The complete solution of alt–burmester synthesis problems for four-bar linkages DA Brake, JD Hauenstein, AP Murray, DH Myszka, CW Wampler Journal of Mechanisms and Robotics 8 (4), 041018, 2016 | 39 | 2016 |

Paramotopy: parameter homotopies in parallel DJ Bates, DA Brake, ME Niemerg preparation, 2013 | 32* | 2013 |

Algorithm 976: Bertini_real: numerical decomposition of real algebraic curves and surfaces DA Brake, DJ Bates, W Hao, JD Hauenstein, AJ Sommese, CW Wampler ACM Transactions on Mathematical Software (TOMS) 44 (1), 1-30, 2017 | 18 | 2017 |

Bertini_real: Software for one-and two-dimensional real algebraic sets DA Brake, DJ Bates, W Hao, JD Hauenstein, AJ Sommese, CW Wampler Mathematical Software–ICMS 2014: 4th International Congress, Seoul, South …, 2014 | 16 | 2014 |

Arc length based maximal lyapunov functions and domains of attraction estimation for polynomial nonlinear systems M Zarei, A Kalhor, D Brake Automatica 90, 164-171, 2018 | 13 | 2018 |

Decomposing solution sets of polynomial systems using derivatives DA Brake, JD Hauenstein, AC Liddell Jr International Congress on Mathematical Software, 127-135, 2016 | 13 | 2016 |

Validating the completeness of the real solution set of a system of polynomial equations DA Brake, JD Hauenstein, AC Liddell Jr Proceedings of the ACM on International Symposium on Symbolic and Algebraic …, 2016 | 11 | 2016 |

Intrinsic localized modes in two-dimensional vibrations of crystalline pillars and their application for sensing D Brake, H Xu, A Hollowell, G Balakrishnan, C Hains, M Marconi, ... Journal of Applied Physics 112 (10), 2012 | 11 | 2012 |

On computing a cell decomposition of a real surface containing infinitely many singularities DJ Bates, DA Brake, JD Hauenstein, AJ Sommese, CW Wampler Mathematical Software–ICMS 2014: 4th International Congress, Seoul, South …, 2014 | 9 | 2014 |

Numerically validating the completeness of the real solution set of a system of polynomial equations DA Brake, JD Hauenstein, AC Liddell arXiv preprint arXiv:1602.00700, 2016 | 8 | 2016 |

Homotopies for connected components of algebraic sets with application to computing critical sets DJ Bates, DA Brake, JD Hauenstein, AJ Sommese, CW Wampler International Conference on Mathematical Aspects of Computer and Information …, 2017 | 6 | 2017 |

Numerical local irreducible decomposition DA Brake, JD Hauenstein, AJ Sommese International Conference on Mathematical Aspects of Computer and Information …, 2015 | 6 | 2015 |

Singular value decomposition of complexes DA Brake, JD Hauenstein, FO Schreyer, AJ Sommese, ME Stillman SIAM Journal on Applied Algebra and Geometry 3 (3), 507-522, 2019 | 5 | 2019 |

Bertini real: Software for real algebraic sets DA Brake, DJ Bates, W Hao, JD Hauenstein, AJ Sommese, CW Wampler Available at bertinireal. com, 2015 | 5 | 2015 |

Simplified models for Intrinsic localized mode dynamics D Brake, V Putkaradze Proceedings of 2012 International Symposium on Nonlinear Theory and its …, 2012 | 4 | 2012 |

Illustration of numerical algebraic methods for workspace estimation of cooperating robots after joint failure DA Brake, DJ Bates, V Putkaradze, AA Maciejewski IASTED Technology Conferences, Pittsburg, PN USA, 2010 | 4 | 2010 |

Computing complex and real tropical curves using monodromy DA Brake, JD Hauenstein, C Vinzant Journal of Pure and Applied Algebra 223 (12), 5232-5250, 2019 | 3 | 2019 |

polyTop: Software for computing topology of smooth real surfaces DA Brake, JD Hauenstein, MH Regan Mathematical Software–ICMS 2018: 6th International Conference, South Bend …, 2018 | 1 | 2018 |

Reduced systems for Intrinsic Localized Modes on an infinite oscillator array D Brake, V Putkaradze Nonlinear Theory and Its Applications, IEICE 4 (3), 244-255, 2013 | 1 | 2013 |

Solving critical point conditions for the Hamming and taxicab distances to solution sets of polynomial equations DA Brake, NS Daleo, JD Hauenstein, SN Sherman 2019 21st International Symposium on Symbolic and Numeric Algorithms for …, 2019 | | 2019 |