Research [back]

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Preprints
The dynamics of super-Apollonian continued fractions, (arxiv), to appear in Transactions of the AMS.
Badly appoximable numbers over imaginary quadratic fields, (arxiv), to appear in Acta Arithmetica.
Examples of badly approximable vectors over number fields, (arxiv)

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Slides
Slides from a talk on "super-Apollonian continued fractions"
Slides from a talk on "badly approximable numbers over imaginary quadratic fields"
Slides from a talk on "examples of badly approximable vectors over number fields"

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PhD thesis
Applications of hyperbolic geometry to continued fractions and Diophantine approximation
Slides from my defense

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Robert Hines MATH 340 robert.hines@colorado.edu