I figured it out. I had to set my Document Root to the public folder from the public_html folder. You can do this easily with http.conf if you have root access, but since I am on a shared server I had to modify the .htaccess file in my public_html directory with the following rewrite:
RewriteEngine on
RewriteCond %{HTTP_HOST} ^solder.syriuscode.com$ [NC,OR]
RewriteCond %{HTTP_HOST} ^www.solder.syriuscode.com$
RewriteCond %{REQUEST_URI} !public/
RewriteRule (.*) /public/$1 [L]
I hope this helps someone else.