Stronger sum-product inequalities for small sets M Rudnev, G Shakan, I Shkredov arXiv preprint arXiv:1808.08465, 2018 | 26 | 2018 |

On higher energy decompositions and the sum–product phenomenon G Shakan Mathematical Proceedings of the Cambridge Philosophical Society 167 (3), 599-617, 2019 | 25 | 2019 |

Fractal solutions of dispersive partial differential equations on the torus MB Erdoğan, G Shakan Selecta Mathematica 25 (1), 1-26, 2019 | 16 | 2019 |

A lower bound for the least prime in an arithmetic progression J Li, K Pratt, G Shakan The Quarterly Journal of Mathematics 68 (3), 729-758, 2017 | 12 | 2017 |

On the sum of dilations of a set A Balog, G Shakan arXiv preprint arXiv:1311.0422, 2013 | 10 | 2013 |

Breaking the 6/5 threshold for sums and products modulo a prime G Shakan, ID Shkredov arXiv preprint arXiv:1806.07091, 2018 | 9 | 2018 |

On generating functions in additive number theory, II: lower-order terms and applications to PDEs J Brandes, ST Parsell, C Poulias, G Shakan, RC Vaughan Mathematische Annalen 379 (1), 347-376, 2021 | 6 | 2021 |

Sum of dilates in vector spaces A Balog, G Shakan arXiv preprint arXiv:1410.8614, 2014 | 6 | 2014 |

Sum of many dilates G Shakan arXiv preprint arXiv:1402.4721, 2014 | 6 | 2014 |

The Frobenius postage stamp problem, and beyond A Granville, G Shakan Acta Mathematica Hungarica 161 (2), 700-718, 2020 | 4 | 2020 |

An analytic approach to cardinalities of sumsets D Matolcsi, I Ruzsa, G Shakan, D Zhelezov arXiv preprint arXiv:2003.04075, 2020 | 3 | 2020 |

Monochromatic Hilbert cubes and arithmetic progressions J Balogh, M Lavrov, G Shakan, AZ Wagner arXiv preprint arXiv:1805.08938, 2018 | 3 | 2018 |

A Weighted Pr\'ekopa-Leindler inequality and sumsets with quasicubes B Green, D Matolcsi, I Ruzsa, G Shakan, D Zhelezov arXiv preprint arXiv:2003.04077, 2020 | 2 | 2020 |

On distinct consecutive differences I Ruzsa, G Shakan, J Solymosi, E Szemerédi arXiv preprint arXiv:1910.02159, 2019 | 2 | 2019 |

A generalization of the Schur–Siegel–Smyth trace problem K Pratt, G Shakan, A Zaharescu Journal of Mathematical Analysis and Applications 436 (1), 489-500, 2016 | 2 | 2016 |

On distinct consecutive r-differences J Li, G Shakan Journal of Number Theory 199, 363-376, 2019 | 1 | 2019 |

A Large Gap in a Dilate of a Set G Shakan SIAM Journal on Discrete Mathematics 34 (4), 2553-2555, 2020 | | 2020 |

The sum-product problem G Shakan University of Illinois at Urbana-Champaign, 2019 | | 2019 |