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Explore advanced mathematical foundations in cryptography through this 19-minute conference talk presented at TCC 2024, the second installment in a five-part Math & Foundations session chaired by Siyao Guo. Delve into cutting-edge theoretical concepts that underpin modern cryptographic systems and security 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 research and development.