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Research Opportunities for Undergradates



Analysis of the Currency Markets

In this project the currency exchange market will be analyzed from a network theoretic point of view. Necessary skills include some basic statistics and ability to mine relevant data from the web using the appropriate software.

Advisors: Professors Rockmore, Pauls, and Leibon.

Minimal surfaces in the rototranslation group

Recently, there has been a great deal of interest in the study of minimal surfaces in a new setting, that of sub-Riemannian geometry. Projects in this area would include extending and developing techniques for the construction of minimal surfaces in the roto-translation group.

More information/requirements

Advisor: Prof. Pauls

Applications of minimal surface theory to the neuroscience of vision

Interest in minimal surfaces in the rototranslation group stem from, in a large part, a new model of the function of the primary visual cortex. Building on work of Patrick Karas '07, we wish to develop perceptual tests and predictions from this model for the purposes of validation and revision.

More information/requirements

Advisor: Prof. Pauls

Minimal surface theory and digital image processing

A new model of the function of primary visual cortex via minimal surface theory provides a new approach to problems in digital image reconstruction. In this project, students would develop and implement (in MATLAB) image disocclusion algorithms based on this model.

More information/requirements

Advisor: Prof. Pauls

[Past projects]