Contact Information
37 CAB, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Areas
Research Interests
Hamiltonian systems with symmetry, singular reduction, contact toric manifolds, orbifolds and stacks, Lie 2-groups and Lie 2-algebras, coupled cell networks and dynamics on networks in general, hybrid dynamical systems, differential spaces and more general C∞-ringed spaces.
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Lerman, E. (Accepted/In press). Cartan calculus for C ∞-ringed spaces. Journal of Topology and Analysis. https://doi.org/10.1142/S1793525324500468
Lerman, E. (2024). Differential forms on C∞-ringed spaces. Journal of Geometry and Physics, 196, Article 105062. https://doi.org/10.1016/j.geomphys.2023.105062
Karshon, Y., & Lerman, E. (2023). Vector Fields and Flows on Subcartesian Spaces. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 19, Article 093. https://doi.org/10.3842/SIGMA.2023.093
Lerman, E. (2023). Stability and bifurcations of symmetric tops. Pure and Applied Mathematics Quarterly, 19(4), 2037-2065. https://doi.org/10.4310/PAMQ.2023.v19.n4.a12
Berwick-Evans, D., & Lerman, E. (2020). Lie 2-Algebras Of Vector Fields. Pacific Journal of Mathematics, 309(1), 1-34. https://doi.org/10.2140/pjm.2020.309.1