In his research on the kinship structures of the Teda people, he was influenced by the notions of social anthropology as elaborated by Alfred Radcliffe-Brown.
At the University of Khartoum, they met with British colleagues, such as Ian Cunnison, Farnham Rehfish and Neville Dyson-Hudson, whose approach to social anthropology they shared.
He claimed that this system had already been used in ancient Egypt, and this led him to ask questions about the cultural origin of the mathematical nature of kinship structures along the Nile.
In several of their publications, he and his wife published further studies in English or German based on their fieldwork in Sudan, notably on the Nyimang-Nuba, Jo Luo, Bongo and other peoples.
[5] Based on his professional contacts and emphasis on participant observation, Kronenberg invited British and American social anthropologists, such as E. E. Evans-Pritchard, Godfrey Lienhardt and John F. M. Middleton for guest lectures at his department in the 1980s and '90s.