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Topology Geometry

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Topology Geometry

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Research Frontiers in Derived Algebraic Geometry and Higher Stacks

Develops higher categorical foundations for algebraic geometry using derived schemes, infinity categories, and derived algebraic geometry.

Derived Intersection Theory Beyond Classical Schemes
Higher Categorical Structures in Moduli Space Geometry
Chromatic Filtration and Spectral Algebraic Geometry
Stacky Singularities and Resolution via Higher Algebra
Derived Enumerative Geometry and Virtual Fundamental Classes
Infinity-Operads in Geometric Derived Contexts
Animated Rings and Noncommutative Derived Geometry
Higher Topos Theory Applied to Arithmetic Stacks
Stabilization Phenomena in Derived Algebraic K-Theory
Constructibility and Perverse Sheaves on Higher Stacks

All Topology & Geometry PhD categories