"has done research" is correct and usable in written English.
It is a verb phrase that expresses completed action in the past. For example, "She has done research into the causes of climate change."
The parson claims he has done research.
Dr. Ricaurte has done research on the dangers of Ecstasy for years.
We know this in part because Facebook has done research on it.
Academy, in Quantico, Virginia, and who has done research in the Pollock studio.
(Dr. Nurko has done research partially supported by the former maker of Miralax).
Davis has done research showing that landing on the forefoot has less impact.
But ever-efficient Paula has done research and lined up a private guide.
A. No. Scott Grundy in Dallas has done research on monounsaturates.
He has done research in various areas of mathematics including computational mathematics.
Dr. David Smith, veterinarian, University of Nebraska at Lincoln has done has done research on this.
He has done research in Software Engineering, Artificial Intelligence, Programming Languages, Cognitive Psychology, and Intelligent Tutoring.
