CoCalc Public Fileswww / papers / thesis / thesis.tex
Author: William A. Stein
Compute Environment: Ubuntu 18.04 (Deprecated)
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5% thesis.tex: Ph.D. thesis                             %
6% Copyright (c) 2000 by William A. Stein,              %
7% Department of Mathematics                            %
8% University of California, Berkeley                   %
9% [email protected]                                %
10% latex thesis
11% bibtex thesis
12% latex thesis
13% latex thesis
14% makeindex thesis.idx
15% latex thesis
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17% latex thesis;bibtex thesis;latex thesis;latex thesis;makeindex thesis.idx;latex thesis
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19
20%\documentclass[twoside,draft]{ucthesis}
21\documentclass[twoside]{ucthesis}
22%\documentclass{ucthesis}
23
24\voffset = 0.59375in
25\hoffset = -1mm
26%\hoffset=-.75mm
27
28\usepackage{makeidx}
29\makeindex
30\usepackage[all]{xy}
31\usepackage{graphicx}
32\include{tmacros}
33\newcommand{\thetitle}{Explicit approaches to modular abelian varieties}
34
35%\includeonly{bsd}
36
37%\includeonly{modsyms}
38%\includeonly{bsd, algorithms}
39%\includeonly{algorithms}
40%\includeonly{compgroup}
41
42\begin{document}
43\ssp      % remove for standard double-spaced thesis.
44\parindent=2em
45\CompileMatrices\UseTips
46
47
48 \title{\thetitle}
49\author{William Arthur Stein}
50\degreesemester{Spring}
51\degreeyear{2000}
52\degree{Doctor of Philosophy}
53\chair{Professor Hendrik Lenstra}
54\othermembers{Professor Bjorn Poonen\\
55  Professor Bin Yu}
56\numberofmembers{3}
57\prevdegrees{B.S. (Northern Arizona University) 1994}
58\field{Mathematics}
59\campus{Berkeley}
60
61\maketitle
62\approvalpage
63\copyrightpage
64
65\include{abstract}
66
67\begin{frontmatter}
68\addtocounter{page}{-2}
69\begin{dedication}
70\null\vfil
71{\large
72\begin{center}
73To my parents and my grandmother, Annette Maurer.
74%To those who inspired me: Kevin Buzzard,
75%Robert Coleman, Hendrik Lenstra, Barry Mazur,
76%Lo\"\i{}c Merel, Ken Ribet, and my family.\\\vspace{12pt}
77\end{center}}
78\vfil\null
79\end{dedication}
80
81\tableofcontents
82\listoffigures
83\listoftables
84\include{symbols}
85
86\begin{acknowledgements}
87It is a pleasure to thank my thesis adviser, Hendrik Lenstra, for
88patiently guiding my intellectual development in innumerable ways.  In
89addition, Robert Coleman, Barry Mazur, and Ken Ribet generously shared
90their countless ideas and unbounded enthusiasm with me.  Robert helped
91me to understand $p$-adics, Barry taught me to visualize
92Shafarevich-Tate groups, and Ken explained congruences, component
93groups, and tutored me in the elusive art of mathematical exposition.
94
95This thesis would not have been possible without the questions that
96arose out of exhilarating collaborations with Amod Agashe, Kevin Buzzard,
97Lo\"\i{}c Merel, David Moulton, Ed Schaefer, Helena Verrill, and Joe
98Wetherell.  I would like to thank Ahmed Abbes, Matt Baker, Brian
99Conrad, J\'anos Csirik, Jordan Ellenberg, Edray Goins, David Jones,
100Ezra Miller, Bjorn Poonen, and Mak Trifkovic for asking and answering
101many stimulating questions.
102
103I wish to thank Hendrik Lenstra and Ken Ribet for providing
104me with financial support during part of the writing of this thesis,
105Sarah M.~Hallam for providing further support, the {\tt
106Cal@SiliconValley} university fellowship for supporting me throughout
107my final year, and the \magma{} group for their computational support.
108
109Finally, I would like to thank Bjorn Poonen for thoroughly reading this
110thesis and pointing out many ways in which it could be improved.
111\end{acknowledgements}
112
113
114\end{frontmatter}
115
116\pagestyle{headings}
117
118\setcounter{page}{1}
119% Preface
120\include{preface}
121% Chapter 1
122\include{bsd}
123% Chapter 2
124\include{modsyms}
125% Chapter 3
126 \include{algorithms}
127% Chapter 4
128 \include{compgroup}
129
130\bibliographystyle{amsplain}
131\bibliography{biblio}
132
133\printindex
134
135\end{document}
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