At the University of Toronto conference, Al-Shbeil presented on a specific class of functions known as rational equivariant functions. Our investigation focused on determining which elliptic zeta functions, derived from integrals of powers of the Weierstrass \( \wp \)-function (associated with a rank-two lattice in \( \mathbb{C} \)), yield rational equivariant forms. We provided examples to illustrate these rational equivariant functions and established a criterion to determine their rationality, particularly when derived from ratios of modular functions of low weight. 

Applications of this work are significant in number theory and extend to mathematical physics. Modular forms, which underlie our study, are crucial in understanding arithmetic properties of elliptic curves, partition theory, and various physical theories, including string theory and quantum field theory. This research has potential applications in solving complex equations and exploring symmetries in mathematical models that are foundational in physics.​​