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Eugene M Lerman

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Eugene M Lerman

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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.

Office Address

Department of Mathematics
336 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801 

Office Phone

(217) 244-9510

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  • Cartan calculus for C∞ -ringed spaces

    Lerman, E., Jun 2026, In: Journal of Topology and Analysis. 18, 3, p. 775-824 50 p.

    Research output: Contribution to journal › Article › peer-review

  • Differential forms on C∞-ringed spaces

    Lerman, E., Feb 2024, In: Journal of Geometry and Physics. 196, 105062.

    Research output: Contribution to journal › Article › peer-review

  • Stability and bifurcations of symmetric tops

    Lerman, E., 2023, In: Pure and Applied Mathematics Quarterly. 19, 4, p. 2037-2065 29 p.

    Research output: Contribution to journal › Article › peer-review

  • Vector Fields and Flows on Subcartesian Spaces

    Karshon, Y. & Lerman, E., 2023, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 19, 093.

    Research output: Contribution to journal › Article › peer-review

    Open Access

  • Lie 2-Algebras Of Vector Fields

    Berwick-Evans, D. & Lerman, E., 2020, In: Pacific Journal of Mathematics. 309, 1, p. 1-34 34 p.

    Research output: Contribution to journal › Article › peer-review

    Open Access
View all 49 Research outputs