researcher

N. Katz

33 papers hereh-index 293.4k citations65 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position

sole author4
first author16
middle author7
last author6

Across the 33 of 33 papers where every author was matched, so the position is known.

fields

math.CA16
math.CO9
math.AP3
math.NT2
cs.CC1
math.GT1

same name

N. Katz — 160 papers, h 70
N. Katz — 47 papers, h 22
N. Katz — 7 papers, h 3
N. Katz — 6 papers, h 14
N. Katz — 2 papers, h 11

Either other researchers who publish under this name, or the same person where the external sources have not merged their records.

identity via Semantic Scholar / OpenAlex

activity

19992023

most citedSome connections between Falconer's distance set conjecture, and sets of Furstenburg type

108 citations · 378 across the 31 of their papers we have counts for

collaborators

Showing 2007 · math.NTShow all

2 papers · 2 filters

math.NT2007★ 32 cited

Garaev's Inequality in finite fields not of prime order

Nets Hawk Katz, Chun-Yen Shen

We prove a version of Garaev's sum product theorem in the set of finite fields with non-prime order. Because of the presence of subfields, this seems to require some hypotheses on…

math.NT2007★ 2 cited

A Slight Improvement to Garaev's Sum Product Estimate

Nets Hawk Katz, Chun-Yen Shen

We slightly improve Garaev's recent sum-product estimate largely by using Plunneke's inequality a little more efficiently. We improve the exponent from 15/14 to 14/13.