He completed his undergraduate studies at University of Gothenburg, earning a B.Sc. degree in chemistry in 1984. He then pursued a Licentiate in Physical Chemistry at the Institute of Chemistry and Chemical Engineering, Chalmers University of Technology in Göteborg, which he completed in 1986. Kubista obtained his Ph.D. in chemistry from Chalmers University of Technology. Following his doctoral studies, he conducted postdoctoral research at institutions such as La Trobe University in Melbourne, Australia, and Yale University in New Haven, US. Additionally, he has held visiting professor positions at various universities, including the University of Maryland in College Park, US, in June 2000, and the University of A Coruña in Spain, during September–November 2003 and July 2006 to June 2007. Since 2007, Kubista is serving as an adjunct professor at the Institute of Biotechnology, Czech Academy of Sciences.