I have graduated with a PhD in pure mathematics about 18 months ago and right after my graduation, I started working for a private college, teaching some low level courses such as College Algebra and Calculus. I have not done any research since my graduation but I always feel that my life is incomplete without research level mathematics. My college has a good environment in many ways but not mathematically.
But I still want to pursue my dream of doing some research in mathematics. Here are some facts about my situation:
- Changing Job: For personal reasons, I do not want to quit my job, at least for now. I may consider a new job after five or ten years. But I would not mind finding a part-time job.
- Funds: My college provides a very small fund for my academic usage, including purchasing books, travelling to conferences, etc.
- Personnel: There are only a few mathematics teachers here and none of them is doing any research level mathematics. So I can hardly find any mathematical support in my college.
- Motivation: I will not get promoted or receive any salary raise, whether I publish any paper or not. So my motivation will be from love of mathematics and (possibly) another job in the far future.
- Resources 1: I do not have access to good data bases such as MathSciNet. My school library carries very limited books in my area but I can go to a good library in another university if needed.
- Resources 2: There is a good university within a reasonable driving distance and there are a few mathematicians there in my field.
- Time issue: During the semesters my spare time is very limited. I have more free time during the winter and summer break that I am willing to devote to mathematical research.
Any suggestions for me to do my research in this environment will be greatly appreciated.