2 problems

Grid obstruction conjecture. There exists a $\gamma\in(1,2)$ such that the Erdős–Szekeres construction cannot be realized in an $n^\gamma\times n^\gamma$ integer grid. The paper co…

Integer-grid problem conjecture. The answer to this problem is no for all $\gamma\ge 1$; equivalently, for every $\gamma\ge 1$, there are arbitrarily large such point sets containi…