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This article represents the author's PhD thesis which is focused on modulistabilisation in type IIB Calabi-Yau flux compactifications and itsapplications to cosmology. I derive the topological conditions on an arbitraryCalabi-Yau to give rise to the very promising LARGE Volume Scenario. After asystematic study of the behaviour of string loop corrections for general typeIIB compactifications, I show how they play a crucial role to achieve fullmoduli stabilisation. I then apply these results to cosmology showing how, inthe case of K3-fibrations, string loop corrections give rise naturally to aninflationary model which predicts observable gravity waves. Finally I computethe decompactification temperature for the LARGE Volume Scenario due to thermaleffects and work out a cosmological constraint on the value of the internalvolume.

String Loop Moduli Stabilisation and Cosmology in IIB Flux Compactifications