This workshop focuses on random polynomials - with coefficients that are random variables - in mathematics as well as their applications in other fields. Studying the zeros of a polynomial is one of the oldest and most fundamental problems in mathematics. Classical results include bounds on the number of real roots and connections between the roots and critical points, while extremal properties and approximation theorems have established the importance of polynomials as objects in analysis. Random polynomials arise in many applications, ranging across many fields of physics, engineering, economics, and mathematics. For example, in recent years, random polynomials have been used to study problems in evolutionary game theory, random matrix theory, free probability theory, numerical analysis, symplectic geometry, quantum chaotic dynamics, random differential equations, and approximate solutions of operator equations. This meeting will be a forum to explore problems involving random polynomials, focusing on the various aforementioned applications and involving researchers who study their theoretical, applicable, computational, and numerical aspects.