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Eugene Lerman

Profile picture for Eugene Lerman

Contact Information

Department of Mathematics
37 CAB, MC-382
1409 W. Green Street
Urbana, IL 61801

Research Areas

Professor

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

Recent Publications

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

Lerman, E., & Schmidt, J. (2020). Networks of hybrid open systems. Journal of Geometry and Physics, 149, Article 103582. https://doi.org/10.1016/j.geomphys.2019.103582

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