Maxwell, Katherine2021-09-242021-09-242021-05https://hdl.handle.net/11299/224628University of Minnesota Ph.D. dissertation. May 2021. Major: Mathematics. Advisor: Alexander Voronov. 1 computer file (PDF); ii, 64 pages.We describe a supersymmetric generalization of the construction of Kontsevich and Arbarello, De Concini, Kac, and Procesi, which utilizes a relation between the moduli space of curves with the infinite-dimensional Sato Grassmannian. Our main result is the existence of a flat holomorphic connection on the line bundle $\lambda_{3/2}\otimes\lambda_{1/2}^{-5}$ on the moduli space of triples: a super Riemann surface, a Neveu-Schwarz puncture, and a formal coordinate system.enNeveu-Schwarz algebraSato GrassmannianSuper moduli spaceSuper Riemann surfaceThesis or Dissertation