% LaTeX template file for a UC Davis Mathematics Ph.D. Dissertation


% The UC Davis Dissertation Formatting Requirements can be found at
% http://www.gradstudies.ucdavis.edu/students/filing.html


% SPECIFY AN APPROPRIATE DOCUMENT CLASS WITH APPROPRIATE OPTIONS:
\documentclass[letterpaper, 12pt, oneside]{book}

    
% SPECIFY THE PAGE AND HEADER FORMATTING (which is completely a hack):
    \usepackage[left=108pt, right=74pt, top=108pt, bottom=81pt, dvips, pdftex]{geometry}
    
    \usepackage{fancyhdr} % See this package's documentation for more
    \pagestyle{fancy}     % information about the following commands
    \renewcommand{\sectionmark}[1]{\markright{\thesection.\ #1}}
    \fancyhf{}
    \fancyhead[R]{\thepage}
    \fancyhead[L]{\rightmark}
    \renewcommand{\headrulewidth}{0pt} % change this to put a line between
                                       % the header and the main text
    
    % The following command sets the name of the Bibliography:
    \renewcommand{\bibname}{References}

    
    % EXTREMELY COMMON LaTeX PACKAGES TO INCLUDE:
    \usepackage{amsmath,amsthm, amsfonts,amssymb} % For AMS Beautification
    \usepackage{setspace} % For Single & Double Spacing Commands
    \usepackage[linktocpage,bookmarksopen,bookmarksnumbered,% For PDF navigation
                pdftitle={UC Davis Ph.D. Doctoral Thesis},%   and URL hyperlinks
                pdfauthor={Department of Mathematics},%
                pdfsubject={UC Davis Ph.D. Doctoral Thesis},%
                pdfkeywords={UC Davis Ph.D. Doctoral Thesis}]{hyperref}
    
    % SOME SLIGHTLY LESS COMMON LaTeX PACKAGES TO INCLUDE 
    % (uncomment as necessary)
%     \usepackage{graphicx} % For including and formatting image files
%     \usepackage{pstricks, pst-plot} % For creating images & figures
%     \usepackage[vcentermath]{youngtab} % For typesetting Young Tableaux

    % COMPLETELY OPTIONAL LaTeX PACKAGES TO INCLUDE:
    % (uncomment as necessary)
%     \usepackage{lineno} % For Line Numbering
%     \usepackage{appendix} % For Control of Appendix Numbering & Location

    
    % DEFINE SOME USEFUL THEOREMS, ENVIRONMENTS, ETC.:
    \newtheorem{Theorem}{Theorem}[section]
    \newtheorem{Proposition}[Theorem]{Proposition}
    \newtheorem{Lemma}[Theorem]{Lemma}
    \newtheorem{Corollary}[Theorem]{Corollary}
    \theoremstyle{definition}
        \newtheorem{Definition}[Theorem]{Definition}
        \newtheorem{Example}[Theorem]{Example}
        \newtheorem{Conjecture}[Theorem]{Conjecture}
        \newtheorem{Problem}[Theorem]{Problem}
        \newtheorem{Algorithm}[Theorem]{Algorithm}
        \newtheorem{CardGame}[Theorem]{Card Game}
        \newtheorem{Strategy}[Theorem]{Strategy}
        \newtheorem{Question}[Theorem]{Question}
    \theoremstyle{remark}
        \newtheorem{Remark}[Theorem]{Remark}
    \newenvironment{Sketch}{\par\noindent{\sc Sketch of Proof}\quad}{\hfill\qed\par\smallskip}
    \newenvironment{Proof}{\par\noindent{\sc Proof}\quad}{\hfill\qed\par\smallskip}
    \newenvironment{ReuseTheorem}[2]{\par\vspace{12pt}\noindent{\bf #1~\ref{#2}$'$.}\it}{\par\vspace{12pt}}
    \newenvironment{RestateTheorem}[2]{\par\vspace{12pt}\noindent{\bf #1~\ref{#2}.}\it}{\par\vspace{12pt}}

