Matrix Representations of Path Algebras
April 18th, 2009Given a directed graph with a finite number of vertices and edges, a path algebra can be produced from the linear combinations of vertices and paths. Read More…
Student Symposium Abstracts
For abstract titles only, organized by year, see our Abstracts by Year page. You may also search the abstract archives by discipline or by using the search tool to the left.
Terahertz Spectroscopy of CdSe Quantum Dots
April 18th, 2009My project was on the terahertz spectroscopy of undoped, tin doped and indium doped CdSe Quantum dots. Read More…
Unfolding a Three Dimensional Sierpinski Gasket
April 29th, 2008Many mathematicians and scientists have tried to visualize four dimensional space. I tried to visualize a four dimensional sierpinski pyramid and construct a three dimensional projection of the four dimensional pyramid. Read More…
Genetics and Statistics: My Internship at TGen
April 14th, 2007Last October and November I completed an internship at the Translational Genomics Research Institute (TGen) in Phoenix, Arizona. The internship was created and supported by Dimensions, based on the ideas of Dr. Candice Nulsen (’ 94). Read More…
Predicting Dispersal of the Dogbane Beetle in a Fragmented Landscape
April 14th, 2007This project is an extension of the research being done by our visiting Assistant Professor of Mathematics, Fabián Candelaria. Its purpose was to take data previously collected about the dogbane beetle and create a computer program that could project the dispersal patterns of the beetle over its lifetime. Read More…
The Origin of Euler’s Gamma Function Research
April 14th, 2007It is common knowledge in the mathematical community that Leonhard Euler discovered the Gamma Function between late 1729 and early 1730. What is unique about this result is that it is an extremely early example of what seems to be math for mathematics sake; the applications of the function were not discovered until much later. Read More…
Privacy Preserving Data Set Union
April 14th, 2007This program is an implementation of an algorithm designed by Segre et.al. [1]. It follows a protocol intended to combine two datasets by their confidential identifiers, removing all the duplicate records without revealing the identifiers. Read More…
Foucault Pendulum
April 29th, 2006The Foucault Pendulum is arguably one of the most beautiful demonstrations in physics. As the pendulum swings, the earth rotates underneath. Read More…
Quantitative Analysis of Wing Pattern: A Tool for Distinguishing Among Cryptic Sympatric Species
April 29th, 2006As part of an ongoing study of the evolution of Blepharoneura, a neotropical genus of highly host-specific tephritid fruit flies, we are discovering extraordinary levels of diversity. Read More…
Ruby Pulse Laser and Holograms
April 29th, 2006The ruby laser is a pulse laser with a very short pulse (a few nanoseconds) allowing us to make holograms of less stationary objects. Read More…