A. Iosevich

activity

19992025

most citedThe Fuglede Conjecture holds in

Z_{p} \times Z_{p}

46 citations · 413 across the 115 of their papers we have counts for

collaborators

Showing 2023 · math.COShow all

4 papers · 2 filters

math.CO2023

Generalized point configurations in $F_{q}^{d}$

Paige Bright, Xinyu Fang, Barrett Heritage +4

In this paper, we generalize \cite{IosevichParshall}, \cite{LongPaths} and \cite{cycles} by allowing the \emph{distance} between two points in a finite field vector space to be def…

math.CO2023

Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

Paige Bright, Xinyu Fang, Barrett Heritage +2

The fourth listed author and Hans Parshall (\cite{IosevichParshall}) proved that if $E \subset F_{q}^{d}$ , $d \geq 2$ , and $G$ is a connected graph on $k + 1$ vertices such that…

math.CO2023

VC-Dimension of Hyperplanes over Finite Fields

Ruben Ascoli, Livia Betti, Justin Cheigh +8

Let $F_{q}^{d}$ be the $d$ -dimensional vector space over the finite field with $q$ elements. For a subset $E \subseteq F_{q}^{d}$ and a fixed nonzero $t \in F_{q}$ ,…

math.CO2023

An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory

Alex Iosevich, Thang Pham, Steven Senger +1

The main purpose of this paper is to prove that the point-line incidence bound due to Vinh (2011) over arbitrary finite fields can be improved in certain ranges by using tools from…

Generalized point configurations in Fqd​

Improved bounds for embedding certain configurations in subsets of vector spaces over finite fields

VC-Dimension of Hyperplanes over Finite Fields

An improved point-line incidence bound over arbitrary finite fields via the VC-dimension theory

Generalized point configurations in $F_{q}^{d}$