What’s on Display? (2015-2016 archive)

Currently, the departmental research display case showcases the research of the three professors newest to the department.

George Todd completed his Bachelor’s degree in mathematics at the
University of Texas and his Ph.D. at the University of Arizona. He
studies number theory in function fields, which is the world that
results when integers are replaced with polynomials in the classical
field of number theory. His current work is on understanding
relationships between Thakur multizeta values.
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Jeff Hatley received his Bachelor’s degree in mathematics at the College of New Jersey, and Ph.D. at the University of Massachusetts Amherst. He studies number theory, focusing on geometric objects such as elliptic curves and modular forms and on what they can tell us about algebraic questions (solutions to polynomial equations).
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Ellen Gasparovic received her Bachelor’s degree in mathematics with honors from the College of the Holy Cross and her Ph.D. from the University of North Carolina at Chapel Hill. In her research, she applies techniques from topology to problems in image recognition, machine learning, and geometric data modeling. On the image and shape analysis side, one of the main tools she uses is Blum’s medial axis, a skeleton-like topological structure that captures the shape and geometric properties of a region. For high-dimensional data, she applies “topological data analysis,” a relatively new approach to discovering global and local structure within a dataset and finding meaning in the “shape” of the data.
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(Please view last year’s display case here.)

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