Explore the distribution of ground states in JT Gravity through random matrix models in this 44-minute conference talk by Clifford Johnson from USC. Delivered as part of the Gravity from algebra: modern field theory methods for holography conference at the Kavli Institute for Theoretical Physics, delve into topics such as conformal field theory, holography, and quantum gravity. Examine the relationship between consistency conditions in quantum gravity and conformal field theory, and investigate how these concepts may lead to string/M-theory. Cover key areas including the introduction to random matrix models and JT Gravity, matrix model approach, thermodynamics, string equations, and kernels. Gain insights into the latest developments in the field and participate in the ongoing discussion about the foundations of holography and quantum gravity.