At a glance
～の下で means "under ~": under someone's guidance or leadership, or under certain conditions or rules. 下 is read もと here, not した.
Noun + の下で
先生の指導の下で、論文を書きました。 I wrote my thesis under my teacher's guidance.
How to form it
| Attaches to | Form | Example | Meaning |
|---|---|---|---|
| Noun | Noun + の下で | 監督の下で | under the coach |
| Noun (before another noun) | Noun + の下での + Noun | 新しい制度の下での生活 | life under the new system |
It attaches to nouns only. A verb like 指導する becomes the noun 指導: 先生の指導の下で. The register is somewhat formal, common in writing and news, and also used in speech.