Suggestions for a graduate-level project in astronomy and cosmology include exploring dark energy and its unresolved issues, as well as investigating methods to detect advanced civilizations within 100 light-years using electromagnetic or chemical means. It's important to identify specific research questions and then determine the appropriate detection methods. Engaging with current literature, such as the latest papers on arXiv, can provide valuable insights and inspiration. Clarifying the scope and expectations of the project with the advisor is crucial, as they will ultimately approve the chosen topic. Starting with a focused area of interest will help streamline the research process.
