of Moduli Spaces

Bridgeland Stability and Wall-Crossing Phenomena in Derived Stacks

Enumerative Invariants Beyond Classical Intersection Theory

Moduli Stacks and Automorphic Forms via Geometric Langlands

Logarithmic Geometry and Compactifications of Moduli Parameters

Derived Algebraic Geometry and Homotopical Moduli Problems

Motivic Measures on Moduli Spaces and Arc Space Geometry

Singularities of Moduli Spaces and Categorical Resolutions

All Pure Mathematics PhD categories