    % DETERMINE HOW EXTENSIVELY TO NUMBER EQUATIONS AND FIGURES:
    \numberwithin{equation}{section}
    \numberwithin{figure}{section}
    
    
    % DEFINE NEW ANY COMMANDS (for your own convenience):
    \newcommand{\n}{\vspace{12pt}} % for typesetting line breaks with 12
                                   % Postscript points of extra whitespace
      
    \newcommand{\newchapter}[3] % for typesetting new chapters with the
	{                           % correct initial page numbering style
        % Arguments: (#1) Short name for chapter, which is used in 
        %                 any running headers
        %            (#2) Medium length name for chapter, which is
        %                 used in the table of contents
        %            (#3) Long name for chapter, which is typeset at 
        %                 the starting the chapter
        \chapter[#2]{#3}
        \chaptermark{#1}
        \thispagestyle{myheadings}
	}


\begin{document}
    
    % Toggle commenting the following command out in order to toggle 
    % the inclusion of line numbering (this requires the ``lineno'' 
    % package to be includes above):
%     \linenumbers
    

    % The following commands produce page numbering at the bottom
    % center using roman numerals per UC Davis requirements for the
    % front matter of the dissertation:
    \pagenumbering{roman}
    \pagestyle{plain}
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- TITLE PAGE


    % The following command produces single-spaced lines for the title page:
    \singlespacing

    ~\vspace{-0.75in} % to force the title up a bit higher
    \begin{center}

        \begin{huge}
            [Insert Dissertation Title, which can be as long as you 
            think it needs to be]
        \end{huge}\\\n
        By\\\n
        {\sc [Insert Your Full Name]}\\
        B.S. ([Insert Undergrad Institution]) [Insert Appropriate Year]\\
        M.A. ([Insert Institution or Delete as Appropriate]) [Insert Appropriate Year]\\\n
        DISSERTATION\\\n
        Submitted in partial satisfaction of the requirements for the degree of\\\n
        DOCTOR OF PHILOSOPHY\\\n
        in\\\n
        MATHEMATICS\\\n
        in the\\\n
        OFFICE OF GRADUATE STUDIES\\\n
        of the\\\n
        UNIVERSITY OF CALIFORNIA\\\n
        DAVIS\\\n\n
        
        Approved:\\\n\n
        
        \rule{4in}{1pt}\\
        ~[Insert Name of Your Advisor] (Chair)\\\n\n
        
        \rule{4in}{1pt}\\
        ~[Insert Name of Committee Member]\\\n\n
        
        \rule{4in}{1pt}\\
        ~[Insert Name of Committee Member]\\
        
        \vfill
        
        Committee in Charge\\
        ~[Insert Graduation Year]

    \end{center}

    \newpage
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- COPYRIGHT PAGE
        
    % The following commands create a copyright notice page. This 
    % page can be deleted if you would prefer to not include it.
        

    ~\\[7.75in] % to place the copyright near the bottom of the page
    \centerline{
                \copyright\ [Insert Your Name],
                            [Insert Graduation Year]. All rights reserved.
               }
    \thispagestyle{empty}
    \addtocounter{page}{-1}

    \newpage
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- DEDICATION PAGE
    
    % The following command inserts a nice dedication to whomever you
    % feel is appropriate.  This page can be deleted if you would
    % prefer to not include it.
    \centerline{[Insert To Whom You Wish to Dedicate Your Dissertation]}
    
    \newpage


    % The following command produces double-spaced lines for the
    % remainder of the document:
    \doublespacing
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- TABLE OF CONTENTS
    
    % The following command creates the table of contents:
    \tableofcontents
    
    % The following command, though it follows the above 
    % ``\tableofcontents'' command, actually causes the Table of 
    % Contents to start on a new page:
    \newpage
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- ABSTRACT
    
    % Toggle the commenting of the following command in order to
    % include a page number.  The purpose of this is to allow the
    % create an autonomous Abstract Page per University Requirements.
    % 
    % Note that the page numbering style for the autonomous Abstract 
    % Page needs to be adjusted. See the Grad Studies website.
%      \thispagestyle{empty}

