Those are the projects of your logged in user:
if (Auth::check())
{
$projects = Auth::user()->projects;
}
And this must be in your relation:
class User extends Eloquent
{
public function projects() {
return this->hasMany('Project');
}
}
You also need to add $this to your Project relation:
class Project extends Eloquent
{
public function user()
{
return $this->belongsTo('User');
}
}