diff --git a/lib/Text/Dokuwiki/Render/Markdown.pm b/lib/Text/Dokuwiki/Render/Markdown.pm
index 95073f9..c3ad685 100644
--- a/lib/Text/Dokuwiki/Render/Markdown.pm
+++ b/lib/Text/Dokuwiki/Render/Markdown.pm
@@ -91,4 +91,17 @@ sub span {
   return $content;
 }
 
+sub sup {
+  my ($self, $attrs, $content) = @_;
+
+  return "<sup>" . $self->treewalk($content) . "</sup>";
+}
+
+sub blockquote {
+  my ($self, $attrs, $content) = @_;
+
+  my @out = map { "> $_\n" } split /\r?\n/, $content;
+  return join("\n", @out);
+}
+
 1;