Highly adaptable query optimizer search space generation process A Nica, IL Charlesworth US Patent 8,429,151, 2013 | 114 | 2013 |

On two-faced families of non-commutative random variables I Charlesworth, B Nelson, P Skoufranis Canadian Journal of Mathematics 67 (6), 1290-1325, 2015 | 43 | 2015 |

Combinatorics of bi-freeness with amalgamation I Charlesworth, B Nelson, P Skoufranis Communications in Mathematical Physics 338, 801-847, 2015 | 39 | 2015 |

Free entropy dimension and regularity of non-commutative polynomials I Charlesworth, D Shlyakhtenko Journal of Functional Analysis 271 (8), 2274-2292, 2016 | 26 | 2016 |

Parallelizing Query Optimization A Nica, IL Charlesworth US Patent App. 13/369,500, 2013 | 19 | 2013 |

Distortion for multifactor bimodules and representations of multifusion categories M Bischoff, I Charlesworth, S Evington, L Giorgetti, D Penneys arXiv preprint arXiv:2010.01067, 2020 | 7 | 2020 |

Simultaneous upper triangular forms for commuting operators in a finite von Neumann algebra I Charlesworth, K Dykema, F Sukochev, D Zanin Canadian Journal of Mathematics 72 (5), 1188-1245, 2020 | 7 | 2020 |

Free Stein irregularity and dimension I Charlesworth, B Nelson arXiv preprint arXiv:1902.02379, 2019 | 7 | 2019 |

Matrix models for ε-free independence I Charlesworth, B Collins Archiv der Mathematik 116 (5), 585-600, 2021 | 5 | 2021 |

An alternating moment condition for bi-freeness I Charlesworth Advances in Mathematics 346, 546-568, 2019 | 5 | 2019 |

Analyzing query optimization process: Portraits of join enumeration algorithms A Nica, I Charlesworth, M Panju 2012 IEEE 28th International Conference on Data Engineering, 1301-1304, 2012 | 5 | 2012 |

Analogues of entropy in bi-free probability theory: non-microstate I Charlesworth, P Skoufranis Advances in Mathematics 375, 107367, 2020 | 4 | 2020 |

Regularity of polynomials in free variables I Charlesworth, D Shlyakhtenko arXiv preprint arXiv:1408.0580, 2014 | 4 | 2014 |

Strong 1-boundedness, -Betti numbers, algebraic soficity, and graph products I Charlesworth, R de Santiago, B Hayes, D Jekel, SK Elayavalli, B Nelson arXiv preprint arXiv:2305.19463, 2023 | 3 | 2023 |

Analogues of entropy in bi-free probability theory: microstates I Charlesworth, P Skoufranis International Mathematics Research Notices 2023 (1), 636-707, 2023 | 2 | 2023 |

On free Stein dimension I Charlesworth, B Nelson arXiv preprint arXiv:2201.00062, 2021 | 1 | 2021 |

On the structure of graph product von Neumann algebras I Charlesworth, R de Santiago, B Hayes, D Jekel, SK Elayavalli, B Nelson arXiv preprint arXiv:2404.08150, 2024 | | 2024 |

Random permutation matrix models for graph products I Charlesworth, R de Santiago, B Hayes, D Jekel, SK Elayavalli arXiv preprint arXiv:2404.07350, 2024 | | 2024 |

Free Stein discrepancy as a regularity condition I Charlesworth, B Nelson arXiv 2019, 2019 | | 2019 |

On Bi-Free Probability and Free Entropy IL Charlesworth University of California, Los Angeles, 2017 | | 2017 |