Lola Thompson

Dartmouth College

picture

    Research

    My research interests lie in number theory, particularly in problems that have an elementary, analytic or combinatorial flavor. My thesis work, which is being completed under the direction of Carl Pomerance, concerns the arithmetic of polynomials in Z[x] and F_p[x].

    Publications

    [1] Heights of Divisors of x^n-1 [ PDF] [ Slides]
    Integers 11A , Proceedings of the Integers Conference 2009 (2011), article 20, p. 1-9.

    [2] Polynomials with divisors of every degree[ PDF] [ Slides]
    J. Number Theory 132 (2012), p. 1038 - 1053.

    [3] On the divisors of x^n-1 in F_p[x] [ PDF]
    Available on arXiv.

    [4] Practical pretenders [ PDF] (w/ P. Pollack)
    To appear in Publ. Math. Debrecen 82 (2013).

    [5] On the degrees of divisors of T^n-1 (w/P. Pollack)
    In preparation.

    [6] Products of distinct cyclotomic polynomials (Ph.D. thesis)
    In preparation.


Contact Information |

Research |

Teaching |

About Me |

CV


Last modified on Februar 18, 2012.