The search for faster computing
and better electronic devices has led to the opening up of several promising
routes, which are being actively researched. These include spintronics,
valleytronics, topological computing, quantum computing and exotic
two-dimensional (2D) material based systems, to name a few. Each field has seen
a tremendous amount of effort in the past decade. Broadly, this thesis explores
some of the fundamental aspects of 2D semiconducting and topological materials,
via an optical spectroscopy approach. The technique of choice is femtosecond
ultrafast pump and probe laser spectroscopy, which has proven to be a powerful
tool for investigating fundamental microscopic phenomena.