Cojocaru's research interests are in studying population behaviour and decision making using game theory, variational analysis and constrained dynamics.
Over the years she has held several visiting positions at the Centre des Researches Mathematiques, The Fields Institute, Harvard and Northwestern Universities and at University of Brescia. Most recent visiting positions were held at GERAD Montreal and Lehigh University, as a Senior Visiting Research fellow. She held one of only two Canada-US Fulbright Visiting Research Chair positions awarded in 2010 in the Department of Mathematics at the University of California at Santa Barbara.
Her research was supported by NSERC, City of Guelph, Ontario Centers of Excellence and Canada Foundation for Innovation. Most recently she was awarded an NSERC Engage grant on a research project with Canada Sanofi Pasteur.