    ~\vspace{-1in} % to force the attribution text up a bit higher
    \begin{flushright}
        \singlespacing
        [Insert Your Name]\\
        ~[Insert Month of Your Graduation] [Insert Year of Your Graduation]\\
        Mathematics
    \end{flushright}

    \centerline{\large [Insert Dissertation Title]}
    
    \centerline{\textbf{\underline{Abstract}}}
    
        % Either type your Abstract Text here or input a file 
        % containing it:
        \input{lorem_ipsum}
    
    \newpage
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- ACKNOWLEDGMENTS

    \chapter*{\vspace{-1.5in}Acknowledgments and Thanks}
    % the vspace command forces the title up a bit higher 

        % Either type your Acknowledgments Text here or input a file 
        % containing it:
        \input{lorem_ipsum}
    
    \newpage
    
       
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- BEGIN TEXT OF THESIS


    % The following commands produce page numbering at the top right
    % using arabic numerals per UC Davis requirements for the main
    % text of the dissertation:
    \pagestyle{fancy}
    \pagenumbering{arabic}
       
    % %------------------------------------------------------------------------------
    % 
    % %--------------------------------------------------------------- NEW CHAPTER --
    %
    % % -- INTRODUCTION

    \newchapter{Introduction}{Introduction}{Introduction}
    \label{sec:Intro}


        % Either type your Introduction here or input a file 
        % containing it using the ``\input'' command.
        
        % You will probably want to split your chapter up into several
        % sections (with each section possibly even split up into
        % subsections), each of which can either be written directly
        % in this file or input from an external file as above.
        %
        % Suggested sections for your introduction include a general 
        % overview (with historical motivation as appropriate) and a 
        % summary of your main results. E.g.:
    
        \section[Informal Overview and Historical Motivation]{Informal Overview and Historical Motivation}
        \label{sec:Intro:Motivation}
        
            \subsection[Short title for Subsection One]{Subsection One of Informal Overview}
            \label{sec:Intro:Motivation:Part1}
            \input{lorem_ipsum}
        
            \subsection[Short title for Subsection Two]{Subsection Two of Informal Overview}
            \label{sec:Intro:Motivation:Part2}
            \input{lorem_ipsum}
            
            %  ...
        
            \subsection[Short title for Subsection $n$]{Subsection $n$ of Informal Overview}
            \label{sec:Intro:Motivation:Partn}
            \input{lorem_ipsum}
        
        \section{Summary of the Main Results}
        \label{sec:Intro:Summary}
            \input{lorem_ipsum}
        
        
        
    % %------------------------------------------------------------------------------
    % 
    % %--------------------------------------------------------------- NEW CHAPTER --
    %
    % % -- [INSERT TITLE OF CHAPTER TWO]

    \newchapter{SHORT CHAPTER TITLE}{MEDIUM LENGTH CHAPTER TITLE}{LONG CHAPTER TITLE}
    \label{sec:LabelForChapter2}


        % Either type your chapter's text here or input a file 
        % containing it using the ``\input'' command.
        
        % You will probably want to split your chapter up into several
        % sections (with each section possibly even split up into
        % subsections), each of which can either be written directly
        % in this file or input from an external file as above. E.g.:
    
        \section[Short Title for Section One]{Long Title for Section One}
        \label{sec:LabelForChapter2:Section1}
        \input{lorem_ipsum}
    
        \section[Short Title for Section Two]{Long Title for Section Two}
        \label{sec:LabelForChapter2:Section2}
        \input{lorem_ipsum}
            
        %  ...
    
        \section[Short Title for Section $n$]{Long Title for Section $n$}
        \label{sec:LabelForChapter2:Sectionn}
        \input{lorem_ipsum}
        
        % You should repeat this portion for each additional chapter 
        % as it's appropriate to your dissertation.
        
