  String theory is arguably the best candidate for a theory of quantum gravity
and unified interactions. Reconciling Einstein's theory of General Relativity
with Quantum Mechanics. The theory however is best understood on Minkowski and
Anti-de Sitter space-times, and not on exponentially expanding space-times with
positive cosmological constant, like our own universe. There is still no
satisfactory formulation of String Theory on these so called asymptotically de
Sitter space times. In this thesis I will discuss certain avenues of progress
towards a String Theory formulation of de Sitter space-times. Specifically, how
understanding of the analytic continuations of Liouville Theory and how to
gauge-fix it in the Timelike regime will aid in the understanding of the
proposed FRW-CFT duality of de Sitter space. It is also discussed how
non-trivial topology effects proposed Chern-Simons Matter duals of Vasiliev
Higher Spin gravity theories which are important in the dS-CFT description of
de Sitter Space.
