After taking his examinations in 1921, Aleksandrov was appointed as a lecturer at Moscow university and lectured on a variety of topics including functions of a real variable, topology and Galois theory .
Matapos ang kanyang pagsusuri sa 1921, Aleksandrov ay hinirang bilang isang lektor sa Moscow unibersidad at lectured sa isang iba't ibang mga paksa kabilang ang mga pag-andar ng isang tunay na variable, topology at Galois theory.