Ask each of your professors which style they want you to use - the information may be in your syllabus.
If they have no preference, the most common citation styles are:
|Discipline||Typical citation style(s)|
|Engineering & IT||Institute of Electrical and Electronics Engineers (IEEE)|
|Humanities||Chicago notes and bibliography; MLA|
|Law||Bluebook, Oxford Standard for the Citation of Legal Authorities (OSCOLA)|
|Medicine*||AMA, NLM, Vancouver|
|Political Science||Chicago, American Political Science Association (APSA)|
|Sciences||ACS, Chicago author-date, CSE|
|Social Sciences||APA, ASA, Chicago author-date|
*The field of medicine also has guidelines for ethical considerations when writing and publishing. You can read about them here: Recommendations for the Conduct, Reporting, Editing, and Publication of Scholarly Work in Medical Journals, from the International Committee of Medical Journal Editors (ICMJE).