  From the perspective of AdS/CFT the Pomeron is identified with a Reggeized
Graviton, while the Odderons correspond to Reggeized anti-symmetric $AdS_5$
Kalb-Ramond tensor-fields. In this paper, we consider the strong coupling
expansion of the dimension of the leading twist operators dual to these Regge
trajectories, $\Delta(j)$, to determine its analytic continuation in $j$ beyond
the diffusion limit. In particular, we compute the strong coupling expansion of
the intercept to order $\lambda^{-3}$, where $\lambda$ is the t'Hooft coupling,
for both the Pomeron, which is $C=+1$ crossing-even, and the "Odderons", which
are the leading $C=-1$ crossing-odd Regge singularities. We discuss the
spectral curves of the class of single-trace operators to which these string
modes couple.
