Faculty

Institution

Unit

Venue

Eugene Lerman

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Eugene Lerman is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

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Experiences

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Education

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Eugene Lerman

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

mathematics geometric topology mathematical sciences symplectic geometry geometry and topology applied mathematics differential geometry topology geometry lie theory algebraic geometry algebraic topology global geometry hamiltonian system hamiltonian theory complex geometry lie group global analysis riemannian geometry nonlinear dynamics category theory system science topological invariants riemannian manifold general systems spectral theory lie algebra computer science systems engineering enumerative geometry moment map contact manifolds vector fields global networks function spaces integral geometry supermanifold algebraic structures complex dynamic systems contact toric manifolds integrable torus actions combinatorial theory theoretical physics logic in computer science cybernetics networked system design real algebraic geometry schubert calculus higher category theory algebraic analysis network theory dynamic networks topological dynamics network models system stability lagrangian method maximal tori symplectic cuts hamiltonian action graph fibrations torus actions invariant functions hamiltonian torus actions convex analysis advanced fiber material fibers tropical geometry convex hulls knot theory computational topology network dynamics algebraic semantics stratified symplectic space hamiltonian dynamics stratified symplectic spaces convexity theorems hybrid dynamical systems

Notable Scholarly Works

Notable Federal Grants

Collaborators

Cartan Calculus for $C^\Infty$-Ringed Spaces. arXiv (Cornell University) (2023)

Lerman, Eugene

tangent sheafalgebraic geometrydifferential geometryglobal analysiscartan calculusgeometric analysisalgebraic topologyvector fields

Differential Forms on C∞-Ringed Spaces. Journal of Geometry and Physics (2023)

Eugene Lerman

geometric topologydifferential formsdifferential geometryglobal analysisoperator theorymathematicsgeometric analysistopological algebrafunction spacesmathematical sciences

Stability and Bifurcations of Symmetric Tops. Pure and Applied Mathematics Quarterly (2023)

Eugene Lerman

symmetric topssymmetry (physics)invariant potentialmathematicsbifurcation theoryrelative equilibrianonlinear dynamicsstabilitysymmetryapplied mathematicsmathematical sciencesdynamical systems

Vector Fields and Flows on Subcartesian Spaces. Symmetry Integrability and Geometry Methods and Applications (2023)

Yael KarshonEugene Lerman

subcartesian spacesgeometric topologydifferential geometryriemannian geometrysingular spacesapplied mathematicslie groupmathematicsglobal analysisglobal geometrysymplectic geometrygeometric analysisfunction spacesvector fieldslie theorygeometry and topologymathematical sciences

Lie 2-Algebras of Vector Fields. Pacific Journal of Mathematics (2020)

Daniel Berwick-EvansEugene Lerman

geometric topologylie 2-algebrasalgebraic geometrylie algebraalgebraalgebraic structurescategory theorylie bracketslie groupmathematicsvector fieldslie theorymathematical sciences

Left-Invariant Vector Fields on a Lie 2-Group. Theory and applications of categories (2019)

Eugene Lerman

left-invariant vector fieldsleft actionlie algebraalgebrarepresentation theorylie grouplie groupslie theory

Networks of Hybrid Open Systems. Journal of Geometry and Physics (2019)

Eugene LermanJames Schmidt

computer sciencesystems engineeringnetwork scienceglobal networksnetwork modelsnetwork topologysystem sciencenetworked system designdistributed systemsopen architecturehybrid open systemssystems modelinggeneral systemscomplex systemsnetwork analysis

Runge-Kutta and Networks. arXiv (Cornell University) (2019)

Lee DeVilleEugene LermanJames Schmidt

scientific computingnumerical integration methodsnumerical algorithmsmathematicsaffine mapnumerical mathematicsnonlinear dynamicsdiscrete dynamicsdifferential equationsrk familyordinary differential equationsdifferential geometrynumerical analysiscomputational mathematicscomplex dynamicsmathematical sciencesdiscrete dynamical systemsnonlinear systemscomplex dynamic systemsgeneral systemssymbolic dynamicsapplied mathematicsdynamical systems

Networks of Open Systems. Journal of Geometry and Physics (2018)

Eugene Lerman

computer sciencesystems engineeringnetwork scienceglobal networksnetwork modelsopen systemsnetwork theorynetworked system designcomplex systemsnetwork analysis

A Category of Hybrid Systems. arXiv (Cornell University) (2016)

Eugene Lerman

computer sciencesystems engineeringlogic in computer sciencespecial typessystem sciencecyberneticscategory theoryformal modelingsystems modelinggeneral systemshybrid intelligent systemscomputer engineeringsystem softwareconsequently morphismsformal verificationsystem specificationhybrid systemsformal methods

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Eugene Lerman

Professor

University of Illinois Urbana-Champaign

Affiliations

College of Liberal Arts & Sciences

Department of Mathematics

Eugene Lerman is currently serving as a College Of Liberal Arts & Sciences Professor at University of Illinois Urbana-Champaign.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Eugene Lerman

University of Illinois Urbana-Champaign

Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Cartan Calculus for $C^\Infty$-Ringed Spaces. arXiv (Cornell University) (2023)

Lerman, Eugene

tangent sheafalgebraic geometrydifferential geometryglobal analysiscartan calculusgeometric analysisalgebraic topologyvector fields

Differential Forms on C∞-Ringed Spaces. Journal of Geometry and Physics (2023)

Eugene Lerman

geometric topologydifferential formsdifferential geometryglobal analysisoperator theorymathematicsgeometric analysistopological algebrafunction spacesmathematical sciences

Stability and Bifurcations of Symmetric Tops. Pure and Applied Mathematics Quarterly (2023)

Eugene Lerman

symmetric topssymmetry (physics)invariant potentialmathematicsbifurcation theoryrelative equilibrianonlinear dynamicsstabilitysymmetryapplied mathematicsmathematical sciencesdynamical systems

Vector Fields and Flows on Subcartesian Spaces. Symmetry Integrability and Geometry Methods and Applications (2023)

Yael KarshonEugene Lerman

Lie 2-Algebras of Vector Fields. Pacific Journal of Mathematics (2020)

Daniel Berwick-EvansEugene Lerman

geometric topologylie 2-algebrasalgebraic geometrylie algebraalgebraalgebraic structurescategory theorylie bracketslie groupmathematicsvector fieldslie theorymathematical sciences

Left-Invariant Vector Fields on a Lie 2-Group. Theory and applications of categories (2019)

Eugene Lerman

left-invariant vector fieldsleft actionlie algebraalgebrarepresentation theorylie grouplie groupslie theory

Networks of Hybrid Open Systems. Journal of Geometry and Physics (2019)

Eugene LermanJames Schmidt

Runge-Kutta and Networks. arXiv (Cornell University) (2019)

Lee DeVilleEugene LermanJames Schmidt

Networks of Open Systems. Journal of Geometry and Physics (2018)

Eugene Lerman

computer sciencesystems engineeringnetwork scienceglobal networksnetwork modelsopen systemsnetwork theorynetworked system designcomplex systemsnetwork analysis

A Category of Hybrid Systems. arXiv (Cornell University) (2016)

Eugene Lerman

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