TUD Dresden University of Technology, as a University of Excellence, is one of the leading and most dynamic research institutions in the country. Founded in 1828, today it is a globally oriented, regionally anchored top university as it focuses on the grand challenges of the 21st century. It develops innovative solutions for the world's most pressing issues. In research and academic programs, the university unites the natural and engineering sciences with the humanities, social sciences and medicine. This wide range of disciplines is a special feature, facilitating interdisciplinarity and transfer of science to society. As a modern employer, it offers attractive working conditions to all employees in teaching, research, technology and administration. The goal is to promote and develop their individual abilities while empowering everyone to reach their full potential. TUD embodies a university culture that is characterized by cosmopolitanism, mutual appreciation, thriving innovation and active participation. For TUD diversity is an essential feature and a quality criterion of an excellent university. Accordingly, we welcome all applicants who would like to commit themselves, their achievements and productivity to the success of the whole institution. The Cluster of Excellence «Complexity and Topology in Quantum Matter - ct.qmat» is a joint project of the Technische Universität Dresden and the Julius-Maximilians-Universität Würzburg and has been funded by the Excellence Strategy of the German federal and state governments since January 1, 2019. ct.qmat brings together more than 270 researchers from the two universities and 5 other research institutes in the fields of physics, materials research and chemistry. The aim of ct.qmat's basic research is to understand, design and control solid-state topological systems. www.ctqmat.de (http://www.ctqmat.de/)