Ken Monks's Undergraduate Student Research Program Information
In 1991 the University of Scranton created an Undergraduate Faculty-Student Research Program (FSRP) designed to allow undergraduates to gain research experience for transcript recognition, with no fee or credits involved. Participation in the program has been strictly voluntary for both the students and the faculty. The University also has an Honors Program in which students do independent study culminating in a senior thesis. There are also in-house competetive grants for funding undergraduates to do research over the summer.
In mathematics, I have directed several student research projects. Their work has resulted in the following student papers.
Student Papers
- Kraft, Benjamin & Monks, Keenan (my son), On Conjugacies
of the 3x+1 Map Induced by Continuous Endomorphisms of the Shift
Dynamical System, Discrete Mathematics, Vol. 310 (2010),
1875-1883.
Get: [the paper in pdf format]
Ben and
Keenan's paper was published in the journal Discrete
Mathematics!
- Monks, Maria (my daughter), Endomorphisms of the shift
dynamical system, discrete derivatives, and applications.,
Discrete Mathematics, Vol. 309, Issue 16 (2009), 5196-5205.
Get: [the paper in pdf format]
Maria's
paper was published in the journal Discrete Mathematics!
- Monks, Ken M. (my son), The Sufficiency of Arithmetic
Progressions for the 3x+1 Conjecture, Proc. Amer. Math. Soc.,
134 (10), October (2006), 2861-2872
Get: [the paper in pdf format]
Ken's
paper was published in the Procedings of the American Mathematical
Society journal!
- Yazinski, Jonathan, Pseudoperiodicity and the 3x+1 Congjugacy
Function, honor's thesis, Spring 2003
Get: [the paper in dvi format] , [the paper in pdf format]
- Riggi, Carla, Hutchinson Operators in
R3, honor's thesis, Spring 2001
Get: [the paper in dvi format] , [the paper in pdf format]
Carla also wrote some 3d fractal software in Maple:
Get: [the Maple Source code for Chaos3d] and [the Maple help file for Chaos3d]
- Kucinski, Gina, Cycles for the 3x+1 Map on the
Gaussian Integers, preprint
Get: [the paper in dvi format] , [the paper in pdf format]
- Fraboni, Mike, Conjugacy and the 3x+1 Conjecture,
preprint
Get: [the paper in dvi format] , [the paper in pdf format]
Mike's paper is the winner of the 1998 MAA EPADEL
section Student Paper Competition.
Congratulations, Mike!
- Fusaro, Marc, A Visual Representation of Sequence Space,
Pi Mu Epsilon Journal, Pi Mu Epsilon Journal 10 (6), Spring 1997,
466-481
Get: [the paper in dvi format] , [the paper in pdf format]
Marc's paper is the winner of the 1997 MAA EPADEL
section Student Paper Competition.
Congratulations, Marc!
Marc's
paper was also awarded a 1997 Richard V. Andree award after the
officers and councilors of Pi Mu Epsilon judged it to be one of the
best three papers to have appeared in the Pi Mu Epsilon Journal
during 1997.
Congratulations again to Marc!
[Note: The dvi file includes text, but no figures. If you wish to see the figures print the pdf.]
- Joseph, John, A Chaotic Extension of the 3x+1 Function to
Z2[i], Fibonacci Quarterly,
36.4 (Aug 1998), 309-316
Get: [the paper in dvi format] , [the paper in pdf format]
You can also get a longer, more detailed version of John's paper in pdf format.
John's
paper is the winner of the 1996 MAA EPADEL section Student Paper
Competition.
Congratulations, John!
- Farruggia, C., Lawrence, M., Waterhouse, B., The Elimination
of a Family of Periodic Parity Vectors in the 3x+1 Problem, Pi
Mu Epsilon Journal, 10 (4), Spring (1996), 275-280
Get: [the paper in dvi format] , [the paper in pdf format]
Their paper was awarded a 1996 Richard V. Andree award after
the officers and councilors of Pi Mu Epsilon judged it to be one of
the best four papers to have appeared in the Pi Mu Epsilon Journal
during 1996.
Congratulations, Carolyn, Mike, and Brian!
If you are a student at the University of Scranton and might be
interested in doing such a project, please contact Ken Monks for
further information.
