\documentclass[11pt]{article}
\pagestyle{empty}
\usepackage{amssymb,amsmath}
%you may include here common packages if necessary

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Do not modify the dimensions of the page
\setlength{\topmargin}{-0.3in}
\setlength{\textheight}{9.9in}
\setlength{\oddsidemargin}{0.0in}
\setlength{\textwidth}{6.3in}
% Do not modify the dimensions of the page
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% No paragraph indent or paragraph skip
\parindent=0pt \parskip=0pt

\begin{document}

\begin{center}
\bf{EFFICIENT SOLUTION OF INVOLVED PROBLEMS}
\end{center}

\vspace{12pt}

\centerline{{\bf Peter Black}}%$^{\rm a,b}$}

\vspace{8pt}

\begin{center} 
Department of Numerical Mathematics, Favorite University, Anycity(optional), Anyland
\centerline{\texttt{pblack@fav.nummath.al}}

\end{center}

\vspace{12pt}
\vspace{6pt}

In the talk, we tackle interesting and important mathematical problems.
They have many real-life applications, see \cite{book1}.

To solve them, we use recent methods. 
We will also display the easier proofs.

\begin{equation}\label{main}
\begin{cases}
\partial_t \eta = \partial_2 \mathcal{H}(\eta,\phi)  \\
\partial_t \phi = -\partial_1 \mathcal{H}(\eta,\phi)
\end{cases}
\end{equation}

The main tools in the analysis of \eqref{main} and simulation algorithms are the following.
\begin{itemize}
\item
The concept of compactness,
\item
smoothness assumptions,
\item
fully implicit approximations,
\item
quasi-Newton methods.
\end{itemize}

Details of the analysis cab be found in \cite{paper1}.

The numerical experiments need a special care. 
For the computations, we have used a supercomputer.

%This is optional, you can just comment it
 \vspace*{16pt}
 {\bf Acknowledgments}~ The author is grateful for the support of the Scientific Fund
 (grant W123456).
% Here you can mention your collaborators also. 

\bigskip
\begingroup
\renewcommand{\section}[2]{}
\subsubsection*{References}
\begin{thebibliography}{}
\bibitem{paper1}
J.A. White. Discontinuous approximations for interesting problems, \emph{J. Comp. Anal. Math.}, 16(4), 365--378, 2016.

\bibitem{book1}
J.A. White, P. Gray and P. Black. 
Analysis of Hard Problems, Second Edition. \emph{Publisher of Math, Budapest}, 2017. xvi+429 pp.
 
 
\end{thebibliography}
\endgroup

\end{document}