The primary goals of Quantum Studies: Mathematics and Foundations are to promote a deeper understanding of all fundamental aspects of quantum theory and to bridge between theoretical questions, foundational issues, mathematical methods, and the further evolution of quantum physics. Papers of high scientific quality in and between these domains are welcome. The emphasis is on mathematical methods and insights that lead to a better understanding of the paradoxical aspects of quantum physics and to its expansion into new domains. We encourage the creative use of such paradoxes and invite research articles and surveys. The target audience of this international journal are physicists, mathematicians and philosophers of science with an interest in the fundamental aspects of quantum theory.