Includes bibliographical references.

Symmetries and currents of massless neutrino fields, electromagnetic and graviton fields ; Naturalness and quintessence ; Congruence subgroups of PSL(2, mathbb Z ; Asymptotic SU(2) and SU(3) Wigner functions from the weight diagram ; Physical applications of a five-dimensional metric formulation of Galilean invariance ; Variations on Dedekind's eta ; Examples of Berezin-Toeplitz quantization: Finite sets and unit interval ; A modified Weierstrass representation for CMC-surfaces in multi-dimensional Euclidean spaces ; Boson realizations of semi-simple Lie algebras ; Stretched Littlewood-Richardson and Kostka coefficients ; Group actions on compact hyperbolic manifolds and closed geodesics ; Is there an ultimate symmetry in physics? ; Formal characters and resolution of infinite-dimensional simple _r modules of finite degree ; Fusion rules and the Patera-Sharp generating-function method ; Transient effects in Wigner distribution phase space of a scattering problem ; R. T. Sharp and generating functions in group theory ; Quasi-exact solvability in nonlinear optics ; Coherent states, induced representations, geometric quantization, and their vector coherent state extensions ; Symmetry math video game used to train profound spatial-temporal reasoning abilities equivalent to dynamical knot theory ; Polytope sums and Lie characters ; Subalgebras of Lie algebras. Example of sl(3, mathbb R