Undergraduate Mathematics Students

Undergraduate research presentations

Undergraduate research presentations are today at 2:30 in HA 330.
They will be followed by refreshments at 3:30 in HA 245.
If your schedule permits, please, come to the talks, as well as encourage interested students to come.


Below are the titles and the abstracts of the talks:

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Ralph Abbey: " Computational Data Clustering and Mining"
Abstract: As the ease of collecting large amounts of data increases, the ability to distil useful information out of
these large datasets becomes significantly more important. The research investigated current
clustering algorithms and experimented with modifications on those algorithms, as well as a look into new approaches.
These algorithms were then tested on benchmark document sets. In many cases, the adaptations to pre-existing algorithms performed better than the basic algorithm.

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Jacob Frelinger: "Homing endonuclase genes effects on Hardy-Weinberg: models to
combat dengue fever transmission in A. aegytpi "
Abstract: Homing endonuclease genes offer an option in controlling dengue fever transmission in A. aegytpi, as well as controlling other
diseases in other hosts, or controlling pest populations. By understanding the effects of homing endonuclease genes on
Hardy-Weinberg, methods to control pest populations and hence the infectious diseases they carry become apparent.
Several potential situations are modeled in software at the population gene level and results analyzed.

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Eric Lownes: "The Heat Kernel of Homesick Random Walks on K-Regular Trees"
Abstract: Certain types of homesick random walks were introduced by Lyons
to estimate the growth of groups. For such a random walk on a k-regular
tree, we compute its Laplacian and its heat kernel. Our methods are based
on the use of combinatorial coverings as introduced by Chung and Yau.
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Posted at 12:41PM Nov 28, 2007 by scroggs in General  |  Comments[0]