He has studied the mechanisms of species coexistence in species-rich communities and developed mathematical modelling in ecophysiology.
Since 1975, he has been the main organiser of annual meetings of theoretical biology in Estonia.
His field of interests include biosemiotics, ecosemiotics, general semiotics, theoretical biology, theory of evolution, history and philosophy of semiotics and life science.
[2] Kull is the co-editor of the journal Sign Systems Studies and book series Semiotics, Communication and Cognition (De Gruyter), Biosemiotics (Springer), Tartu Semiotics Library, and Approaches to Culture Theory (University of Tartu Press).
In 2021, a Costa Rican braconid wasp species new to science, Hymenochaonia kalevikulli Sharkey & van Achterberg, was named for Dr.