Mehdi Makhul

activity

20162026

most citedIrreducible components of sets of points in the plane that satisfy distance conditions

1 citations · 1 across the 5 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

Constructions for the Elekes-Szabó and Elekes-Rónyai problems

Mehdi Makhul, Oliver Roche-Newton, Audie Warren +1

We give a construction of a non-degenerate polynomial $F \in R [x, y, z]$ and a set $A$ of cardinality $n$ such that $\left|Z(F)\cap (A \times A \times A) \right| \gg n^{\frac{…

math.AG2018

An application of Bertini Theorem

Mehdi Makhul, Josef Schicho

Given an irreducible variety $X$ over a finite field, the density of hypersurfaces of varying degree $d$ intersecting $X$ in an irreducible subvariety is $1$ , by a result of Charle…

math.CO2018

A family of four-variable expanders with quadratic growth

Mehdi Makhul

We prove that if $g (x, y)$ is a polynomial of constant degree $d$ that $y_{2} - y_{1}$ does not divide $g (x_{1}, y_{1}) - g (x_{2}, y_{2})$ , then for any finite set $A \subset R$ \[ |X| \gg_d…