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A central challenge in string phenomenology is to understand the scalar potentials that arise from compactifications to lower-dimensional effective field theories. In recent years, the swampland program has called into question many earlier proposals for semi-realistic vacua in the string landscape. In this talk, I will review the relevant swampland conjectures and discuss the current status of proposed counterexamples. I will begin with the construction of four-dimensional N=1 Minkowski vacua with no massless scalar fields. I will then present recently discovered low-energy effective theories with negative cosmological constants - namely AdS vacua - arising in Type II and heterotic string compactifications on G2 spaces.