I'm a graduate student in mathematics at the University of Georgia studying under the direction of Paul Pollack. My interests are mostly in the realm of (elementary/analytic) number theory.


E-mail: ltroupe (at) math (dot) uga (dot) edu
Office: Boyd 427G
Phone: (706) 542-2722


On the number of prime factors of values of the sum-of-proper-divisors function (pdf)
    J. Number Theory 150C (2015) pp. 120-135

Bounded gaps between prime polynomials with a given primitive root (pdf)
    Finite Fields and Their Applications, to appear

Orders of reductions of elliptic curves with many and few prime factors (pdf)


Slides from talks

    Conference in Honor of Carl Pomerance's 70th Birthday, June 2015

    UGA Graduate Student Seminar, November 2014
    (warning: TikZ diagram is somewhat illegible in handout mode)

    AMS Sectional Meeting at UNC-Greensboro, November 2014