Eugene M Lerman

Eugene M Lerman is a Professor in the Department of Mathematics at the University of Illinois Urbana-Champaign. His office is located at 336 Illini Hall, MC-382, 1409 W. Green Street, Urbana, IL 61801, and his contact number is (217) 244-9510.

Dr. Lerman's research spans several interconnected areas in mathematics:

• 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
• Hybrid dynamical systems
• Differential spaces and $$C^{\infty}$$-ringed spaces

His recent work demonstrates a strong focus on geometric structures, particularly in the realm of $$C^{\infty}$$-ringed spaces and their applications to dynamical systems. Lerman's research shows consistent development in understanding the interplay between algebraic structures and geometric properties, with particular attention to singular spaces and their differential calculus.

Lerman has received recognition in his field as evidenced by his fingerprint profile showing strong connections to symplectic geometry (100%), moment maps (60%), symplectic manifolds (41%), contact toric manifolds (39%), ringed spaces (39%), relative equilibria (38%), torus actions (38%), and Lie 2-algebras (33%).

His scholarly output includes 49 research publications comprising 44 articles, 3 conference contributions, and 2 books, demonstrating sustained productivity throughout his career.