Erdös distance problem in vector spaces over finite fields A Iosevich, M Rudnev Transactions of the American Mathematical Society 359 (12), 6127-6142, 2007 | 182 | 2007 |

Averages over hyperplanes, sum-product theory in vector spaces over finite fields and the Erdős-Falconer distance conjecture D Hart, A Iosevich, D Koh, M Rudnev Transactions of the American Mathematical Society 363 (6), 3255-3275, 2011 | 151* | 2011 |

On the number of incidences between points and planes in three dimensions M Rudnev Combinatorica, 1-36, 2017 | 100 | 2017 |

New sum-product type estimates over finite fields O Roche-Newton, M Rudnev, ID Shkredov Adv. Math. 293, 589–605, 2016 | 83 | 2016 |

An improved sum-product inequality in fields of prime order M Rudnev Int Math Res Notices 16, 3693-3705, 2012 | 62 | 2012 |

New results on sum‐product type growth over fields B Murphy, G Petridis, O Roche‐Newton, M Rudnev, ID Shkredov Mathematika 65 (3), 588-642, 2019 | 58 | 2019 |

Group actions and geometric combinatorics in 𝔽qd M Bennett, D Hart, A Iosevich, J Pakianathan, M Rudnev Forum Mathematicum 29 (1), 91-110, 2017 | 58 | 2017 |

Growth estimates in positive characteristic via collisions E Aksoy Yazici, B Murphy, M Rudnev, I Shkredov International Mathematics Research Notices, 2016 | 52* | 2016 |

On new sum-product--type estimates SV Konyagin, M Rudnev SIAM Journal on Discrete Mathematics 27 (2), 973-990, 2013 | 48 | 2013 |

Existence of exponentially small separatrix splittings and homoclinic connections between whiskered tori in weakly hyperbolic near-integrable Hamiltonian systems M Rudnev, S Wiggins Physica D: Nonlinear Phenomena 114 (1-2), 3-80, 1998 | 46 | 1998 |

On the energy variant of the sum-product conjecture M Rudnev, ID Shkredov, S Stevens Revista Matemática Iberoamericana 36 (1), 207-232, 2019 | 45 | 2019 |

AN EXPLICIT INCIDENCE THEOREM IN 𝔽p HA Helfgott, M Rudnev Mathematika 57 (1), 135-145, 2011 | 44 | 2011 |

KAM theory near multiplicity one resonant surfaces in perturbations of a-priori stable Hamiltonian systems M Rudnev, S Wiggins Journal of Nonlinear Science 7 (2), 177-209, 1997 | 44 | 1997 |

On additive properties of product sets in an arbitrary finite field A Glibichuk, M Rudnev Journal d'Analyse Mathématique 108 (1), 159, 2009 | 38* | 2009 |

On an application of Guth-Katz theorem A Iosevich, O Roche-Newton, M Rudnev Math. Res. Letters 18 (4), 691-697, 2011 | 37 | 2011 |

On the Minkowski distances and products of sum sets O Roche-Newton, M Rudnev Israel Journal of Mathematics 209, 507-526, 2015 | 35* | 2015 |

Theory of dimension for large discrete sets and applications A Iosevich, M Rudnev, I Uriarte-Tuero Mathematical Modelling of Natural Phenomena 9 (5), 148-169, 2014 | 35* | 2014 |

Generalized incidence theorems, homogeneous forms and sum–product estimates in finite fields D Covert, D Hart, A Iosevich, D Koh, M Rudnev European Journal of Combinatorics 31 (1), 306-319, 2010 | 34 | 2010 |

Combinatorial complexity of convex sequences A Iosevich, S Konyagin, M Rudnev, V Ten Discrete & Computational Geometry 35 (1), 143-158, 2006 | 33 | 2006 |

Areas of triangles and Beck’s theorem in planes over finite fields A Iosevich, M Rudnev, Y Zhai Combinatorica 35 (3), 295-308, 2015 | 30 | 2015 |