Andrej Dujella
Andrej Dujella (born 1966 in Pula) is a Croatian mathematician at University of Zagreb and a fellow of the Croatian Academy of Sciences and Arts[1]
Born in Pula, a native of Zadar, Dujella got his M.Sc and PhD 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 and elliptic curves.
Dujella has shown that there doesn't exist a Diophantine 6-tuple and that there exist at most a finite number of Diophantine 5-tuples. [2] [3][4] He applied Diophantine tuples to construct elliptic curves with high rank. [5]
References
- ^ http://info.hazu.hr/en/member_of_academy/personal_pages/adujella_en/adujella_biography_en/
- ^ 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. 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. Ser. III. 42: 3–18. doi:10.3336/gm.