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Algebraic Geometry

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Algebraic Geometry

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Research Frontiers in Birational Geometry and Minimal Models

Explores birational transformations, divisorial contractions, and the minimal model program for higher-dimensional varieties.

Singularities and Their Resolutions in Birational Landscapes
Minimal Model Program: Categorical and Derived Perspectives
K-Stability and Fano Varieties Beyond Classical Bounds
Birational Rigidity in Higher-Dimensional Algebraic Varieties
Moduli Spaces of Log-Canonical Models and Stability
Flips, Flops, and Extremal Contractions in Dimension Four
Tropical Geometry and Skeleta of Birational Transformations
Abundance Conjecture: Effective Divisors and Positivity
Kawamata-Viehweg Vanishing and Its Pathological Cases
Mirror Symmetry of Minimal Models and Extremal Metrics

All Algebraic Geometry PhD categories