BYU

Abstract by Zachary Hacking

Personal Infomation


Presenter's Name

Zachary Hacking

Co-Presenters

Amy Woodall

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Nick Andersen

Title

Shortcuts in Diophantine Approximations, Part 2

Abstract

This is the second half of a talk that discusses Diophantine approximations and improvements to them as outlined by Dirichlet's approximation theorem and subsequent results. In this half, we reframe the problem of approximation as finding points within a lattice defined by the target irrational. We show how this method helps in generating good approximations by introducing the L^p unit ball. We conjecture about how even better approximations may be generated by adjustments to this method.
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