Michael Fraboni's Page

Current Courses

I am on sabbatical for the fall of 2009.

Research

Maximum graphs with unique minimum dominating set of size two
with Nathan Shank here at Moravian College, to appear in the Australasian journal of Combinatorics.
Strong q-Convexity in Uniform Neighborhoods of Subvarieties in Coverings of Complex Spaces
a joint paper with Terrence Napier from Lehigh University to appear in Mathematische Zeitschrift.
Fractals in the Classroom
a joint paper with Trisha Moller appearing in Mathematics Teacher, volume 102, no. 3 (October 2008).
Culture Points: Engaging students outside the classroom
a joint paper with Kevin Hartshorn from Moravian College which appeared in PRiMUS, Volume XVII(2), pages 117-124 (2007).
q-Convexity Properties of Coverings of Complex Manifolds
appeared in Mathematische Zeitschrift, Volume 254, Number 3 / November, 2006, pages 553-566
Conjugacy and the 3x+1 Conjecture
My paper about the 3x+1 problem (also known as the Collatz Conjecture). It was written as an undergraduate research project at the University of Scranton with Ken Monks.

Student Work

The Collatz Conjecture: A Conjugacy Approach by James T Long III
I advised Jamie in his honors project which he completed in December of 2008. In addition, he presented a chapter of his thesis at the 2008 Midstates Conference on Undergraduate Research in Mathematics and Computer Science where it is published in the conference proceedings.
Explorations of the Collatz Conjecture by Kelly Latourette
I advised Kelly in her honors project which she completed in December of 2007.

mfraboni @ moravian .edu