Born in Pula, a native of Zadar, Dujella took part in the International Mathematical Olympiad, where he won a bronze medal in 1984. He received his M.Sc. and Ph.D. in mathematics from the University of Zagreb with a dissertation titled "Generalized Diophantine–Davenport problem". His main area of research is number theory, in particular Diophantine equations, elliptic curves, and applications of number theory in cryptography.^[2] Dujella is author of the monograph "Number Theory" (translated from Croatian). Dujella presently serves as the editor-in-chief of Rad-HAZU (Mathematical Section), a mathematics journal published by the Croatian Academy of Sciences and Arts (HAZU).

Dujella's main contribution to number theory is in connection to Diophantine m-tuples. Dujella has shown that there exists no Diophantine 6-tuple and that there exist at most a finite number of Diophantine 5-tuples.^[3]^[4]^[5] He applied Diophantine tuples to construct elliptic curves with high rank.^[6] In 1998, Dujella and Attila Pethő introduced congruence method to obtain lower bound for number of Diophantine 5-tuples.^[3]

In 2017, Dujella received an honorary doctorate from the University of Debrecen.

Life

References