Contact Information
302 Altgeld Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Hamiltonian dynamics and symplectic topology.
External Links
Recent Publications
Kerman, E., & Liang, Y. (Accepted/In press). On symplectic capacities and their blind spots. Journal of Topology and Analysis. https://doi.org/10.1142/S1793525323500127
Ouellette, A., Holder, G., & Kerman, E. (2023). Topological data analysis reveals differences between simulated galaxies and dark matter haloes. Monthly Notices of the Royal Astronomical Society, 523(4), 5738-5747. Article stad1765. https://doi.org/10.1093/mnras/stad1765
Kerman, E., & Liang, Y. (2021). Higher index symplectic capacities do not satisfy the symplectic Brunn-Minkowski inequality. Israel Journal of Mathematics, 245(1), 27-38. https://doi.org/10.1007/s11856-021-2172-7
Hind, R. K., & Kerman, E. (2020). J-holomorphic cylinders between ellipsoids in dimension four. Journal of Symplectic Geometry, 18(5), 1221-1245. https://doi.org/10.4310/jsg.2020.v18.n5.a2
Kerman, E. (2017). Rigid constellations of closed Reeb orbits. Compositio Mathematica, 153(11), 2394-2444. https://doi.org/10.1112/S0010437X17007448