\documentclass[11pt,twoside]{amsart}
\usepackage{amssymb, amsmath, enumerate}
\usepackage{fullpage}
\usepackage{mathrsfs}


\theoremstyle{plain}
%Remove the % sign in the following line if you want environments numbered witin sections, e.g., Theorem 2.3 instead of Theorem 12.
\newtheorem{prop}{Proposition}%[section]
\newtheorem{lemma}[prop]{Lemma}
\newtheorem{thm}[prop]{Theorem}
\newtheorem{cor}[prop]{Corollary}

\theoremstyle{remark}
\newtheorem{rmk}[prop]{Remark}

\theoremstyle{definition}
\newtheorem{defn}[prop]{Definition}

\newcommand{\RR}{\mathbb{R}}
\newcommand{\ZZ}{\mathbb{Z}}
\newcommand{\CC}{\mathbb{C}}
\newcommand{\NN}{\mathbb{N}}
\newcommand{\QQ}{\mathbb{Q}}
\newcommand{\FF}{\mathbb{F}}
\newcommand{\Gal}{\operatorname{Gal}}

\title{Galois Theory Project Title}
\author{Your name}
\date{\today}

\begin{document}
\maketitle

\section{Introduction}\label{sec:intro}
Here is a section in which to introduce your topic.

\section{Second section}\label{sec:second}
Here is a second section.  It comes after Section \ref{sec:intro}.  Maybe it contains a theorem like this one.

\begin{thm}\label{thm:main}
``Mississippi'' spelled with O's intead of I's is ``Mossossoppo.''
\end{thm}

Some other theorems may contain math phrases like $1+1=2$ or $\Gal(L/F) = Q_8$.  Longer math phrases may appear in display mode, such as
\[
  \det
  \begin{pmatrix}
    a & b \\
    c & d
  \end{pmatrix}
  = ad-bc.
\]
Did you notice that there was a period at the end of the previous sentence?  That's called style.

\section{Conclusion}\label{sec:conclusion}
Gosh, wasn't Theorem \ref{thm:main} great?  You can read more about it in \cite{Ormsby}.

%BibTeX bibliography commands
\bibliographystyle{plain}
\bibliography{biblio_name.bib}

\end{document}