        
        
    % %------------------------------------------------------------------------------
    % 
    % %--------------------------------------------------------------- NEW CHAPTER --
    %
    % % -- [INSERT TITLE OF CHAPTER THREE]

    \newchapter{SHORT CHAPTER TITLE}{MEDIUM LENGTH CHAPTER TITLE}{LONG CHAPTER TITLE}
    \label{sec:LabelForChapter3}


        % Either type your chapter's text here or input a file 
        % containing it using the ``\input'' command.
        
        % You will probably want to split your chapter up into several
        % sections (with each section possibly even split up into
        % subsections), each of which can either be written directly
        % in this file or input from an external file as above. E.g.:
    
        \section[Short Title for Section One]{Long Title for Section One}
        \label{sec:LabelForChapter3:Section1}
        \input{lorem_ipsum}
    
        \section[Short Title for Section Two]{Long Title for Section Two}
        \label{sec:LabelForChapter3:Section2}
        \input{lorem_ipsum}
            
        %  ...
    
        \section[Short Title for Section $n$]{Long Title for Section $n$}
        \label{sec:LabelForChapter3:Sectionn}
        \input{lorem_ipsum}
        
        % You should repeat this portion for each additional chapter 
        % as it's appropriate to your dissertation.
        
        
        
    % %------------------------------------------------------------------------------
    % 
    % %--------------------------------------------------------------- NEW CHAPTER --
    %
    % % -- [INSERT TITLE OF CHAPTER FOUR]

    \newchapter{SHORT CHAPTER TITLE}{MEDIUM LENGTH CHAPTER TITLE}{LONG CHAPTER TITLE}
    \label{sec:LabelForChapter4}


        % Either type your chapter's text here or input a file 
        % containing it using the ``\input'' command.
        
        % You will probably want to split your chapter up into several
        % sections (with each section possibly even split up into
        % subsections), each of which can either be written directly
        % in this file or input from an external file as above. E.g.:
    
        \section[Short Title for Section One]{Long Title for Section One}
        \label{sec:LabelForChapter4:Section1}
        \input{lorem_ipsum}
    
        \section[Short Title for Section Two]{Long Title for Section Two}
        \label{sec:LabelForChapter4:Section2}
        \input{lorem_ipsum}
            
        %  ...
    
        \section[Short Title for Section $n$]{Long Title for Section $n$}
        \label{sec:LabelForChapter4:Sectionn}
        \input{lorem_ipsum}
        
        % You should repeat this portion for each additional chapter 
        % as it's appropriate to your dissertation.
        
        
        
    % %------------------------------------------------------------------------------
    % 
    % %--------------------------------------------------------------- NEW CHAPTER --
    %
    % % -- [INSERT TITLE OF CHAPTER FIVE]

    \newchapter{SHORT CHAPTER TITLE}{MEDIUM LENGTH CHAPTER TITLE}{LONG CHAPTER TITLE}
    \label{sec:LabelForChapter5}


        % Either type your chapter's text here or input a file 
        % containing it using the ``\input'' command.
        
        % You will probably want to split your chapter up into several
        % sections (with each section possibly even split up into
        % subsections), each of which can either be written directly
        % in this file or input from an external file as above. E.g.:
    
        \section[Short Title for Section One]{Long Title for Section One}
        \label{sec:LabelForChapter5:Section1}
        \input{lorem_ipsum}
    
        \section[Short Title for Section Two]{Long Title for Section Two}
        \label{sec:LabelForChapter5:Section2}
        \input{lorem_ipsum}
            
        %  ...
    
        \section[Short Title for Section $n$]{Long Title for Section $n$}
        \label{sec:LabelForChapter5:Sectionn}
        \input{lorem_ipsum}
        
        % You should repeat this portion for each additional chapter 
        % as it's appropriate to your dissertation.
        
        
        
    % %------------------------------------------------------------------------------
    % 
    % %------------------------------------------------------------------ NEW PAGE --
    %
    % % -- REFERENCES
    
    \begin{thebibliography}{10}
        \thispagestyle{myheadings}
        \addcontentsline{toc}{chapter}{\bibname}


        % Either type your references here or input a file 
        % containing them:
        \input{lorem_ipsum}

    \end{thebibliography}

\end{document}