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LEAPS-MPS: Integrable systems and Hamiltonian torus actions in symplectic geometry — NSF Award to Amherst College (MA, $141,272)

Symmetries play an important role in understanding any complex system, and this project will further the understanding of symmetries in a field of mathematics called symplectic geometry. Tie a ball to a string, hold the string up, and give the ball a push. Can you predict how the ball will swing? Though it has now exte

Award titleLEAPS-MPS: Integrable systems and Hamiltonian torus actions in symplectic geometry
Award ID2532949
AwardeeAmherst College
CityAMHERST
StateMA
Amount obligated$141,272
Principal investigatorJoseph Palmer
ProgramOFFICE OF MULTIDISCIPLINARY AC
Start date01/01/2026
AbstractSymmetries play an important role in understanding any complex system, and this project will further the understanding of symmetries in a field of mathematics called symplectic geometry. Tie a ball to a string, hold the string up, and give the ball a push. Can you predict how the ball will swing? Though it has now extended far beyond its roots, symplectic geometry was originally developed to study classical dynamical systems, such as this pendulum. To predict its motion, it is useful to notice t
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