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Topology Geometry

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Research Frontiers in Khovanov Homology and Quantum Invariants

Develops categorical invariants for knots and links through Khovanov homology and explores connections to quantum field theory and representation theory.

Categorical Lifts of Quantum Link Invariants

Khovanov Homology and Four-Manifold Topology

Knot Floer Homology Beyond Classical Invariants

Categorification of Quantum Group Representations

Spectral Sequences in Quantum Homology Theories

Odd Khovanov Homology and Knot Concordance

Homological Structures in Topological Quantum Field Theory

Quantum Invariants and Three-Manifold Fibrations

Combinatorial Models for Categorified Invariants

Khovanov Homology Stability Under Tangle Composition

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