Hassan Norouzi

collaborators

3 papers

math.CO2026

On the Slice Rank of Tensors in P-Echelon Form

Omran Ahmadi, Hassan Norouzi

For a totally ordered finite set $A$ with the total order $Q$ , a poset $P = ([d], \leq_{P})$ , and a field $F$ , a tensor $T : A^{d} ⟶ F$ is in $P$ -echelon form…

math.CO2026

A Polynomial Improvement of Naslund--Sawin Bound for Sunflower-Free Families Using Triangular Tensors

Omran Ahmadi, Hassan Norouzi

Naslund and Sawin used the slice-rank method for diagonal tensors to prove that $∣ F ∣ = O (n^{1/2} (\frac{3}{2 ^{2/3}})^{n})$ for any sunflower-free fam…

math.CO2025

Triangular tensors and set-intersection problems

Omran Ahmadi, Hassan Norouzi

In the past few years, the slice-rank lemma of Tao has been applied successfully to many problems in extremal combinatorics. In this paper, first, we define a new notion of triangu…