*Some polynomial formulas for Diophantine quadruples*, Mathematikertreffen Zagreb-Graz, Motovun, 23-25.6.1995.*On the exceptional set in the problem of Diophantus and Davenport*, Seventh International Conference on Fibonacci Numbers and Their Applications, Graz, 14-19.7.1996.*A problem of Diophantus and Pell numbers*, Seventh International Conference on Fibonacci Numbers and Their Applications, Graz, 14-19.7.1996.*Complex Diophantine quadruples*, First Croatian Mathematical Congress, Zagreb, 18-20.7.1996.*A problem of Diophantus and Dickson's conjecture*, International Conference on Number Theory (Diophantine, Computational and Algebraic Aspects), Eger, 29.7-2.8.1996.*Complete solution of a family of simultaneous Pellian equations*, 13th Czech and Slovak International Conference on Number Theory, Ostravice, 1-5.9.1997.*A note on Diophantine quintuples*, Conference on Algebraic Number Theory and Diophantine Analysis, Graz, 30.8-5.9.1998.*Diophantine triples and construction of high-rank elliptic curves*, Number Theory Day, Debrecen, 20.11.1998.*A parametric family of elliptic curves*, XXI Journees Arithmetiques, Rome, 12-16.7.1999.*Diophantine*, Lecture of the award winner of the Croatian Mathematical Society Award for Scientific Achievements in Mathematics, Second Croatian Mathematical Congress, Zagreb, 15-17.6.2000.*m*-tuples*An absolute bound for the size of Diophantine*, Second Croatian Mathematical Congress, Zagreb, 15-17.6.2000.*m*-tuples*Bounds for the size of Diophantine*, Colloquium on Number Theory in honor of the 60th birthday of Professors Kalman Gyoery and Andras Sarkozy, Debrecen, 3-7.7.2000. (invited speaker)*m*-tuples*On a problem of Diophantus and Fermat*, Workshop on effective methods for Diophantine equations, Debrecen, 21-27.10.2001. (invited speaker)*Construction of high-rank elliptic curves with non-trivial torsion group*, Second Central European Conference on Cryptography HAJDUCRYPT '02, Debrecen, 4-6.7.2002.*Continued fractions and RSA with small secret exponent*, Third Central European Conference on Cryptology TATRACRYPT 2003, Bratislava, 26-28.6.2003.*On Diophantine quintuple conjecture*, XXIII Journees Arithmetiques, Graz, 6-12.7.2003.*Construction of elliptic curves over*, Workshop on Computational Number Theory, Debrecen, 20-24.10.2003. (invited speaker)**Q**with large rank*On a problem of Diophantus and Euler*, Third Croatian Mathematical Congress, Split, 16-18.6.2004.*Newton's approximants and continued fractions*, Workshop on Number Theoretic Algorithms and Related Topics, Strobl, 27.9.-1.10.2004. (invited speaker)*Asymptotic estimates for the number of Diophantine*, XXIV Journees Arithmetiques, Marseille, 4-8.7.2005.*m*-tuples*Diophantine*, 16th International Congress of the Austrian Mathematical Society, Klagenfurt, 18-23.9.2005. (invited speaker and organizer of an invited session)*m*-tuples and connections with elliptic curves*Diophantine*, Hungarian-Croatian Workshop on Mathematics and Informatics, Debrecen, 6-8.10.2005. (invited speaker and coorganizer)*m*-tuples*High rank elliptic curves with prescribed torsion group*, 6th Central European Conference on Cryptography NYIRCRYPT '06, Nyiregyhaza, 15-17.6.2006.*Diophantine*, Diophantische Approximationen, Oberwolfach, 15-21.4.2007. (invited speaker)*m*-tuples and generalizations*Mordell-Weil groups of elliptic curves induced by Diophantine triples*, XXV Journees Arithmetiques, Edinburgh, 2-6.7.2007.*Construction of high rank elliptic curves and related Diophantine problems*, 7th Symposium on Algebra and Computation (AC 2007), Tokyo, 5-7.12.2007. (invited speaker)*Conjectures and results on the size and number of Diophantine tuples*, Diophantine analysis and related fields, Kyoto, 5.-7.3.2008. (invited speaker)*A variant of Wiener's attack on RSA with small secret exponent*, Eighth Algorithmic Number Theory Symposium ANTS - VIII, Banff, 17.-22.5. 2008. (poster)*A problem of Diophantus, Fermat and Euler and its generalizations*, Fourth Croatian Mathematical Congress, Osijek, 17.-20.6.2008. (plenary lecture)- (with V. Petricevic)
