In this talk, we present a method for calculating the partition function of the H^{0|2l} sigma model on the complete graph K_N in the limit N \to \infty. We begin with a brief introduction to spin models on the complete graph, followed by low-dimensional examples of the model for l = 1, 2. We then introduce the Berezin integral and explain how the partition function can be represented in this formalism. After that, we will describe the techniques used to study the model in different temperature regimes: supercritical, subcritical, and at the critical temperature. Finally, we will show that this model undergoes a continuous (second-order) phase transition and discuss potential directions for future research. Advisor: Nicholas Crawford