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In 1937 Stefan Kaczmarz (1895-1939) discovered an iterative algorithm for solving a system of linear equations [Kac37], known as Kaczmarzs algorithm or Kaczmarzs method. The result remained almost unnoticed for over 30 years until the 70th of the 20th century, when it turned out that the method could have a lot of applications in various areas of mathematics as well as many practical application in physics, in medicine and in technical sciences, e.g., in the computerized tomography and in many other imaging technologies [Byr08, CZ98, Deu92, Her09, SY98]. In the past 3 decades the method has been developed signi cantly and has been embedded in a broad class of projection algorithms [BB96, BBL97, BC11, Bre97, Ceg12, CC15, CZ18]. Since that time Kaczmarzs short 3-page paper [Kac37] has been cited in over 1000 publications, most of them were published in the past 20 years. A comprehensive bibliography on Kaczmarzs method can be found on the site. For the researchers who work in the area of projection methods and their applications in mathematics, the conference is an occasion to meet and to talk. The researchers who work on applications of Kaczmarzs method and projection methods in physics, medicine and in technical sciences are also welcome. The aim of the conference is to present the state of art of these methods and their applications, to present open questions, to give a possibility of a fruitful cooperation among researchers working in various areas. There will also be a possibility to present results which are related to other publications of Stefan Kaczmarz. On the occasion of Stefan Kaczmarz 125th birthday anniversary, the organizers will also present his biography.