"Strongly correlated electron systems are in the forefront of contemporary physics due to both fundamentally open issues and the application of such systems in modern electronics, spintronics, and quantum information technology. However, successful application and unravelling of the fundamental phenomena require further studies which can only be performed with powerful numerical simulation techniques.Herein, we intend to investigate the dynamic and magnetic properties of strongly correlated electron systems with the recently developed continuous-time quantum Monte Carlo (CT-QMC) simulation method. This is a very powerful numerical method which significantly advances the limit of conventional quantum Monte Carlo methods. The applicant recently acquired expertise in this field during a longer stay in Japan and she will install this method at the host institution and apply it with the following objectives: study of (i) anomalous rare-earth compounds with exotic multipole orders, (ii) attractive fermionic models such as the N-flavour attractive Hubbard model, and (iii) compounds with the 5d transition metal ion Ir, the so called iridates, where the spin-orbit interaction is strong. The expected results will contribute to the better understanding of correlated behavior such as unconventional insulating states or Kondo effect which can be efficiently dealt with by the CT-QMC method in contrast with other numerical methods.This bridging between the applicant's previous workplace in Japan and the host institution in Hungary provides knowledge transfer and fruitful collaboration. This will also contribute to counteract brain drain between Europe and overseas and to strengthen a host in a less favoured EU region. The applicant's expertise with the theoretical study of strongly correlated systems is shown by her 18 publications in leading scientific journals and by the 129 independent citations to these works."