Project Grant 2304207

Award Date 9/1/23
Completion Date 8/31/26
Dollars Obligated $248K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Alafaya, FL 32816, USA
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The grant will fund research to develop new methods and tools utilizing ideas from topological data analysis to study topological entropy of Hamiltonian dynamical systems from the perspective of Floer theory. Specifically, the grantee will analyze topological entropy of compactly supported Hamiltonian diffeomorphisms and certain Reeb flows, building on their recent work introducing barcode entropy as a Floer theoretic counterpart to topological entropy. The research integrates education and training of young scientists and is expected to contribute to higher education and knowledge dissemination in the fields of symplectic geometry, dynamics, and applied areas including image and pattern recognition. The three-year grant period runs from September 1, 2023 to August 31, 2026.

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