diff --git a/isospectral.tex b/isospectral.tex
index 7cab952..49ea7c1 100644
--- a/isospectral.tex
+++ b/isospectral.tex
@@ -44,7 +44,7 @@
 
 \begin{frame}{The silver lining}
 	\begin{itemize}
-		\item Isospectral pairs are cool and all, but they cannot occur in dimension $3$.
+		\item Isospectral pairs are intriguing in their own right, but they cannot occur in dimension $3$.
 		\item We can thus attempt to infer the shape of our universe based on its spectrum.
 	\end{itemize}
 \end{frame}
diff --git a/main.pdf b/main.pdf
index d719bba..0b659f2 100644
Binary files a/main.pdf and b/main.pdf differ
diff --git a/main.tex b/main.tex
index ae6c2eb..2babbeb 100644
--- a/main.tex
+++ b/main.tex
@@ -263,7 +263,7 @@ code-for-last-col = \color{blue}
 \end{frame}
 
 
-\begin{frame}{References}
+\begin{frame}{References 2 --- electric boogaloo}
 	\begin{itemize}
 
 		\item [6] N. Jarosik et. al. \textit{Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Sky Maps, Systematic Errors, and Basic Results}. The American Astronomical Society, 2011.
@@ -274,7 +274,7 @@ code-for-last-col = \color{blue}
 	\end{itemize}
 \end{frame}
 
-\begin{frame}{References}
+\begin{frame}{References 3 --- the references strike again}
 	\begin{itemize}
 		\item [11] E. A. Lauret and B. Linowitz. \textit{The spectral geometry of hyperbolic and spherical manifolds: analogies and open problems}. New York Journal of Mathematics, 2025.
 		\item [12] R. Lehoucq, J. Weeks, J. P. Uzan, E. Gausmann, and J.P. Luminet. \textit{Eigenmodes of three-dimensional spherical spaces and their application to cosmology}. Classical and Quantum Gravity, 2002.