に従って

The phrase に従って uses the verb 従う, which typically means "to obey" or "to abide by" to literally state "following." However, it's most often used in sentences with nouns to express "in accordance with X", or "following X."

先生のアドバイスに従って勉強したら、成績がよくなった。
If you study following sensei's advice, your grades will improve.

会議で決まったことに従ってプロジェクトを進めてください。
Please proceed with the project in accordance with what we decided at the meeting.

先輩の意見に従って、夏はアルバイトをせずに、クラスを取ることにした。
Following senpai's opinion, in the summer instead of doing a part-time job, I've decided to take classes.

大学の寮に住む場合には、寮の規則に従って生活しなければならない。
In the case that I live in the college dorms, I'll have to live in accordance with the dorm rules.