Uriya A. First

activity

20132026

most citedRings That Are Morita Equivalent to Their Opposites

12 citations · 82 across the 30 of their papers we have counts for

collaborators

35 papers

cs.DS2026

Hypergraph Samplers: Typical and Worst Case Behavior

Vedat Levi Alev, Uriya A. First

We study the utility and limitations of using $k$ -uniform hypergraphs $H = ([n], E)$ ( $n \geq poly (k)$ ) in the context of error reduction for randomized algorithms for deci…

cs.CC2025

Good Locally Testable Codes with Small Alphabet and Small Query Size

Uriya First, Stav Lazarovici

Ben-Sasson, Goldreich and Sudan showed that a binary error correcting code admitting a $2$ -query tester cannot be good, i.e., it cannot have both linear distance and constant rate.…

math.RA2025

Irredundant Generating Sets for Matrix Algebras

Yonatan Blumenthal, Uriya First

Let $F$ be a field. We show that the largest irredundant generating sets for the algebra of $n \times n$ matrices over $F$ have $2 n - 1$ elements when $n > 1$ . (A result of Laffey stat…

math.RA2024

Spaces of Generators for Azumaya Algebras with Unitary Involution

Omer Cantor, Uriya A. First

Let $A$ be a finite dimensional algebra (possibly with some extra structure) over an infinite field $K$ and let $r \in N$ . The $r$ -tuples $(a_{1}, \dots, a_{r}) \in A^{r}$ which fail…

math.RA2024

Counterexamples in Involutions of Azumaya Algebras

Uriya First, Ben Williams

Suppose $A$ is an Azumaya algebra over a ring $R$ and $σ$ is an involution of $A$ extending an order- $2$ automorphism $λ : R \to R$ . We say $σ$ is extraordinary if there does not exis…

math.CO2024

Cosystolic Expansion of Sheaves on Posets with Applications to Good 2-Query Locally Testable Codes and Lifted Codes

Uriya A. First, Tali Kaufman

We study sheaves on posets, showing that cosystolic expansion of such sheaves can be derived from local expansion conditions of the sheaf and the poset (typically a high dimensiona…