The quantum interaction models, with the quantum Rabi model as a representative example, have attracted attention as mathematical models describing the fundamental elements of quantum computers. These models are deeply intertwined with various branches of mathematics, including number theory, representation theory, and combinatorics. This conference aims to provide a platform for leading researchers in these mathematical “hot topics” to present their latest findings, while also fostering interdisciplinary discussions among participants. The conference is held in celebration of Professor Masato Wakayama’s 70th birthday and is jointly organized with Crypto-Math CREST.