This lecture by the instructor focuses on the discovery and design of novel materials in silico, with a particular emphasis on topological materials. The content covers the timeline of topological materials, the Kane-Mele model, quantum spin Hall effect, and the Haldane model. It also delves into Z₂ topological insulators, spin-orbit interactions, and the electronic structure of Bi chalcogenides. The lecture highlights the significance of topological crystalline insulators and topological semimetals, showcasing various examples and theoretical predictions.