Twenty-four hours of local cohomology SB Iyengar, S Iyengar, GJ Leuschke, A Leykin, E Miller, C Miller American Mathematical Soc., 2007 | 189 | 2007 |

Newton's method with deflation for isolated singularities of polynomial systems A Leykin, J Verschelde, A Zhao Theoretical Computer Science 359 (1-3), 111-122, 2006 | 159 | 2006 |

Higher-order deflation for polynomial systems with isolated singular solutions A Leykin, J Verschelde, A Zhao Algorithms in algebraic geometry, 79-97, 2008 | 70 | 2008 |

Certified numerical homotopy tracking C Beltrán, A Leykin Experimental Mathematics 21 (1), 69-83, 2012 | 56 | 2012 |

Numerical algebraic geometry A Leykin Journal of Software for Algebra and Geometry 3 (1), 5-10, 2011 | 55 | 2011 |

Robust certified numerical homotopy tracking C Beltrán, A Leykin Foundations of Computational Mathematics 13 (2), 253-295, 2013 | 43 | 2013 |

Galois groups of Schubert problems via homotopy computation A Leykin, F Sottile Mathematics of Computation 78 (267), 1749-1765, 2009 | 43 | 2009 |

Solving polynomial systems via homotopy continuation and monodromy T Duff, C Hill, A Jensen, K Lee, A Leykin, J Sommars IMA Journal of Numerical Analysis 39 (3), 1421-1446, 2019 | 37 | 2019 |

Algorithmic proofs of two theorems of Stafford A Leykin Journal of Symbolic Computation 38 (6), 1535-1550, 2004 | 37 | 2004 |

Constructibility of the set of polynomials with a fixed Bernstein–Sato polynomial: an algorithmic approach A Leykin Journal of Symbolic Computation 32 (6), 663-675, 2001 | 33 | 2001 |

Evaluation of Jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems A Leykin, J Verschelde, A Zhao Symbolic-Numeric Computation, 269-278, 2007 | 27 | 2007 |

Numerical primary decomposition A Leykin Proceedings of the twenty-first international symposium on Symbolic and …, 2008 | 26 | 2008 |

PHCmaple: A Maple interface to the numerical homotopy algorithms in PHCpack A Leykin, J Verschelde Proceedings of the Tenth International Conference on Applications of …, 2004 | 24 | 2004 |

-MODULES FOR MACAULAY 2 A Leykin Mathematical Software, 169-179, 2002 | 23 | 2002 |

Bertini for Macaulay2 DJ Bates, E Gross, A Leykin, JI Rodriguez arXiv preprint arXiv:1310.3297, 2013 | 21 | 2013 |

Parallel homotopy algorithms to solve polynomial systems A Leykin, J Verschelde, Y Zhuang International Congress on Mathematical Software, 225-234, 2006 | 21 | 2006 |

Algorithms for Bernstein--Sato polynomials and multiplier ideals C Berkesch, A Leykin Proceedings of the 2010 International Symposium on Symbolic and Algebraic …, 2010 | 20 | 2010 |

On parallel computation of Grobner bases A Leykin Workshops on Mobile and Wireless Networking/High Performance Scientific …, 2004 | 19 | 2004 |

Noetherianity for infinite-dimensional toric varieties J Draisma, R Eggermont, R Krone, A Leykin Algebra & Number Theory 9 (8), 1857-1880, 2015 | 18 | 2015 |

Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm A Leykin, J Verschelde International Journal of Computational Science and Engineering 4 (2), 94-101, 2009 | 17 | 2009 |