の下で

Compound Particle (used in writing and formal speech only) (Intermediate ㊥ 310)

Under some object; under the control or influence of someone or something.

Equivalent: Under; in; with

私は鈴木先生の指導の下で修士論文を書き上げた。
I finished my master's thesis under Professor Suzuki's guidance.
さんさんたる太陽の下で開会式が行われた。
The opening ceremony was held in (literally: under) the brilliant sun.
彼はカラヤンの下で指導法を学んだ。
He studied conducting under (Herbert von) Karajan.
弁護士（の）立ち会いの下で私達の離婚が成立した。
Our divorce was agreed upon in (literally: under) the presence of attorneys.
囚人達は厳しい監視の下で強制労働をさせられた。
The prisoners were forced to work under strict supervision.
このインフレの下では金を貯めても意味がない。
With this inflation there's no point in saving money.

Formation

Nounの下で
学部長の指揮の下でUnder the direction of the dean

Notes