In our group, we conduct theoretical research on quantum transport and topological properties in low-dimensional strongly correlated electron systems. In particular, we focus on elucidating the properties of anyonic quasiparticles emerging in fractional quantum Hall systems as a central research theme. Anyons are exotic quasiparticles characterized by fractional statistics, and have recently attracted significant international attention due to their potential applications in topological quantum computation based on braiding. We aim to establish a theoretical framework for the experimental verification of anyonic statistics by performing exact analyses of transport phenomena in fractional quantum Hall systems with quantum point contacts. This approach enables us to uncover higher-order anyon dynamics that cannot be captured by conventional perturbative methods. Furthermore, by proposing novel experimental configurations, we seek to realize the direct observation of anyon braiding effects and to deepen the understanding of quantum transport properties.