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First, please note that your country of tax residency (the country of which you can claim a treaty) may be different from your country of citizenship. For example, if you are a citizen of China but you lived in Canada before entering the U.S., your country of tax residency is Canada and that is the treaty provision that applies to you.
Certain countries have unique treaty provisions. This document details the treaty provisions for India, China and Canada.
This document lists countries with treaty benefits for wage income during studying and training. For UConn, this generally applies to students on F or J visa status who are earning wages, usually from an on-campus job.
This document lists countries with treaty benefits for wage income during teaching and performing research. For UConn, this generally applies to researchers and teachers on a J visa who earn wages as a Graduate or Teaching Assistant.
This document lists countries with treaty benefits for scholarship or fellowship grants. For UConn, this generally applies to graduate students on fellowship, but can apply to any taxable scholarship.