// Workers AI · dad joke modeWhat did Andrej Dujella's math book say? "You can du-jell-a lot from me.
Andrej Dujella (born May 21, 1966 in Pula) is a Croatian professor of mathematics at the University of Zagreb and a fellow of the Croatian Academy of Sciences and Arts.[1]
Life
[edit]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.[7]
Works
[edit]- Dujella, Andrej (2021). Number Theory. Translated by Petra Švob. Zagreb: Školska knjiga. ISBN 978-953-0-30897-8.
- Dujella, Andrej (2024). Diophantine m-tuples and Elliptic Curves. Developments in Mathematics. Vol. 79. Springer. doi:10.1007/978-3-031-56724-7. ISBN 978-3-031-56723-0.
References
[edit]- ↑ "HAZU • Croatian Academy of Sciences and Arts - Andrej Dujella - Biography".
- ↑ "Andrej Dujella | PMF - Department of Mathematics".
- 1 2 Dujella, Andrej (August 2016). "What is a Diophantine m-tuple?". Notices of the American Mathematical Society. 63 (7): 772–774. doi:10.1090/noti1404.
- ↑ Dujella, Andrej (2004). "There are only finitely many Diophantine quintuples". Journal für die reine und angewandte Mathematik. 2004 (566): 183–214. doi:10.1515/crll.2004.003.
- ↑ Dujella, Andrej (2001). "An absolute bound for the size of Diophantine m-tuples". J. Number Theory. 89: 126–150. doi:10.1006/jnth.2000.2627.
- ↑ Dujella, Andrej (2007). "On Mordell-Weil groups of elliptic curves induced by Diophantine triples". Glas. Mat. Series III. 42: 3–18. arXiv:0705.1875. doi:10.3336/gm. S2CID 245477022.
- ↑ https://unideb.hu/dr-andrej-dujella-hr-ik
