Undergraduate student of Mathematics
My most interesting questions so far:
Proving that the arithmetic-geometric mean of $1$ and $\sqrt{2}$ is $\pi/\varpi$, where $\varpi$ is the lemniscate constant
(with a very elegant answer): Prove that $\sum_{n = 1}^{2160}\exp\left(\pi i\frac{n(n + 1)(2n + 1)}{1080}\right) = 0$