WordPress doesn’t allow some HTML tags to be used in the author Biographical Info field. By default you can use strong and a href tags. If you have authors with lots of biographical info you might want to use paragraphs and or line breaks to split the information up. Here is how:
// Disable WordPress sanitization to allow more than just $allowedtags from /wp-includes/kses.php.
remove_filter( 'pre_user_description', 'wp_filter_kses' );
// Add sanitization for WordPress posts.
add_filter( 'pre_user_description', 'wp_filter_post_kses' );
