ASCEND
BY NTHRYS

NTHRYSPhD AssistancePure Mathematics

Pure Mathematics

Field
Category

Pure Mathematics

Select a category to explore research frontiers

Loading categories...

Research Frontiers in Symplectic Geometry and Hamiltonian Dynamics

Study of symplectic manifolds and their dynamical systems using techniques from geometric topology and analysis.

Lagrangian Skeleta and Mirror Symmetry in Higher Dimensions
Floer Homology Beyond Monotonicity and Exactness
Hamiltonian Diffeomorphisms and Quantitative Rigidity Phenomena
Symplectic Capacities and Optimal Packing Problems
Non-Displaceability and Categorical Obstructions in Symplectic Topology
Persistence Homology in Hamiltonian Systems and Chaos
Wrapped Fukaya Categories and Microlocal Geometry
Symplectic Embeddings and the Inverse Function Conjecture
Holomorphic Curves as Symplectic Invariants and Boundaries
Quantum Cohomology and Enumerative Geometry in Symplectic Manifolds

All Pure Mathematics PhD categories