Explorations of nonperturbative Jackiw-Teitelboim gravity and supergravity

The author studies a family of two-dimensional Jackiw--Teitelboim (JT) supergravites, and, by using string theory techniques, he gives them a complete definition to all orders in the topological expansion. This construction provides a non--perturbative formulation for the JT supergravity that is well--defined and stable. Furthermore, by using a combination of analytical and numerical methods, the author shows explicitly how non--perturbative physics can be extracted for JT gravity within this framework.