The research goal of the group is to uncover new physical and mathematical structures and ideas from the study of the geometry associated to field and string theories. In particular, we are interested in the moduli spaces associated to the variation of these structures, the attached wall crossing phenomena as well as physical and geometrical dualities and symmetries. These phenomena are studied using tools from mirror symmetry.
Current projects of the group adress different topics associated to geometry of quantum field theories, such as variation of Hodge structure, Hitchin systems and other integrable systems, higher genus Gromov-Witten theory, BPS state counting and DT theory. To learn more about our research, please visit the Publications section or drop us an email at murad.alim"AT"uni-hamburg.de.