bˈʌtʃsteɪbɚ kɹiːˈeɪɾᵻd ɐn ældʒˈɛbɹoʊfˈʌŋkʃənəl θˈiəɹi ʌv sɪmˈɛtɹɪk pɹˈɑːdʌkts ʌv spˈeɪsᵻz ænd dᵻskɹˈaɪbd ˌældʒɪbɹˈeɪɪk vɚɹˈaɪəɾiz ʌv pˌɑːlɪsɪmˈɛtɹɪk pˌɑːlɪnˈoʊmɪəlz.
Buchstaber created an algebro-functional theory of symmetric products of spaces and described algebraic varieties of polysymmetric polynomials.