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Mathematical Sciences

Student Research Talks

Date: 3:30pm - 4:30pm PST February 1, 2018 Location: John Howard 254

John Howard 254

Students will present their research

Constant Vector Curvature for Skew-Adjoint and Self-Adjoint Canonical Algebraic Curvature Tensors
by Mack Beveridge
Senior Computer Science and Mathematics major

This research explores the property of constant vector curvature on model spaces with curvature tensors constructed from skew-adjoint and self-adjoint linear transformations.  Constant vector curvature has been studied for general curvature tensors in the past, but only in the 3-dimensional case.  For this reason we look at these specific cases to try to generalize results in higher dimensions.  We determine the constant vector curvature for all tensors constructed from skew-adjoint linear transformations, some cases of tensors constructed from self-adjoint linear transformations, and we find some general results about constant vector curvature.

Visible Light Localization and Communication
by Adriana Rogers
Junior Computer Science and Mathematics major

How can we create a more sophisticated QR code or improve the way GPS works indoors? Come learn about electrical engineering and computer science research using visible light! We’ll talk about the implications visible light technology could have for the Internet of Things and everyday life in the future. 



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