Mark Lewko

activity

20102026

most citedAn explicit two-source extractor with min-entropy rate near 4/9

9 citations · 15 across the 13 of their papers we have counts for

collaborators

24 papers

hep-ph2026

The universe as a superconductor: How to search for a photon mass

Andrei Gruzinov, Anson Hook, Junwu Huang

We revisit the bounds on the photon mass when it arises from an Abelian Higgs mechanism rather than a Proca term. Because the higgs is necessarily millicharged and light, the phase…

math.CA2026

A bilinear approach to the finite field restriction problem, II

Mark Lewko

Let $P_{3}$ denote the three-dimensional paraboloid over a finite field of prime order in which $- 1$ is not a square. We prove that the Fourier extension operator associated with $P_…

math.CA2026

The Sidon Decomposition Problem in Abelian Groups of Bounded Torsion

Mark Lewko

Let $G$ be a compact abelian group whose dual group $Γ = G$ has bounded torsion. In 1967, Malliavin-Brameret and Malliavin proved that every Sidon set in $Γ$ is a finite un…

math.CO2026

A Fourier-Free Density-Increment Proof of Roth's Theorem

Mark Lewko

We give an elementary, Fourier-free proof of Roth's theorem. The proof follows Roth's original density-increment strategy, but replaces the usual Fourier-analytic step with a direc…

math.NT2026

An improved non-linear Roth-type theorem in finite fields

Mark Lewko

Let $F$ be a finite field of odd characteristic. We prove that any set $A \subset F$ with $∣ A ∣ \geq C ∣ F ∣^{5/6}$ contains a nontrivial quadratic progression $(x, x+y, x+y^2), y\neq 0.…

math.CA2024

A bilinear approach to the finite field restriction problem

Mark Lewko

Let $P$ denote the $3$ -dimensional paraboloid over a finite field of odd characteristic in which $- 1$ is not a square. We show that the Fourier extension operator associated with $…