Vijay Shankar’s Answer
I would absolutely not narrow down my choices at this stage (high school). Why not pursue math or allied fields (Physics, Computer Science) and follow your nose as to what seems most interesting to you? Often the most rewarding careers are the result of following a relatively broad set of interests.
There are tons of employment opportunities for people with a good head for mathematics and problem-solving.
I personally pursued Physics in university and graduate school and really enjoyed my pursuit. Now I work as a data scientist which is a mix of mathematical problem-solving (a lot of Physics involves math) and software engineering.
If you want to indulge your curiosity for mathematics, I can recommend a few resources (see next steps below) :
If you are looking for more advice, you can't go wrong by reading Terry Tao's career advice - https://terrytao.wordpress.com/career-advice/
Vijay Shankar recommends the following next steps:
- Read Martin Gardner's books and his scientific american columns. Maybe start with Colossal book of short puzzles and problems? https://www.goodreads.com/book/show/715563.The_Colossal_Book_of_Short_Puzzles_and_Problems
- Watch Vi Hart's youtube channel - https://www.youtube.com/user/Vihart
- Watch 3 blue 1 brown youtube channel - https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw
- Read Excursions into mathematics - great book that dives into some interesting topics that can be understood by high schoolers, but is not usually taught in high school. https://www.goodreads.com/book/show/713411.Excursions_Into_Mathematics
- Read Terry Tao's advice page - https://terrytao.wordpress.com/career-advice/