Andrej Dujella

Position:

  • Professor of Mathematics at the Faculty of Science University of Zagreb (Department of Physics)
  • Full member of the Croatian Academy of Sciences and Arts

Fields of interest:

  • Number theory: Diophantine equations and Diophantine approximations, elliptic curves, applications of number theory to cryptography

Awards:

  • Croatian Mathematical Society Award for Scientific Achievements in Mathematics in 2000
  • Award of the Croatian Academy of Sciences and Arts in 2004
  • State annual award for science in 2006

Five selected publications:

  • Dujella, There are only finitely many Diophantine quintuples, J. Reine Angew. Math. 566 (2004), 183-214.
  • Bosman, P. Bruin, A. Dujella and F. Najman, Ranks of elliptic curves with prescribed torsion over number fields, Int. Math. Res. Not. IMRN 2014 (11) (2014), 2885-2923.
  • Dujella and C. Fuchs, Complete solution of a problem of Diophantus and Euler, J. London Math. Soc. 71 (2005), 33-52.
  • Bugeaud and A. Dujella, Root separation for reducible integer polynomials, Acta Arith. 162 (2014), 393-403.
  • Dujella and A. Pethő, A generalization of a theorem of Baker and Davenport, Quart. J. Math. Oxford Ser. (2), 49 (1998), 291-306.

The most important grants (as PI):

  • 2014-2018 Principal investigator of the project Diophantine m-tuples, elliptic curves, Thue and index form equations, funded by the Croatian Science Foundation)
  • 2007-2013 Principal investigator of the project Diophantine Equations and Elliptic Curves, funded by the Croatian Ministry of Science, Education and Sport
  • 2004-2011 Principal investigator (with Robert Tichy) of four bilateral Croatian-Austrian projects
  • 2005-2014 Principal investigator (with Yann Bugeaud) of three bilateral Croatian-French projects
  • 2005-2011 Principal investigator (with Attila Pethő) of two bilateral Croatian-Hungarian projects

Bio:

Andrej Dujella received a PhD in mathematics from the University of Zagreb in 1996. He has been promoted to the rank of Associate Professor of Mathematics at the University of Zagreb in 2000, and to the rank of Full Professor in 2004. He was visiting professor at Technische Universität Graz (in 2001), University of Debrecen (in 2007) and Basque Center for Applied Mathematics Bilbao (in 2011).  He mentored 13 PhD theses and more than 170 diploma theses.

He is a member of Croatian Mathematical Society, American Mathematical Society, The Fibonacci Association and International Association for Cryptologic Research. He is the Editor-in-Chief of scientific journals “Glasnik Matematički” and “Rad HAZU, Matematičke znanosti”. His main field of research is number theory, in particular Diophantine equations and elliptic curves. He authored and co-authored more than 100 publications in peer reviewed journals and gave lectures at more than 50 international scientific conferences.

Since May 2012, he is a Full member of the Croatian Academy of Sciences and Arts, and since January 2015 he is Secretary of the Department of Mathematical, Physical and Chemical Sciences and member of the Presidency of the Croatian Academy of Sciences and Arts.