I am a high school IB student. For my 2-year math course, there is an internal assessment called "exploration" which should be max. 12 pages long. The goal of this assignment is for students to explore areas or uses of mathematics beyond the course.
Now onto the important stuff. After doing some research on topics to investigate in linear algebra, number theory, graph theory or group theory, I came across a potential subject: "Investigating the use of group theory (and of matrices) in symmetry operations in chemistry." I know my question very broad but I am here looking for material to learn from. Please post any useful links or names of topics to look at please!