I am a first year computer science student in India. I have always liked mathematics and have performed well in it. I want to pursue research in pure mathematics. I did some research on the internet and read some answers on this website too. I found out that it is indeed possible and people have done it in the past by having some 'relevant undergraduate/graduate level math classes' under their belt.
The problem with this is that my college does not offer any math classes except linear algebra, calculus(including multi-variable) and discrete mathematics.
How should I go about things now? I have self-taught myself proofs and calculus and I am also good at algorithm analysis(my college has not taught me that yet).Here are the other ways, I found on the internet, that I think would help my cause -
- Does self-preparing for GRE math subject test and scoring highly in it help showcase my skills?
- Would doing a math heavy research internship in CS help?
- Do letters of recommendation from CS faculty carry the same weight as a math faculty?
- Is doing a masters in mathematics a better path?
- What are the other ways in which I could show the admission committee that I have the required knowledge one would expect from a math major(assuming I can attain that through self-study) and that I can pass the qualifying exam by taking courses at that university?
- What other math topics should I study? Do I copy a standard undergraduate curriculum or should I read advanced graduate texts too? Please specify the topics.
I want to do research in the US as there are much better institutions there. What advice could you give me for undertaking this journey? Feel free to even claim that admission in a top PhD program would not be possible if that is what you think.
Thanks for reading!