I'm a recent (May 2016) Ph.D. graduate of the University of Georgia. I studied under the direction of Paul Pollack. My interests are mostly in the realm of (elementary/analytic) number theory.

Starting in the fall of 2016, I'll be a postdoctoral fellow in the mathematics department at the University of British Columbia.

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


Papers

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 37 (2016) pp. 295-310

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

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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