My math blog:https://hxypqr.wordpress.com.

The following problems are my favorite right now (rank by order):

1.Sarnak Mobius disjointness conjecture.

2.Kakeya conjecture in $R^n$.

3.Some MVP for k-hessian equation and k-curvature equation.

4.Inverse spectrums problem in $R^2$.

5.$\{n^2+1|n\in N^*\}$ contain infinite primes.

6.lonely runner conjecture.

7.renormalization technique in dynamic system.