G2-Manifolds and M-Theory Compactifications

A review article I wrote at the beginning of my Ph.D. built out of my notes on the mathematics and physics of G2-holonomy manifolds. Provides considerable detail about the mathematical construction of these manifolds as well as the nature of the singularities physicists need to identify realistic models of particle physics.

Submitted to Reviews of Mathematical Physics in 2023. Submitted manuscript available here.