Andrej Dujella Explained

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 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.

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

Notes and References

  1. Web site: HAZU • Croatian Academy of Sciences and Arts - Andrej Dujella - Biography.
  2. Web site: Andrej Dujella | PMF - Department of Mathematics.
  3. What is a Diophantine m-tuple? . . Dujella . Andrej . Andrej Dujella . August 2016 . 63. 7 . 772–774 . 10.1090/noti1404. free .
  4. There are only finitely many Diophantine quintuples . . Dujella . Andrej . Andrej Dujella . 2004 . 2004 . 566 . 183–214 . 10.1515/crll.2004.003. 10.1.1.58.8571 .
  5. An absolute bound for the size of Diophantine m-tuples . . Dujella . Andrej . Andrej Dujella . 89 . 2001. 126–150 . 10.1006/jnth.2000.2627. free .
  6. On Mordell-Weil groups of elliptic curves induced by Diophantine triples . Glas. Mat. . Series III. Dujella . Andrej . Andrej Dujella . 42. 2007. 3–18. 10.3336/gm. 0705.1875. 245477022 .