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Pure Mathematics

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Pure Mathematics

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Research Frontiers in Derived Algebraic Geometry

Extension of algebraic geometry using derived functors and homological algebra to study singularities and intersection theory.

Derived Moduli Spaces and Obstruction Theory
Spectral Sequences in Higher Categorical Algebra
Chromatic Homotopy and Derived Stacks
Infinity-Categories Beyond Model Structures
Derived Intersection Theory on Non-Reduced Spaces
Topological Field Theory via Derived Enhancements
Symplectic Derived Geometry and Mirror Phenomena
Perverse Sheaves on Derived Stack Resolutions
Noncommutative Derived Geometry and Stability
Derived Invariants of Singularities and Resolution

All Pure Mathematics PhD categories