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The Banff International Research Station will host the "Algebraic and Statistical ways into Quantum Resource Theories" workshop in Banff from July 21, 2019 to July 26, 2019. The 2019 BIRS workshop aims to pave new algebraic and statistical ways into quantum resource theories. Forty-two world-renown researchers from the three areas of quantum information science, mathematical statistics, and operator theory will unite to advance the subject of generalized resource theories. In the world of quantum mechanics, objects can demonstrate highly counter-intuitive behavior, such as particles acting like waves. Yet, scientists are now discovering revolutionary ways to utilize quantum phenomena in computing and communication technologies. The mere curiosities of quantum mechanics have been elevated to the level of physical resources. In this workshop, known mathematical techniques will be introduced to the study of quantum resources, and conversely, open problems in quantum resource theories will motivate novel areas of mathematics. By fostering the exchange of fresh ideas and establishing new collaborations, this workshop will stimulate cutting-edge research in these exciting fields. The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada-s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta-s Advanced Education and Technology, and Mexico-s Consejo Nacional de Ciencia y Tecnología (CONACYT).