We review applications of string theory to cosmology, from primordial times to the present-
day accelerated expansion. Starting with a brief overview of cosmology and string …

The Swampland program aims to distinguish effective theories which can be completed into
quantum gravity in the ultraviolet from those which cannot. This article forms an introduction …

These lecture notes provide a pedagogical introduction, with exercises, to the techniques
used in attempts to construct vacua with stabilized moduli in string theory. The reader is only …

We present a brief overview of attempts to construct de Sitter vacua in string theory and
explain how the results of this 20-year endeavor could point to the fact that string theory …

The past two decades have seen transformative advances in cosmology and string theory.
Observations of the cosmic microwave background have revealed strong evidence for …

An important unsolved problem that affects practically all attempts to connect string theory to
cosmology and phenomenology is how to distinguish effective field theories belonging to the …

De Sitter solutions have been recently conjectured to be incompatible with quantum gravity.
In this paper we critically assess the progress and challenges of different mechanisms to …

Wrapped branes in string compactifications introduce a monodromy that extends the field
range of individual closed-string axions to beyond the Planck scale. Furthermore …

We present a simple mechanism for obtaining large-field inflation, and hence a gravitational
wave signature, from string theory compactified on twisted tori. For nil manifolds, we obtain a …

We give an overview of moduli stabilization in compactifications of string theory. We
summarize current methods for construction and analysis of vacua with stabilized moduli …