Living on the edge: Phase transitions in convex programs with random data D Amelunxen, M Lotz, MB McCoy, JA Tropp Information and Inference: A Journal of the IMA 3 (3), 224-294, 2014 | 465 | 2014 |

Living on the edge: A geometric theory of phase transitions in convex optimization D Amelunxen, M Lotz, MB McCoy, JA Tropp CALIFORNIA INST OF TECH PASADENA DEPT OF COMPUTING AND MATHEMATICAL SCIENCES, 2013 | 104 | 2013 |

Intrinsic volumes of polyhedral cones: a combinatorial perspective D Amelunxen, M Lotz Discrete & Computational Geometry 58 (2), 371-409, 2017 | 47 | 2017 |

Smoothed analysis of complex conic condition numbers P Bürgisser, F Cucker, M Lotz Journal de mathématiques pures et appliquées 86 (4), 293-309, 2006 | 36 | 2006 |

The probability that a slightly perturbed numerical analysis problem is difficult P Bürgisser, F Cucker, M Lotz Mathematics of Computation 77 (263), 1559-1583, 2008 | 32 | 2008 |

Coverage processes on spheres and condition numbers for linear programming P Bürgisser, F Cucker, M Lotz The Annals of Probability 38 (2), 570-604, 2010 | 30 | 2010 |

Lower bounds on the bounded coefficient complexity of bilinear maps P Bürgisser, M Lotz Journal of the ACM (JACM) 51 (3), 464-482, 2004 | 30 | 2004 |

Effective condition number bounds for convex regularization D Amelunxen, M Lotz, J Walvin IEEE Transactions on Information Theory 66 (4), 2501-2516, 2020 | 24* | 2020 |

On the algebraic complexity of some families of coloured Tutte polynomials M Lotz, JA Makowsky Advances in Applied Mathematics 32 (1-2), 327-349, 2004 | 24 | 2004 |

Counting Complexity Classes for Numeric Computations. III: Complex Projective Sets P Bürgisser, F Cucker, M Lotz Foundations of Computational Mathematics 5 (4), 351-387, 2005 | 18* | 2005 |

The complexity of computing the Hilbert polynomial of smooth equidimensional complex projective varieties P Burgisser, M Lotz Foundations of Computational Mathematics 7 (1), 59-86, 2007 | 17 | 2007 |

On the volume of tubular neighborhoods of real algebraic varieties M Lotz To appear in Proceedings of the AMS, 2012 | 16 | 2012 |

Molecular subtype, biological sex and age shape melanoma tumour evolution M Lotz, T Budden, SJ Furney, A Virós British Journal of Dermatology 184 (2), 328-337, 2021 | 15 | 2021 |

Average-case complexity without the black swans D Amelunxen, M Lotz Journal of Complexity 41, 82-101, 2017 | 15 | 2017 |

General formulas for the smoothed analysis of condition numbers P Bürgisser, F Cucker, M Lotz Comptes Rendus Mathematique 343 (2), 145-150, 2006 | 15 | 2006 |

Wilkinson’s bus: Weak condition numbers, with an application to singular polynomial eigenproblems M Lotz, V Noferini Foundations of Computational Mathematics 20 (6), 1439-1473, 2020 | 10 | 2020 |

Concentration of the intrinsic volumes of a convex body M Lotz, MB McCoy, I Nourdin, G Peccati, JA Tropp Geometric Aspects of Functional Analysis, 139-167, 2020 | 10 | 2020 |

On the error in phase transition computations for compressed sensing S Daei, F Haddadi, A Amini, M Lotz IEEE Transactions on Information Theory 65 (10), 6620-6632, 2019 | 7 | 2019 |

Adversarial smoothed analysis F Cucker, R Hauser, M Lotz Journal of Complexity 26 (3), 255-262, 2010 | 6 | 2010 |

Persistent homology for low-complexity models M Lotz Proceedings of the Royal Society A 475 (2230), 20190081, 2019 | 5 | 2019 |