My Research Interests Page

Computational Fusion

HOSVD for gesture recognition in smartphones. I received a Mary Gates' Research Scholarship for this and will present my research at the UW's Spring Undergraduate Research Symposium.
My application for the scholarship (pdf).
A paper is forthcoming. (Submitting the end of Winter/Spring 2012)

Biharmonic Operators. I looked into these over the break. I will upload my code shortly.
Radial Basis Decompositions. Still reading and experimenting.

Face Recognition: I spent two quarters studying this. I investigated using curvelets to denoise the image prior to the standard eigendecomposition. (Paper {PDF}, EE 568 Presentation {PDF})
Image Segmentation. I studied the theoretical underpinnings of Mumford-Shah segmentation during my calculus of variations course. I summarized this in a presentation (Presentation {PDF}). The following summer, I studied image segmentation during a summer research project at the Technion in Haifa, Israel. I researched Active Contour and Snakes Methods. I worked on implementing a polygonal approximation in MATLAB. (Presentation {PDF} , Poster {PDF})

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My final presentation for MATH 581d. I discussed FFTs in Sage. (Slides {PDF}). This work was the catalyst for me to study wavelets to X-lets, where I was really inspired by basis transformations, domain decompositions, integral transforms, and approximation.

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I researched LLE from Fall 2008 to Spring 2009 under Professor Andrew Connolly through Pre-MAP(my cohort) in the astronomy department. I was advised by Jake VanderPlas and Sarah Loebman.
I presented my research at the 2009 SACNAS conference.
(Slides [PDF], poster [PDF])

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My remaining quarters at UW are filled with elementary courses that I have waited until the end to take. My time and brain are open! I really would like to be involved in either Fusion, Solar, and/or Wind research and everywhere I have applied reflects that. Most importantly, I am looking for interesting mathematical problems whose solution involves large-scale computing or allows parallelization.