“Power bases for cyclotomic integer rings,” *Journal of Number Theory* **69** (1998), 98-118.

“Power bases for 2-power cyclotomic fields,” *Journal of Number Theory* **88** (2001), 196-209.

“Heuristics for class numbers of prime-power real cyclotomic fields,” with Joe Buhler and Carl Pomerance, in *High Primes and Misdemeanours: Lectures in Honour of the 60th Birthday of Hugh Cowie Williams* (Banff, AB, 2003), 149-157, Fields Inst. Commun. **41**, Amer. Math. Soc., Providence, RI, 2004.

“Power bases for real cyclotomic fields,” with Laurel Miller-Sims (Smith College undergraduate), *Bull. Austral. Math. Soc.* **71** (2005), 167–173.

“Power bases for prime-power cyclotomic fields,” with István Gaál, *Journal of* *Number Theory ***120** (2006), 372-384.

"On Newman's conjecture and prime trees," with Ben Small (Seattle University undergraduate), *Integers* **9** (2009), 117-128.

“Monogeneity in cyclotomic fields,” *International Journal of Number Theory* **6** (2010), 1589-1607.