New Progress in Computational Number Theory and Number-Theoretic Cryptography
Computational number theory is a new interdisciplinary subject of number theory, computation theory, and quantum theory, with a novel application in cryptography, which is, in turn, motivated the development of computational number theory. In this talk, I shall first present some new developments in computational number theory, particularly in quantum computational number theory, then, I shall discuss the interconnections between computational number theory and number-theoretic cryptography, especially the unexpected applications of machine learning to both computational number theory and number-theoretic cryptography, which may lead to some new ideas in breaking the widely used cryptography, including the most famous RSA cryptography. The talk will be based on my following research monograph at some extend: Quantum Computational Number Theory.