diff --git a/main.tex b/main.tex
index 7e754d5a9181da8a43cfa82fbca67b9907a4a8be..88c3b8bd98474fe3845e49d17dcf412425bdc045 100644
--- a/main.tex
+++ b/main.tex
@@ -190,7 +190,13 @@ For the next subsections, we consider $q$ to be fixed with one of these values,
 and we shall be varying $\chern_0(E) = r$ to see when certain inequalities fail.
 
 
-\subsection{$\Delta(E) + \Delta(G) \leq \Delta(F)$}
+\subsection{
+	\texorpdfstring{
+		$\Delta(E) + \Delta(G) \leq \Delta(F)$
+	}{
+		Δ(E) + Δ(G) ≤ Δ(F)
+	}
+}
 \label{subsect-d-bound-bgmlv1}
 
 This condition expressed in terms of $R,C,D,r,c,d$ looks as follows:
@@ -300,7 +306,13 @@ In the case $\beta = \beta_{-}$ (or $\beta_{+}$) we have
 $\chern^{\beta}_2(F) = 0$,
 so some of these expressions simplify.
 
-\subsection{$\Delta(E) \geq 0$}
+\subsection{
+	\texorpdfstring{
+		$\Delta(E) \geq 0$
+	}{
+		Δ(E) ≥ 0
+	}
+}
 
 This condition expressed in terms of $R,C,D,r,c,d$ looks as follows:
 
@@ -384,7 +396,13 @@ Notice that for $\beta = \beta_{-}$ (or $\beta_{+}$), that is when
 $\chern^{\beta}_2(F)=0$, the constant and linear terms match up with the ones
 for the bound found for $d$ in subsection \ref{subsect-d-bound-bgmlv1}.
 
-\subsection{$\Delta(G) \geq 0$}
+\subsection{
+	\texorpdfstring{
+		$\Delta(G) \geq 0$
+	}{
+		Δ(G) ≥ 0
+	}
+}
 \label{subsect-d-bound-bgmlv3}
 
 This condition expressed in terms of $R,C,D,r,c,d$ looks as follows:
@@ -516,14 +534,14 @@ $\chern^{\beta}_2(F) = 0$,
 so some of these expressions simplify, and in particular, the constant and
 linear terms match those of the other bounds in the previous subsections.
 
-\subsection{Bounds on $r$}
+\subsection{Bounds on \texorpdfstring{$r$}{r}}
 
 Now, the inequalities from the last three subsections will be used to find, for
 each given $q=\chern^{\beta}_1(E)$, how large $r$ needs to be in order to leave
 no possible solutions for $d$. At that point, there are no Chern characters
 $(r,c,d)$ that satisfy all inequalities to give a pseudowall.
 
-\subsubsection{All circular walls left of vertical wall}
+\subsubsection{All circular pseudowalls left of vertical wall}
 
 Suppose we take $\beta = \beta_{-}$ in the previous subsections, to find all
 circular walls to the left of the vertical wall (TODO as discussed in ref).