Well, here's a simple query that retrieves all moderators for a forum with a given ID:
Code:
SELECT users.*
FROM users INNER JOIN forum_moderators
  ON users.id = forum_moderators.user_id
WHERE forum_moderators.forum_id = ?
It's not possible to integrate this into a single query getting all the forums without unpleasant duplication of the forum data. It's possible, however, to fetch the moderators for all forums in a single query:
Code:
SELECT forum_moderators.forum_id AS forum, users.id as user_id, users.name as username
FROM users INNER JOIN forum_moderators ON users.id = forum_moderators.user_id
Then you can use PHP code like to create an array where you can look up moderators based on the forum ID (assuming the above is in $sql, and still approximately in PEAR DB syntax):
PHP Code:
$result =& $connection->query($sql);
$moderators = array();
while(
$row $result->fetch_assoc()) {
  
$moderators[$row['forum_id'][] = array('id' => $row['user_id'], 'name' => $row['username']);

Finally, if you use a query to fetch every forum in an array:
PHP Code:
$sql 'SELECT * FROM forums';
$result $connection->query($sql);
$forums = array();
while(
$row $result->fetch_assoc()) {
  
$forums[] = $row;

You can use this in the markup-emitting part like thus:
PHP Code:
<?php
foreach($forums as $forum) {
?>
<div class="forum">
  <span class="name"><?php echo $forum['name']; ?></span>
  <span class="description"><?php echo $forum['description']; ?></span>
  <span class="mods">Moderators:
  <?php
    
foreach($moderators[$forum['id']] as $mod) {
      
?>
      <a href="userinfo.php?id=<?php echo $mod['id']; ?>"><?php echo $mod['name']; ?></a>
      <?php
    
}
  
?></span>
<?php
}
(Of course, I would actually use Smarty for the last.)