How to get the taxonomy values of a custom post type

assume: I register a taxonomy with custom post type name publication_category.

On your custom post type template write :

$terms = get_the_terms( $post->ID, 'publication_category' );
if ($terms) {
    foreach($terms as $term) {
      echo $term->name;
    } 
}

Have you tried using <?php get_taxonomies() ?> ?

If your looking for specific taxonomies that function has optional arguments you can pass in to control the output. See documentation here : http://codex.wordpress.org/Function_Reference/get_taxonomies

Check this function: wp_get_post_terms()

Assuming your custom post type Case Study supports two taxonomies called country and subject, you can try something like this:

<?php $terms = wp_get_post_terms( $query->post->ID, array( 'country', 'subject' ) ); ?>
<?php foreach ( $terms as $term ) : ?>
<p><?php echo $term->taxonomy; ?>: <?php echo $term->name; ?></p>
<?php endforeach; ?>

Your output would be something like:

Country: United Kingdom
Subject: Biology
Subject: Chemistry
Subject: Neurology