\documentclass{article}
\usepackage{amsmath, amsthm, amssymb, fullpage}

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% FILL IN THE FOLLOWING FIELDS 
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\title{The subexponential of a random algebraic variety as a bipartite graph and its application to compressed sensing }
\author{Jane Q. Student}

\begin{document}
\maketitle  %Do not remove this line

\section{Background}
%This usually runs 1 --- 1.5 pages.  Please give the general history of the problem and major results up until now.  
%
%This section will typically contain only citations by people other than yourself (typically citations of your advisor, however).


\section{Proposed Thesis Problem}
%This usually runs 1 --- 1.5 pages in total.  
%The first two subsections absolutely must filled out.
%The third subsection is optional but strongly recommended.

\subsection{Statement of Problem}

%Here you state (in as coherent a form as possible) the type of result that would be a central result in your thesis.

%If you have existing papers on the topic, you refer to them, and cite them, here.

\subsection{Proposed Plan of Attack}

%This section obviously refers to the previous.  Give a list of the techniques and prior results that you will use to prove the result in the previous section.  You should also discuss the likelihood of your plan working.

\subsection{Fallback Plan (if Proposed Plan is unsuccessful)} 

%As mentioned, this is optional, but fill this part out for best results.


\section{Examinable topics}
%Somewhere between five and ten is usually about right

\begin{enumerate}
\item Rudin's entire opus
\item Munkries
\item the other Munkries
\end{enumerate}

%IF NECESSARY
\bibliographystyle{plain} 
\bibliography{prelim}

\let\thefootnote\relax\footnote{\hfill \fbox{lxd, last updated August 2018}} %Do not remove this line


\end{document}