Please remind me to submit my paper tomorrow.

Literal

Tomorrow I [subject-が] paper [object-を] submit [nominalizer-の] [object-を] forget-not [so-that-ように], reminder push please.

念を押す ('to press the point, to make sure') is an idiomatic expression meaning 'to remind, to emphasize, to double-check.' The ~ないように clause establishes the purpose: 'so that I don't forget.' 論文 is specifically an academic paper or thesis.