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Dissertation/Thesis Abstract

On Elliptic Curves, the ABC Conjecture, and Polynomial Threshold Functions
by Kane, Daniel Mertz, Ph.D., Harvard University, 2011, 334; 3462779
Abstract (Summary)

We present a number of papers on topics in mathematics and theoretical computer science. Topics include: a problem relating to the ABC Conjecture, the ranks of 2-Selmer groups of twists of an elliptic curve, the Goldbach problem for primes in specified Chebotarev classes, explicit models for Deligne-Lusztig curves, constructions for small designs, noise sensitivity bounds for polynomials threshold functions, and pseudo-random generators for polynomial threshold functions.

Indexing (document details)
Advisor: Mazur, Barry
School: Harvard University
School Location: United States -- Massachusetts
Source: DAI-B 72/09, Dissertation Abstracts International
Subjects: Applied Mathematics, Computer science
Keywords: ABC Conjecture, Elliptic curves, Gold, Polynomial threshold functions, Spherical design
Publication Number: 3462779
ISBN: 978-1-124-73680-8
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