Please remind me to call my academic advisor at 9 PM tomorrow.

Literal

Tomorrow night 9-o'clock [at-に] academic-advisor [to-に] phone [object-を] make-call [nominalizer-こと] [object-を], remember-cause please.

思い出させてください is causative + てください — 'please make me remember,' i.e., 'please remind me.' こと nominalizes the entire preceding clause into the object of 思い出させる. Two に particles serve different roles: time (9時に) and target (アドバイザーに).