My research interests lie primarily within Riemannian geometry. In particular, my projects often involve homogeneous spaces and have occasionally intersected with dynamical systems, representation theory, Lie theory, and metric geometry.


Publications

Periodic magnetic geodesics on Heisenberg manifolds. with Gornet R, Mast MB (2021)
Ann Global Anal Geom 60:647–685. 10.1007/s10455-021-09787-0 - arXiv
Morse theory for the uniform energy. with Adelstein IM (2017)
J Geom 108:1193–1205. 10.1007/s00022-017-0404-0 - arXiv
Topological entropy of left-invariant magnetic flows on 2-step nilmanifolds. (2016)
Nonlinearity 30:1 10.1088/0951-7715/30/1/1 - arXiv


Jonathan Epstein