Explore advanced concepts in tensor rank theory through this 18-minute IEEE conference talk. Delve into the intricacies of numeric to symbolic transfer and its implications for rank methods. Join speakers Ankit Garg, Visu Makam, Rafael Oliveira, and Avi Wigderson as they guide you through key topics including matrix rank, tensor rank, and their associated theorems. Gain insights into the technical aspects of parameterization and discover potential applications. Conclude with a discussion on future directions in this cutting-edge field of mathematics and computer science.