Coeffecients of Gaussian Polynomials Modulo N

As I entered high school I became interested in learning about different areas of mathematics but I was also interested in the research process. It was one thing to read about mathematics, but what was inventing it like? Eventually, this path led me to the MIT PRIMES program where I was paired up with a graduate student to work on a project in combinatorics. The problem I worked on was a conjecture by Prof. Richard Stanley about q-binomial coefficients, and generalization of binomial coefficients … My mentor had me read through some related papers concerning the topic so that I got a good sense of the area and which directions people were interested in exploring.

• Mathematics