CoCalc Public Fileswww / papers / thesis-old / thesis.tex
Author: William A. Stein
Compute Environment: Ubuntu 18.04 (Deprecated)
1%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2% thesis.tex: Ph.D. thesis                             %
3% Copyright (c) 2000 by William A. Stein,              %
4% Department of Mathematics                            %
5% University of California, Berkeley                   %
6% [email protected]                                %
7%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
8
9\documentclass[twoside,draft]{ucthesis}
10
11\usepackage[all]{xy}
12\usepackage{graphicx}
13\include{tmacros}
14\newcommand{\thetitle}{Explicit approaches to modular abelian varieties}
15
16\begin{document}
17\CompileMatrices\UseTips
18
19
20\title{\thetitle}
21\author{William Arthur Stein}
22\degreesemester{Spring}
23\degreeyear{2000}
24\degree{Doctor of Philosophy}
25\chair{Professor Hendrik Lenstra}
26\othermembers{Professor Bjorn Poonen\\
27  Professor Bin Yu}
28\numberofmembers{3}
29\prevdegrees{B.S. (Northern Arizona University) 1994}
30\field{Mathematics}
31\campus{Berkeley}
32
33\maketitle
34\approvalpage
36
37\include{abstract}
38
39\begin{frontmatter}
40
41\begin{dedication}
42\null\vfil
43{\large
44\begin{center}
45To those who inspired me: Kevin Buzzard,
46Robert Coleman, Hendrik Lenstra, Barry Mazur,
47Lo\"\i{}c Merel, Ken Ribet, and my family.\\\vspace{12pt}
48\end{center}}
49\vfil\null
50\end{dedication}
51
52\tableofcontents
53\listoffigures
54\listoftables
55\include{symbols}
56
57\begin{acknowledgements}
58It is a pleasure to thank Hendrik Lenstra, who guided me in
59numerous ways from the beginning to the end.
60Robert Coleman, Barry Mazur, and Ken Ribet gave me much invaluable
62Much of this work would not have been possible without the questions
63that arose in my collaborations with Amod Agash\'e, Kevin Buzzard,
64Lo\"\i{}c Merel, David Moulton, Ed Schaefer, Helena Verrill, and
65Joe Wetherell.
66Finally, I would like to thank
67Matt Baker, Brian Conrad, Janos \'{C}sirik, Edray Goins,
68David Jones, Ezra Miller, Bjorn Poonen
70\end{acknowledgements}
71
72
73\end{frontmatter}
74
76\maketitle
77
78\setcounter{page}{1}
79
80% Preface
81\include{preface}
82% Chapter 1
83\include{modsyms}
84% Chapter 2
85\include{algorithms}
86% Chapter 3
87\include{quotients}
88% Chapter 4
89\include{compgroup}
90% Chapter 5
91\include{vissha}
92
93\bibliographystyle{amsalpha}
94\bibliography{biblio}
95
96\end{document}
97
98