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Author: William A. Stein
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% thesis.tex: Ph.D. thesis %
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% Copyright (c) 2000 by William A. Stein, %
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% Department of Mathematics %
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% University of California, Berkeley %
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% [email protected] %
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[twoside,draft]{ucthesis}
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\usepackage[all]{xy}
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\usepackage{graphicx}
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\include{tmacros}
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\newcommand{\thetitle}{Explicit approaches to modular abelian varieties}
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\begin{document}
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\CompileMatrices\UseTips
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\title{\thetitle}
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\author{William Arthur Stein}
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\degreesemester{Spring}
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\degreeyear{2000}
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\degree{Doctor of Philosophy}
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\chair{Professor Hendrik Lenstra}
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\othermembers{Professor Bjorn Poonen\\
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Professor Bin Yu}
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\numberofmembers{3}
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\prevdegrees{B.S. (Northern Arizona University) 1994}
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\field{Mathematics}
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\campus{Berkeley}
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\maketitle
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\approvalpage
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\copyrightpage
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\include{abstract}
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\begin{frontmatter}
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\begin{dedication}
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\null\vfil
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{\large
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\begin{center}
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To those who inspired me: Kevin Buzzard,
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Robert Coleman, Hendrik Lenstra, Barry Mazur,
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Lo\"\i{}c Merel, Ken Ribet, and my family.\\\vspace{12pt}
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\end{center}}
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\vfil\null
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\end{dedication}
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\tableofcontents
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\listoffigures
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\listoftables
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\include{symbols}
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\begin{acknowledgements}
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It is a pleasure to thank Hendrik Lenstra, who guided me in
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numerous ways from the beginning to the end.
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Robert Coleman, Barry Mazur, and Ken Ribet gave me much invaluable
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advice and direction.
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Much of this work would not have been possible without the questions
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that arose in my collaborations with Amod Agash\'e, Kevin Buzzard,
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Lo\"\i{}c Merel, David Moulton, Ed Schaefer, Helena Verrill, and
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Joe Wetherell.
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Finally, I would like to thank
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Matt Baker, Brian Conrad, Janos \'{C}sirik, Edray Goins,
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David Jones, Ezra Miller, Bjorn Poonen
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for asking and answering many questions.
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\end{acknowledgements}
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\end{frontmatter}
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\pagestyle{headings}
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\maketitle
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\setcounter{page}{1}
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% Preface
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\include{preface}
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% Chapter 1
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\include{modsyms}
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% Chapter 2
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\include{algorithms}
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% Chapter 3
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\include{quotients}
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% Chapter 4
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\include{compgroup}
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% Chapter 5
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\include{vissha}
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\bibliographystyle{amsalpha}
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\bibliography{biblio}
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\end{document}
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