Besides noncommutative geometry, he has applied his works in various areas of mathematics and theoretical physics, including number theory, differential geometry and particle physics.
bᵻsˌaɪdz nˌɑːŋkˈɑːmjuːɾətˌɪv dʒiˈɑːmətɹi, hiː hɐz ɐplˈaɪd hɪz wˈɜːks ɪn vˈɛɹiəs ˈɛɹiəz ʌv mˌæθɪmˈæɾɪks ænd θiəɹˈɛɾɪkəl fˈɪzɪks, ɪŋklˈuːdɪŋ nˈʌmbɚ θˈiəɹi, dˌɪfɚɹˈɛnʃəl dʒiˈɑːmətɹi ænd pˈɑːɹɾɪkəl fˈɪzɪks.