The bounds for the size of Diophantine m-tuples,
Technische Universität, Graz, 23.3.2001.
The bounds for the size of Diophantine m-tuples,
Montanuniversität, Leoben, 30.3.2001.
High-rank elliptic curves,
Scientific Colloquium of Croatian Mathematical Society, Zagreb, 17.4.2002.
On a problem of Diophantus and Euler,
Technische Universität, Graz, 19.5.2004.
Construction of high-rank elliptic curves,
Mathematical Colloquium, Osijek, 23.3.2006.
Diophantine m-tuples and their generalizations,
Scientific Colloquium of Split Mathematical Society, Split, 27.4.2006.
Integer and rational variants of a problem of Diophantus and Euler,
Tokyo Metropolitan University, 4.12.2007.
A problem of Diophantus and Euler on sets in which xy + x + y is always a square,
Mathematical Colloquium, Osijek, 8.5.2008.
Attacks on RSA cryptosystem,
Seminar on Formal Methods and Applications, Varazdin, 18.2.2009.
Elliptic curves over the rationals,
Universidad del Pais Vasco, Bilbao, 21.10.2009.
Construction of elliptic curves with high rank,
Universidad del Pais Vasco, Bilbao, 22.10.2009.
Number theory and ciphering,
Colloquium of Educational section of Split Mathematical Society, Split, 4.2.2010.
Methods for construction of elliptic curves with high rank,
Scientific Colloquium of Split Mathematical Society, Split, 5.2.2010.
Diophantine m-tuples,
Universidad Nacional Autonoma de Mexico, Morelia, 8.12.2010.
High rank elliptic curves and applications,
ETH Zürich, 18.3.2011.
Diophantine m-tuples and generalizations,
Universidad del Pais Vasco, Bilbao, 9.5.2011.
Polynomial root separation,
Universidad del Pais Vasco, Bilbao, 12.5.2011.
Polynomial root separation,
Technische Universität, Graz, 10.11.2011.
Elliptic curves with large torsion and positive rank over number fields of
small degree and ECM factorization,
Universidad del Pais Vasco, Bilbao, 28.3.2012.
Elliptic curves with large torsion and
positive rank over number fields of small degree,
Technische Universität, Graz, 16.11.2012.
Diophantine m-tuples and generalizations,
Indian Institute of Technology, Mumbai, 15.1.2013.
Elliptic curves with large rank,
Tata Institute of Fundamental Research, Mumbai, 17.1.2013.
Root separation for integer polynomials,
University of Debrecen, 20.9.2013.
High rank elliptic curves and related
Diophantine problems,
Technische Universität, Graz, 21.3.2014.
Diophantine m-tuples,
University of Ljubljana, 27.3.2014.
Number theory and cryptography,
Croatian Academy of Sciences and Arts, Zagreb, 29.5.2014.
(with Z. Franusic) On the size of Diophantine m-tuples,
Scientific Colloquium of Split Mathematical Society, Split, 29.1.2016.
Rational Diophantine sextuples,
Scientific Colloquium of Croatian Mathematical Society, Zagreb, 11.5.2016.
Applications of Diophantine approximations algorithms in
cryptanalysis of RSA,
Faculty of Informatics, University of Debrecen, 24.11.2017.
Rational Diophantine tuples and elliptic curves,
Institut de Recherche Mathématique Avancée, Université de Strasbourg, 10.10.2019.
Elliptic curves and Diophantine m-tuples,
University of Ljubljana, 9.11.2019.
Applications of Diophantine approximations algorithms in
cryptanalysis of RSA,
Mathematics Colloquium, Sabanci University, Istanbul, 27.11.2019.
Triples, quadruples and quintuples which are D(n)-sets for several n's,
Research Seminar Number Theory and Arithmetic Geometry, Hannover, 11.6.2021. (online)
Elliptic curves and Diophantine m-tuples,
UNIC Mathematics Seminar, 19.4.2022. (online)
High-rank elliptic curves with given torsion group,
Online Number Theory Seminar, Debrecen, 21.10.2022. (online)
Diophantine approximations - from the calendar problem to code breaking,
Colloquium of Educational section of Croatian Mathematical Society, Zagreb, 3.5.2023.
Elliptic curves and Diophantine m-tuples,
Seminar, Institute of Mathematics, Jagiellonian University, Krakow, 30.11.2023. (online)
Diophantine m-tuples and elliptic curves,
Seminar, Blessington Christian University, Nkayi, Republic of Congo, 14.6.2024. (online)
High-rank elliptic curves with given torsion group, Mathematical Colloquium,
Osijek, 5.12.2024.