adverb (r)

• with brightness(adv.all)

  Example:
  The stars shone brilliantly.
  

  Synonym:
  bright, brightly
  

  source: wordnet30
• in an extremely intelligent way(adv.all)

  Example:
  He solved the problem brilliantly.
  

  source: wordnet30
• In a brilliant manner.(adverb)

  source: webster1913