I am with a major US university as professor for only 9 months (H1B). Physician+PhD, 16 years professional experience in Europe, 20 papers, 1 book. Am I eligible for EB2 or is it too early to apply for EB green card?
You are certainly eligible for EB2 and you must apply as soon as possible. Professorial jobs can reuse existing advertisements if they file PERM within 18 months of when the job was offered to them. You should also have your resume assessed for a simultaneous EB1 application.