Leanne Robertson

Seattle University
Mathematics Department
901 12th Avenue
Seattle, Washington 98122-1090

I received my B.A. from Reed College in 1989, and my Ph. D. from University of California at Berkeley in 1995. Before coming to Seattle University in 2007, I taught at Haverford, Lewis & Clark, and Smith Colleges. My research interests are in algebraic number theory, particularly on power bases and class numbers for cyclotomic fields. Recently, however, I have been working on a problem with a student collaborator on prime trees and coprime mappings that lies at the intersection of Number Theory and Graph Theory.

Current Classes (Fall 2008):

MATH 107: Mathematical Reasoning and its Applications Syllabus Homework assignments

MATH 130: Calculus for Business Syllabus Homework assignments

Publications:

“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), preprint.