Professor Grzywacz details where the research is heading next, "Our group is taking this line of inquiry in many directions. We are assessing whether harmonic surprise has a historical memory.
The bold part is kind of unclear to me! what does it mean exactly?
The Professor explains ('details' is used as a verb here) what will be researched next. Having researched the subject, he explains in detail what he / they will be researching to continue their understanding of it.
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The Professor explains ('details' is used as a verb here) what will be researched next. Having researched the subject, he explains in detail what he / they will be researching to continue their understanding of it.
"detail" is a verb here, meaning to explain or describe something (in some degree of detail).
The thing that the professor details, or explains, is "where the research is heading next", i.e. the direction(s) in which the research will develop.
(Cross-posted.)