*Strong Diophantine triples*, Fourth Croatian Mathematical Congress, Osijek, 17.-20.6.2008. (poster) *A variant of Wiener's attack on RSA*, 8th Central European Conference on Cryptography, Graz, 2.-4.7.2008.*Elliptic equations*, Winter School on Explicit Methods in Number Theory, Debrecen, 26.-30.1.2009. (instructor)*Strong Diophantine triples*, XXVI Journees Arithmetiques, Saint Etienne, 6.-10.7.2009.*High rank elliptic curves induced by Diophantine triples and congruent numbers*, The 41st Annual Iranian Mathematical Conference, Urmia, 12.-15.9.2010. (invited speaker)*Elliptic curves*, The 41st Annual Iranian Mathematical Conference, Urmia, 12.-15.9.2010. (invited speaker)*Diophantine*, Number Theory and Its Applications. An international conference dedicated to Kalman Gyory, Attila Petho, Janos Pintz and Andras Sarkozy, Debrecen, 4-8.10.2010. (invited speaker)*m*-tuples- (with F. Najman)
*Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization*, 11th Central European Conference on Cryptography, Debrecen, 30.6.-2.7.2011. *On Hall's conjecture*, Fifth Croatian Mathematical Congress, Rijeka, 18.-21.6.2012.- (with A. Jurasic)
*On the size of sets in a polynomial variant of a problem of Diophantus*, Fifth Croatian Mathematical Congress, Rijeka, 18.-21.6.2012. (poster) *On Hall's conjecture and related polynomial Pell's equation*, Fifteenth International Conference on Fibonacci Numbers and Their Applications, Eger, 25.-30.6.2012.*On the existence of rational Diophantine quintuples with the property*, ESI-Miniworkshop on Explicit Problems in Diophantine Analysis and Geometry, Vienna, 29.-30.11.2013. (invited speaker)*D*(*q*)*Root separation for integer polynomials*, Unlikely intersections, Marseille, 3.-7.2.2014. (invited speaker)*Root separation for integer polynomials*, Workshop on Diophantine problems, Graz, 19.-20.5.2014. (invited speaker)*Root separation for integer polynomials*, Representations of*p*-adic groups; A conference dedicated to Marko Tadic on his 60th birthday, Zagreb, 16.-20.6.2014. (invited speaker)*Mordell-Weil groups of elliptic curves induced by Diophantine triples*, First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao, 30.6.-4.7.2014. (invited speaker)*High-rank elliptic curves induced by Diophantine triples*, 29th Journées Arithmétiques, Debrecen, 6.-10.7.2015.*Root separation for reducible integer polynomials*, The Geometry, Algebra and Analysis of Algebraic Numbers, Banff, Canada, 04.-09.10.2015. (invited speaker)*Number Theory and Cryptography*, Novigrad Then and Now, Zadar, Novigrad, Croatia, 16.-17.10.2015. (invited speaker)*There are infinitely many rational Diophantine sextuples*, Computational Aspects of Diophantine Equations, Salzburg, Austria, 15.-19.02.2016. (invited speaker)*On rational Diophantine sextuples*, Sixth Croatian Mathematical Congress, Zagreb, Croatia, 14.-17.6.2016.*There are infinitely many rational Diophantine sextuples*, 5th International Conference on Uniform Distribution Theory (UDT 2016), Sopron, Hungary, 05.-08.07.2016. (invited speaker)*Polynomial root separation*, 23rd Czech and Slovak International Conference on Number Theory, Ostravice, Czech Republic, 28.08.-01.09.2017. (invited speaker)*Triples which are*, Analytic Number Theory and Related Areas, Kyoto, Japan, 30.10.-01.11.2017. (invited speaker)*D*(*n*)-sets for several*n*'s