publication-level regression (count data)

#1
My dependent is the number of times a publication was cited. The independent variables are variables that measure the quality of authors and their experience. I need to control for organization-effects, year-effects, as well as the scientific area of the publication. Because there are multiple observations per organization per year, i am unable to use a regular panel (Poisson) regression. Are there any other ways I could model a regression like this?
 
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