# Abstracts for AustMS2016

15 abstracts submitted for session.

Authors | Title | Session | Timetabled | Abstract |
---|---|---|---|---|

Dr Alexandru Ghitza and Mr Angus McAndrew | Differential operators on automorphic forms | Num theory | 2016-12-06 14:00:00 | We discuss a unified approach for studying ... |

Dr Ana Zumalacarregui | Sums of inverses in thin sets on finite fields | Num theory | 2016-12-06 14:30:00 | We will discuss some questions in finite ... |

Dr Arnab Saha | $\delta$-characters of Drinfeld Modules and De Rham Cohomology | Num theory | 2016-12-07 11:30:00 | Drinfeld modules, introduced by Drinfeld himself, can ... |

Dr Min Sha | Exceptional units in residue class rings of global fields | Num theory | 2016-12-08 14:00:00 | Let $R$ be a commutative ring with ... |

Dr Nicole Sutherland | Efficient Computation of Maximal orders of Cyclic Extensions of Global Function Fields | Num theory | 2016-12-05 16:30:00 | Cyclic extensions of global algebraic fields occur ... |

Dr Timothy Trudgian | Sums of squares and powers of 2 | Num theory | 2016-12-08 15:00:00 | We know that a positive proportion of ... |

Dr Tuyen Truong | Dynamical degrees, Weil's Riemann hypothesis and the Fundamental Conjecture D | Num theory | 2016-12-08 14:30:00 | Let $X$ be a smooth projective variety ... |

Maike Massierer | Improvements to point counting on genus two hyperelliptic curves | Num theory | 2016-12-06 16:00:00 | Schoof's algorithm is a standard method for ... |

Miss Morgan Hunter | The least square-free primitive root modulo a prime. | Num theory | 2016-12-07 10:00:00 | Erd\H{o}s asked the question, do all primes ... |

Mr David Quarel | Wu's constant and applications to the Goldbach conjecture | Num theory | 2016-12-05 15:30:00 | In this talk I discuss the problem ... |

Mr Jeffrey Lay | The maximal order of an element in the symmetric group | Num theory | 2016-12-05 16:00:00 | We trace the history of results concerned ... |

Mr Matthew Paul Skerritt | On the Extension of the PSLQ Algorithm to Algebraic Integers | Num theory | 2016-12-06 15:00:00 | Given a vector $(x_1,\dots, x_n)$ of real ... |

Ms Kirsty Anne Chalker | Bounding a sum involving the M\"{o}bius function | Num theory | 2016-12-07 12:00:00 | We will discuss bounding a sum involving ... |

Prof Peter Forrester | Invariant measures, volumes and random lattices | Num theory | 2016-12-07 10:30:00 | The invariant measures on the classical groups ... |

Yinan Zhang | Valuations of $p$-adic regulators of cubic cyclic fields | Num theory | 2016-12-05 17:00:00 | Despite its introduction by Leopoldt over 60 ... |