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Explore advanced mathematical foundations in cryptography through this 15-minute conference talk, the fifth and final presentation in the Math & Foundations session at TCC 2024, chaired by Siyao Guo. Delve into cutting-edge research and theoretical developments that underpin modern cryptographic systems and protocols. Access comprehensive supporting materials including research papers and presentation slides through the official TCC 2024 program to deepen your understanding of the mathematical principles driving contemporary cryptographic innovation.