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% Original author:
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\moderncvstyle{casual} % CV theme - options include: 'casual' (default), 'classic', 'oldstyle' and 'banking'
\moderncvcolor{blue} % CV color - options include: 'blue' (default), 'orange', 'green', 'red', 'purple', 'grey' and 'black'

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%\setlength{\makecvtitlenamewidth}{10cm} % For the 'classic' style, uncomment to adjust the width of the space allocated to your name

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%	NAME AND CONTACT INFORMATION SECTION
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\firstname{L\'eo} % Your first name
\familyname{Brunswic} % Your last name

% All information in this block is optional, comment out any lines you don't need
\title{Curriculum Vitae}
\address{16 rue Agar, 75016 }{Paris, France}
\mobile{(+33) 659 880 042}
\email{leo@brunswic.fr}
\homepage{leo.brunswic.fr}{leo.brunswic.fr} % The first argument is the url for the clickable link, the second argument is the url displayed in the template - this allows special characters to be displayed such as the tilde in this example
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\begin{document}

\makecvtitle % Print the CV title

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%	EDUCATION SECTION
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\section{Education}
\cventry{2014-2017}{PhD (Mathematics)}{Universit\'e d'Avignon (UAPV)}{Avignon, France}{}{Title : Polyhedral Cauchy-surfaces of singular flat spacetimes. 
Defended December 22nd 2017, scientific level : exceptionnal.}
\cventry{2011--2012}{Agregation (Mathematics)}{Ecole Normale superieure de Lyon (ENSL) }{Lyon, France}{}{Nationwide competitive examination for highest teaching certification, final rank : 10th}{}
\cventry{2009--2011}{Masters of Science (Mathematics)}{ENSL}{Lyon,France}{}{Speciality : Number Theory} 
\cventry{2008--2009}{Bachelor of Science (Mathematics)}{ENSL}{Lyon,  France}{}{}
\cventry{2006--2008}{Classe Pr\'eparatoire aux Grandes Ecoles MP*}{Lyc\'ee Louis Le Grand}{Paris, France}{}{}

\section{Master Thesis}

\cvitem{Title}{\emph{Deformation space of galoisian representations}}
\cvitem{Supervisor}{Professor Laurent Berger}
\cvitem{Laboratory}{UMPA, Lyon, France}
\cvitem{Description}{ An ingredient of the proof of Shimura-Taniyama-Wiles conjecture is the study of representations of absolute galois groups p-adic vector spaces. More precisely, let $p$ be a prime numbe, a finite extension $K$ of $\mathbb Q_p$, $\mathcal O$ its ring of integers and $k$ the field $\mathcal O/\mathfrak m$ where $\mathfrak m$ is the maximal ideal of $\mathcal O$.  Let $\pi: \mathcal O \rightarrow k$ be the natural projection.   
Given a map $\overline \rho : \mathrm{Gal}(\overline{\mathbb Q_p}/K) \rightarrow \mathrm{GL}(n,k)$ 
we can consider maps $ \rho : \mathrm{Gal}(\overline{\mathbb Q_p}/K) \rightarrow \mathrm{GL}(n, \mathcal O)$ 
such that $\pi \circ \rho = \overline \rho$. 
This thesis presents a proof of the representability of the functor associating to $\overline \rho$ the set of representation $\rho$ such that $\pi\circ \rho = \overline \rho$ as well as fundamental properties of the universal representation
.}

\section{Internship Thesis}

\cvitem{Title}{\emph{Gauss-Bonnet-Chern Theorem
and applications to Closure of
Buchert Equations}}
\cvitem{Supervisor}{Professor Thomas Buchert}
\cvitem{Laboratory}{CRAL, Lyon, France}
\cvitem{Description}{  Used as a fitting model, the standard model of cosmology with postulated Dark Energy
and Dark Matter sources agrees to a large extent with observational data. However, this
model leave unanswered "What is Dark Energy/Matter?". 
A seminal work of Buchert and others try to answer 
this question within the Einstein Theory of Gravitation through estimations of the standard model's bias 
 induced by the assumption of a homogeneous universe. 
This internship contributed to the framework by generalising to dimension 3+1 an estimate based on the Gauss-Bonnet-Chern Theorem obtained by Magni 
for dimension 2+1 dust universe model.}


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%	WORK EXPERIENCE SECTION
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\section{Experience}

\cventry{2018--present}{Post-doctoral position}{\textsc{Centre Recherche Astrophysique de Lyon}}{Lyon, France}{ERC grant ARThUs supervised by Pr. Thomas Buchert}{}
\cventry{2017--present}{CTO}{\textsc{France1900.com}}{Paris, France}{A web company on old postcards}{}

