Oliver Roche-Newton

Available identifiers

zbMath Open roche-newton.oliverWikidataQ102440033 ScholiaQ102440033MaRDI QIDQ261189

List of research outcomes

Publication	Date of Publication	Type
Convexity, squeezing, and the Elekes-Szabó theorem	2024-02-19	Paper
Convexity, Elementary Methods, and Distances	2023-11-24	Paper
Four‐term progression free sets with three‐term progressions in all large subsets	2023-10-12	Paper
Large Convex sets in Difference sets	2023-09-14	Paper
Convexity, superquadratic growth, and dot products	2023-08-23	Paper
A better than $3/2$ exponent for iterated sums and products over $\mathbb R$	2023-04-03	Paper
Local Differences Determined by Convex sets	2023-04-03	Paper
A convex set with a rich difference	2023-02-07	Paper
Counting arcs in $\mathbb F_q^2$	2022-09-07	Paper
A convex set with a rich difference	2022-08-05	Paper
Higher convexity and iterated sum sets	2022-06-30	Paper
The Elekes-Szabó problem and the uniformity conjecture	2022-05-27	Paper
Arcs in \(\mathbb{F}_q^2\)	2022-05-10	Paper
An Energy Bound in the Affine Group	2022-03-02	Paper
Additive and multiplicative Sidon sets	2022-01-06	Paper
New expander bounds from affine group energy	2021-08-18	Paper
Sums, Products, and Dilates on Sparse Graphs	2021-03-17	Paper
Improved bounds for pencils of lines	2021-01-20	Paper
On iterated product sets with shifts. II	2020-11-18	Paper
https://portal.mardi4nfdi.de/entity/Q5116529	2020-08-18	Paper
Higher convexity and iterated sum sets	2020-04-30	Paper
Constructions for the Elekes-Szabó and Elekes-Rónyai problems	2020-03-30	Paper
https://portal.mardi4nfdi.de/entity/Q5384248	2019-06-21	Paper
Analogues of the Balog-Wooley decomposition for subsets of finite fields and character sums with convolutions	2019-06-14	Paper
ON ITERATED PRODUCT SETS WITH SHIFTS	2019-05-23	Paper
If \(A + A\) is small then \(AAA\) is superquadratic	2019-05-16	Paper
NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS	2019-05-13	Paper
On the size of the set AA+A	2019-05-10	Paper
An improved bound for the size of the set $A/A+A$	2018-10-25	Paper
A short proof of a near-optimal cardinality estimate for the product of a sum set	2017-10-10	Paper
Expanders with superquadratic growth	2017-09-08	Paper
Variations on the Sum-Product Problem II	2017-08-31	Paper
Elementary methods for incidence problems in finite fields	2017-01-25	Paper
Packing Sets	2016-11-02	Paper
On sets with few distinct distances	2016-08-09	Paper
A bound on the multiplicative energy of a sum set and extremal sum-product problems	2016-04-13	Paper
New sum-product type estimates over finite fields	2016-03-22	Paper
A new expander and improved bounds for $A(A+A)$	2016-03-22	Paper
If (A+A)/(A+A) is small, then the ratio set is large	2016-03-17	Paper
On distinct perpendicular bisectors and pinned distances in finite fields	2015-12-17	Paper
On the Minkowski distances and products of sum sets	2015-11-16	Paper
New sum-product estimates for real and complex numbers	2015-06-26	Paper
POLYNOMIAL VALUES IN SUBFIELDS AND AFFINE SUBSPACES OF FINITE FIELDS	2015-06-25	Paper
Variations on the Sum-Product Problem	2015-05-20	Paper
Sets with few distinct distances do not have heavy lines	2015-04-29	Paper
Sum-ratio estimates over arbitrary finite fields	2014-07-07	Paper
On an application of Guth-Katz theorem	2013-08-05	Paper
Improved bounds on the set \(A(A+1)\)	2013-03-06	Paper
Convexity and a sum-product type estimate	2012-12-06	Paper
An improved sum-product estimate for general finite fields	2012-03-15	Paper
An improved sum-product estimate for general finite fields	2011-01-27	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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This page was built for person: Oliver Roche-Newton