The formulation of lattice field theories on curved Riemann manifolds is a difficult problem. By adopting methods from flat space lattice gauge theory, classical finite elements, and Regge Calculus, we have constructed a simplicial QFE Lagrangian for scalars and fermions. A natural first test of this method is the study of the Ising c = 1/2 CFT in two dimensions. Numerical lattice results from S2 at the Wilson-Fischer fixed point of the $\phi^4$ theory and for the free Dirac fermion will be presented and compared to analytic continuum results. The QFE method can be readily extended to radial quantization, and current results for the critical behavior of the three dimensional φ4 theory on R x S2 will be discussed.