\cventry{2014--2017}{PhD student}{\textsc{Laboratoire de Mathematiques d'Avignon, UAPV}}{Avignon, France}{supervised by Pr. Thierry Barbot}{ 
Contributions to the theory of Globally hyperbolic Cauchy-complete singular flat spacetimes of dimension 3 and its interaction with Teichm\"uller Theory
\newline{}\newline{}
Detailed achievements:
\begin{itemize}
\item Classification of singular spacetimes  
\begin{itemize}
\item Definition and description of BTZ-extension of a singular spacetimes with application to the extension of Mess Theorem 
to Cauchy-compact flat spacetimes with BTZ. 
\item Definition of the concept of BTZ-extension. Proof of fundamental properties and application to the aforementioned Mess Theorem.
\end{itemize}
\item  Convex polyhedral Cauchy-surfaces in singular spacetimes.
\begin{itemize}
 \item Construction of a Penner-Epstein Cauchy-Surface in Cauchy-compact flat spacetimes with BTZ.
 \item Parametrisation of Polyhedral surfaces of given topology by Penner's decorated Teichm\"uller space via linear spacetimes with BTZ. 
\end{itemize}
\item Lectures and seminar (see below)
\item Mathematics teaching at undergraduate level
\begin{itemize}
\item Course "Mathematics softwares for teaching" (3rd year)
	\begin{itemize}
    	\item curriculum definition
        \item course material conception
        \item lectures and tutorial classes
    \end{itemize}
\item Course "Introduction to numerical analysis" (3rd year)
	\begin{itemize}
    	\item course material conception
        \item tutorial classes
    \end{itemize}
 \item Probability and statistics (1st year)
 		\begin{itemize}
        	\item tutorial classes
        \end{itemize}
\end{itemize}
\end{itemize}}

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\cventry{2013--2014}{Mathematics Teacher}{\textsc{Lyc\'ee Colbert}}{Lyon,France}{}{
Mathematics Teacher in 10th grade, 12 hours a week.
}


\cventry{2009--2013}{Oral examiner}{\textsc{Lyc\'ee du Parc and Lycee la Martiniere monplaisir}}{Lyon,France}{}{
Hour-long weekly oral examination for second year undergraduate students in French "classe preparatoire" (2 hours/week).}
\cventry{2011--2012}{Intern}{\textsc{Centre de Recherche Astronomique de Lyon}}{Lyon}{}{
Contribution to the theory of averaged cosmology.
}

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%	Talks
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\section{Lectures}
\begin{itemize}
    	\item Title: Decorated Teichm\"uller space, polyhedral surfaces and spacetimes with BTZ(60min);\\
         Places: Geometry seminar of Caltech and Luxembourg, Heidelberg, EPFL (Lausanne), Paris Rive-gauche, Monptellier, Avignon and Marseilles universities. 
        			   Cycle of lectures "Paroles aux jeunes chercheur" in Strasbourg. 
		\item Title: Constructions of polyhedral Cauchy-surfaces in singular spacetimes(60min); \\
				Places: Workshop "Teichm\"uller Theory and geometric structures on 3-dimensional manifolds" in Luxemburg, 
						Workshop "International Workshop on Geometry, Dynamics and Anosov Representations" in Santigao (Chile).
        \item Title: "Cauchy-compact flat singular spacetimes" (2x45min); \\ Place : CIRM in Luminy (France) "S\'eminaire Commun d'Analyse G\'eom\'etrique".
        \item Title: "Alexandrov Theorem for singular spacetimes" (25min); \\ Place : "Junior Gear Retreat 2017" in Stanford,CA (USA).
    \end{itemize}
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%	COMPUTER SKILLS SECTION
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\section{Computer skills}
\cvitem{Advanced}{\textsc{python},\textsc{C++},Linux, \LaTeX, \textsc{Sage}, \textsc{Geogebra}, \textsc{Scilab}/ \textsc{Matlab}}
\cvitem{Intermediate}{\textsc{html}, \textsc{javascript}, \textsc{Coq}, OpenOffice, Microsoft Windows}

\cvitem{Basic}{Visual Basic, Caml, PIC16 assembly language, LAMP}

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%	LANGUAGES SECTION
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\section{Languages}

\cvitemwithcomment{French}{Mothertongue}{}
\cvitemwithcomment{English}{Intermediate}{fluent}
\cvitemwithcomment{German}{Basic}{Basic words and phrases only}


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%	INTERESTS SECTION
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\section{Interests}

\renewcommand{\listitemsymbol}{-~} % Changes the symbol used for lists

\cvlistdoubleitem{Piano}{Chess}
\cvlistdoubleitem{Cooking}{Poker}
\cvlistdoubleitem{Metal bands...}{}
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