Ilya D. Shkredov
Discrete Mathematics and Combinatorics · 2005–2018
A researcher in the Science corpus: 9 papers; trusts 32 researchers and is trusted by 10 researchers here, as inferred from the citation graph.
Subfields
- Discrete Mathematics and Combinatorics — 76 citations into it; #324 of 2,017 by trust here, #335 by citations
- Algebra and Number Theory — 45 citations into it; #1,344 of 2,864 by trust here, #2,062 by citations
- Geometry and Topology — 38 citations into it; #2,301 of 7,422 by trust here, #3,228 by citations
- Computational Theory and Mathematics — 28 citations into it; #4,379 of 12,182 by trust here, #5,954 by citations
- Applied Mathematics — 23 citations into it
- Computer Graphics and Computer-Aided Design — 16 citations into it; #1,292 of 1,584 by trust here, #1,447 by citations
- Artificial Intelligence — 9 citations into it; #27,156 of 35,345 by trust here, #31,361 by citations
- Computer Vision and Pattern Recognition — 5 citations into it
Whom Ilya D. Shkredov trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- William T. Gowers
- Jean Bourgain
- Tomasz Schoen
- József Solymosi
- Harald Andrés Helfgott
- S. Shankar
- M. Rudnev
- E. Yazici
- Moubariz Z. Garaev
- Larry Guth
Who trusts Ilya D. Shkredov overall
- Ben Joseph Green
- M. Rudnev
- Sergei V. Konyagin
- Tom Sanders
- Sophie Stevens
- Brendan Murphy
- None None
- Oliver Roche-Newton
- E. Yazici
Papers from Ilya D. Shkredov's perspective
Ordered by how strongly the researchers Ilya D. Shkredov trusts endorse each paper. Same corpus, a different order for every researcher.
- A new proof of Szemerédi's theorem
- A sum-product estimate in finite fields, and applications
- Uniform expansion bounds for Cayley graphs of SL2(Fp)
- A NEW PROOF OF SZEMER ´ EDI'S THEOREM
- Concentration of Points on Two and Three Dimensional Modular Hyperbolas and Applications
- MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS
- On the size of k-fold sum and product sets of integers
- Growth and generation in SL_2(Z/pZ)
- Fourier Analysis on Groups.
- On a variant of sum-product estimates and explicit exponential sum bounds in prime fields (Mathematical Proceedings of the Cambridge Philosophical Society)
Their papers
- Higher moments of convolutions (2011) — 92 citations
- Growth Estimates in Positive Characteristic via Collisions (2015) — 65 citations
- On sum sets of sets having small product set (2015) — 67 citations
- On asymptotic formulae in some sum–product questions (2018) — 47 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
- Some new inequalities in additive combinatorics (2012) — 59 citations
- On a Generalization of Szemerédi's Theorem (2005) — 54 citations