diff --git a/paper/paper.tex b/paper/paper.tex
index a44a1cf..a81918a 100644
--- a/paper/paper.tex
+++ b/paper/paper.tex
@@ -78,14 +78,14 @@ \section{Introduction}
 The ecosystem includes diverse legacy solvers, adapters, language bindings, and tutorials besides the coupling library itself making it a challenging and representative testcase.
 We try to build the complete ecosystem using Nix and run all tutorials.
 Section~\ref{sec:background} briefly introduces the background of Nix and preCICE. Section~\ref{sec:results} then presents the case study including challenges, workarounds, and open problems.
-Afterwards, we discuss the results in section~\ref{sec:discussion}, followed by the conclusions in section~\ref{sec:conclusion}.
+Afterwards, we discuss the results in Section~\ref{sec:discussion}, followed by the conclusions in Section~\ref{sec:conclusion}.
 This paper is the result of a student research project and a streamlined version of its report~\cite{studentreport}.
 Beyond the content of this paper, the report also includes a detailed comparison of Nix to Spack and EasyBuild, and a discussion on how to use Nix on HPC systems.
 
 \section{Background}
 \label{sec:background}
 
-This chapter gives a short introduction into Nix and preCICE.
+This Section gives a short introduction into Nix and preCICE.
 
 \subsection{Nix}\label{sec:nix}