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Topology Geometry

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Topology Geometry

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Research Frontiers in Symplectic Geometry and Hamiltonian Dynamics

Investigates symplectic manifolds, Lagrangian submanifolds, and integrable systems using tools from microlocal analysis and Floer theory.

Floer Homology in Non-Compact Symplectic Manifolds
Quantum Chaos and Hamiltonian Ergodicity
Lagrangian Skeleta and Mirror Symmetry
Caustics and Singularities in Hamiltonian Systems
Contact Geometry and Reeb Dynamics
Persistence of Periodic Orbits in Perturbations
Symplectic Capacities and Embedding Problems
Hamiltonian Diffeomorphisms and Spectral Invariants
Holomorphic Curves in Moduli Space Theory
Microlocal Analysis and Symplectic Tomography

All Topology & Geometry PhD categories