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Mathematics

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Research Frontiers in Homological Algebra and Derived Categories

Studies derived functors, spectral sequences, and categorical structures underlying modern algebraic geometry and representation theory.

Derived Equivalences and Noncommutative Geometry
Stability Conditions on Triangulated Categories
Higher Categorical Structures in Homological Algebra
Derived Intersection Theory Beyond Schemes
Perverse Sheaves and Microlocal Analysis
Categorical Resolutions and Singularity Invariants
Derived Moduli Spaces and Deformation Theory
Homological Mirror Symmetry and Fukaya Categories
Persistent Homology in Applied Topology
Derived Algebraic Geometry over Spectral Schemes

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