Titlepage in amsart : how to include a picture in the title page?

Question

Let's say I have the following .tex file (coming from an answer to my question here) :

\documentclass[titlepage]{amsart}
\usepackage{lipsum}% Just for this example
\begin{document}
\pagenumbering{gobble}% No page numbering

\title{The title}
\author{The author}
\maketitle

\tableofcontents

\clearpage

\pagenumbering{roman}% roman page numbering
\section{Introduction} % the 0 section

\lipsum[1-50]

\clearpage

\pagenumbering{arabic}% Arabic page numbering
\section{First section} % the second section

\lipsum[1-50]

\end{document}

I would like to, with the smaller possible modifications, include a picture in the title page, and some text. I would like it to look like this one (with all dued respect to copyrights etc) :

Answer 1

Don't use the titlepage option but the titlepage environment and insert whatever you want inside it.

An example

\documentclass[]{amsart}

\usepackage{graphicx}

\usepackage{lipsum}% Just for this example
\begin{document}
\pagenumbering{gobble}% No page numbering

\begin{titlepage}
\centering

\includegraphics[width=5cm]{example-image}
\vspace*{1cm}

\title{The title}
\author{The author}
\maketitle
\vspace*{1cm}

Some text
\end{titlepage}

\tableofcontents

\clearpage

\pagenumbering{roman}% roman page numbering
\setcounter{page}{1}% Reset page number
\section{Introduction} % the 0 section

\lipsum[1-50]

\clearpage

\pagenumbering{arabic}% Arabic page numbering
\setcounter{page}{1}% Reset page number
\section{First section} % the second section

\lipsum[1-50]

\end{document}