This lecture by the instructor focuses on the computational exploration of novel materials, particularly the quantum spin Hall insulator phase in transition metal dichalcogenides. The presentation delves into high-throughput search protocols, first-principles calculations using DFT and MBPT, and the theoretical predictions and experimental confirmations of topological phases in materials like B-Bi4l4 and Weyl semimetals. The lecture also covers the challenges in band gap calculations and the implications of the discovered materials on the field of condensed matter physics.