Hi, yes there's a difference! When you say that you will do it later that week you express that you will have done it at least in this week. When you say after you mean that you'll do it next week, a better way to say this is " I'll do my research next week" I try to make an example for "later on", maybe you can guess in which cases you can use it.
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Hello, I'm an American English speaker and an EFL instructor in Japan.
Generally, (not always) I believe that "later" is used in combination with specific time periods, or by itself to just man "sometime".
After seems to be used with vague or non-specific time periods. Also, "after" can be used with SV clauses. Therefore for me, these sentences seem correct:
I'll do my re