Tikhonov's wide interests throughout mathematics led him to hold a number of different chairs at Moscow University, in particular a chair in the Mathematical Physics Faculty and a chair of Computational Mathematics in the Engineering Mathematics Faculty.
Tikhonov ng malawak na interes sa lahat ng dako ng matematika na humantong sa kanya na humawak ng isang numero ng iba't-ibang mga upuan sa Moscow University, sa partikular ng isang upuan sa matematika Physics Faculty at ng isang upuan ng computational Matematika sa Engineering Mathematics Faculty.