Peter J. Olver is a mathematician at the University of Minnesota in Minneapolis. His interests include the application of the Lie theory to dynamical systems, Hamiltonian systems, variational calculus, invariant theory…
The following two books have much overlap with some topics in lab:
Applications of Lie groups to differential equations, Springer (few editions);
Equivalence, invariants, and symmetry, Cambridge Univ. Press 1995.