Andrej Dujella

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

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'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]

References
  1. "HAZU • Croatian Academy of Sciences and Arts - Andrej Dujella - Biography".
  2. "Andrej Dujella | PMF - Department of Mathematics".
  3. Dujella, Andrej (August 2016). "What is a Diophantine m-tuple?". Notices of the American Mathematical Society. 63 (7): 772–774. doi:10.1090/noti1404.
  4. Dujella, Andrej (2004). "There are only finitely many Diophantine quintuples". Journal für die reine und angewandte Mathematik. 2004 (566): 183–214. CiteSeerX 10.1.1.58.8571. doi:10.1515/crll.2004.003.
  5. 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.
  6. 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.
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