In this talk, I will discuss the sup‑norm problem for cusp forms on SL₂(ℤ). Given an orthonormal basis for the space of weight k cusp forms {fⱼ} with 1≤j≤ N where N is the dimension of the space of cusp forms, I will consider cusp forms that are linear combinations of {fⱼ} with complex coefficients uniformly drawn from the unit sphere in ℂᴺ. I will describe joint work with Bingrong Huang, Igor Wigman, and Nadav Yesha, in which we obtain bounds for the sup‑norm of these cusp forms, both within compact domains of SL₂(ℤ) \ ℍ and over the entire domain.