M. Rudnev

Discrete Mathematics and Combinatorics · with Shkredov · 2005–2017

A researcher in the Science corpus: 8 papers; trusts 25 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 68 citations into it; #317 of 2,017 by trust here, #321 by citations
• Algebra and Number Theory — 36 citations into it; #891 of 2,864 by trust here, #1,136 by citations
• Geometry and Topology — 31 citations into it
• Applied Mathematics — 26 citations into it
• Computational Theory and Mathematics — 23 citations into it; #7,218 of 12,182 by trust here, #9,306 by citations
• Computer Graphics and Computer-Aided Design — 15 citations into it; #985 of 1,584 by trust here, #1,447 by citations
• Artificial Intelligence — 8 citations into it; #18,546 of 35,345 by trust here, #27,551 by citations
• Computer Vision and Pattern Recognition — 5 citations into it

Whom M. Rudnev trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. József Solymosi
2. Jean Bourgain
3. Moubariz Z. Garaev
4. Nets Hawk Katz
5. Ilya D. Shkredov
6. Tomasz Schoen
7. Oliver Roche-Newton
8. Terence Tao
9. Imre Z. Ruzsa
10. E. Yazici

Who trusts M. Rudnev overall

1. Ilya D. Shkredov
2. E. Yazici
3. Sophie Stevens
4. Brendan Murphy
5. Oliver Roche-Newton
6. Frank de Zeeuw
7. Derrick Hart
8. Alex Iosevich

Papers from M. Rudnev's perspective

Ordered by how strongly the researchers M. Rudnev trusts endorse each paper. Same corpus, a different order for every researcher.

1. A sum-product estimate in finite fields, and applications
2. A new proof of Szemerédi's theorem
3. Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications
4. Uniform expansion bounds for Cayley graphs of SL2(Fp)
5. MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
6. Analytic Number Theory (All the Math You Missed)
7. Additive properties of product sets in fields of prime order
8. Estimates for the Number of Sums and Products and for Exponential Sums in Fields of Prime Order
9. On a variant of sum-product estimates and explicit exponential sum bounds in prime fields (Mathematical Proceedings of the Cambridge Philosophical Society)
10. On the Number of Sums and Products

Their papers

• Growth Estimates in Positive Characteristic via Collisions (2015) — 65 citations
• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS (2017) — 67 citations
• On the energy variant of the sum-product conjecture (2016) — 51 citations
• New sum-product type estimates over finite fields (2014) — 88 citations
• An explicit incidence theorem in p (2010) — 50 citations
• An improved sum-product inequality in fields of prime order (2010) — 61 citations
• Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdos-Falconer distance conjecture (2007) — 178 citations
• Erdös distance problem in vector spaces over finite fields (2005) — 222 citations