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Philip Arathoon

Academic Division: Math & Science
Philip obtained his BA and MMath in mathematics from the University of Cambridge in 2014, his MPhil in 2015 and his PhD in 2020 from the University of Manchester. His research area is in classical mechanics, a field whose study dates back to Newton, with questions concerning planetary dynamics, the 3-body problem, and systems with symmetry. Before joining Babson College, Philip was a Postdoctoral Assistant Professor at the University of Michigan.

Academic Interest / Expertise

Classical mechanics. Geometry.

Publications

Journal Articles

  • Kvalheim, M.D., Arathoon, P. (in press). Linearizability of flows by embeddings.
  • Bravo-Doddoli, A., Arathoon, P., Bloch, A.M. (2025). Integrable sub-Riemannian geodesic flows on the special orthogonal group. Nonlinearity. Vol: 38, Issue: 11, Page: 115007. IOP Publishing. link
  • Arathoon, P., Fontaine, M. (2024). Real Forms of Holomorphic Hamiltonian Systems. Symmetry, Integrability and Geometry: Methods and Applications. SIGMA (Symmetry, Integrability and Geometry: Methods and Application). link
  • Arathoon, P. (2019). Singular Reduction of the 2-Body Problem on the 3-Sphere and the 4-Dimensional Spinning Top. Regular and Chaotic Dynamics. Vol: 24, Issue: 4, Page: 370-391. Pleiades Publishing Ltd. link
  • Arathoon, P. (2019). A bijection between the adjoint and coadjoint orbits of a semidirect product. Differential Geometry and its Applications. Vol: 62, Page: 267-282. Elsevier BV. link

Presentations

  • The 3-body problem and a 3-web of Cayley cubics on the 3-sphere Arathoon, P. Geometry Seminar, University of Missouri (2025)
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