Explore a groundbreaking algorithm for solving large systems of analytic nonlinear equations using monodromy in this 20-minute video presentation. Delve into the research conducted during a Summer 2023 internship at Wolfram Research, Inc., focusing on Calculus and Algebra. Learn about the proposal and implementation of this novel approach, developed under the mentorship of Daniel Lichtblau and Devendra Kapadia. Gain insights into advanced numerical methods and their applications in solving complex mathematical problems.