Brendan Murphy
Discrete Mathematics and Combinatorics · with Rudnev · 2015–2017
A researcher in the Science corpus: 2 papers; trusts 11 researchers and is trusted by 3 researchers here, as inferred from the citation graph.
Subfields
- Discrete Mathematics and Combinatorics — 29 citations into it; #1,154 of 2,017 by trust here, #1,251 by citations
- Algebra and Number Theory — 13 citations into it
- Computational Theory and Mathematics — 12 citations into it; #7,216 of 12,182 by trust here, #9,306 by citations
- Geometry and Topology — 12 citations into it
- Applied Mathematics — 8 citations into it
- Computer Graphics and Computer-Aided Design — 7 citations into it; #984 of 1,584 by trust here, #1,447 by citations
- Artificial Intelligence — 5 citations into it
Whom Brendan Murphy trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Jean Bourgain
- József Solymosi
- Harald Andrés Helfgott
- M. Rudnev
- Imre Z. Ruzsa
- Nets Hawk Katz
- Tomasz Schoen
- Ilya D. Shkredov
- Oliver Roche-Newton
- Alex Gamburd
Who trusts Brendan Murphy overall
Papers from Brendan Murphy's perspective
Ordered by how strongly the researchers Brendan Murphy trusts endorse each paper. Same corpus, a different order for every researcher.
- A sum-product estimate in finite fields, and applications
- Uniform expansion bounds for Cayley graphs of SL2(Fp)
- MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
- Analytic Number Theory (All the Math You Missed)
- Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications
- On the Number of Sums and Products
- The distribution of integers with a divisor in a given interval
- On the size of k-fold sum and product sets of integers
- New sum-product type estimates over finite fields
- Higher moments of convolutions
Their papers
- Growth Estimates in Positive Characteristic via Collisions (2015) — 65 citations
- NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS (2017) — 67 citations