A modular Szemeredi-Trotter theorem for hyperbolas

We establish a Szemeredi-Trotter type result for hyperbolas in $\mathbb F_p\times\mathbb F_p$Comment: 7page

On the Hardy-Littlewood maximal function for the cube

It is shown that the Hardy-Littlewood maximal function associated to the cube in $\mathbb R^n$ obeys dimensional free bounds in $L^p$ fir $p>1$. Earlier work only covered the range $p>\frac 32$.Comment: 20 page