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
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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
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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
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Conjugacy and the 3x+1 Conjecture
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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
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The Collatz Conjecture: A Conjugacy Approach by James T Long III
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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.
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Explorations of the Collatz Conjecture by Kelly Latourette
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I advised Kelly in her honors project which she completed in December of 2007.