bio | website | math.uwaterloo.ca/~y28xiao |
---|---|---|

location | Waterloo, ON | |

age | 27 | |

visits | member for | 3 years, 11 months |

seen | yesterday | |

stats | profile views | 2,650 |

PHD Candidate in Pure Mathematics, University of Waterloo. I am being advised by Professor Cameron Stewart, FRSC.

I am interested in analytic number theory, prime number theory, transcendence theory, and power-free values of polynomials. In particular I work on problems involving applications and generalizations of the determinant methods pioneered by Bombieri/Pila, Heath-Brown, and Salberger, including the real analytic determinant method, the approximate determinant method of Heath-Brown, and the global determinant method of Salberger (an extension of the $p$-adic determinant method of Heath-Brown), as well as other potential variants.

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