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The theory of partition congruences has been a fascinating and difficultsubject for over a century now. In attempting to prove a given congruencefamily, multiple possible complications include the genus of the underlyingmodular curve, representation difficulties of the associated sequences ofmodular functions, and difficulties regarding the piecewise $\ell$-adicconvergence of elements of the associated space of modular functions. However,our knowledge of the subject has developed substantially and continues todevelop. In this very brief survey, we will discuss the utility of modularfunctions in proving partition congruences, both theoretical and computational,and many of the problems in the subject that are yet to be overcome.

Divisibility Arising From Addition: The Application of Modular Functions to Infinite Partition Congruence Families