Andrej Dujella - Lectures on conferences:
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 m -tuples , 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.
An absolute bound for the size of Diophantine
m -tuples , Second Croatian Mathematical Congress , Zagreb, 15-17.6.2000.
Bounds for the size of Diophantine m -tuples ,
Colloquium on Number Theory in honor of the 60th birthday
of Professors Kalman Gyoery and Andras Sarkozy ,
Debrecen, 3-7.7.2000. (invited speaker)
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 Q with
large rank ,
Workshop on Computational
Number Theory , Debrecen, 20-24.10.2003. (invited speaker)
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
m -tuples ,
XXIV Journees Arithmetiques ,
Marseille, 4-8.7.2005.
Diophantine m -tuples and connections with elliptic curves ,
16th International Congress
of the Austrian Mathematical Society ,
Klagenfurt, 18-23.9.2005. (invited speaker and organizer of an invited session)
Diophantine m -tuples ,
Hungarian-Croatian
Workshop on Mathematics and Informatics , Debrecen, 6-8.10.2005. (invited speaker and coorganizer)
High rank elliptic curves with prescribed torsion group ,
6th Central European Conference on Cryptography NYIRCRYPT '06 ,
Nyiregyhaza, 15-17.6.2006.
Diophantine m -tuples and generalizations ,
Diophantische Approximationen ,
Oberwolfach, 15-21.4.2007. (invited speaker)
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 m -tuples ,
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)
(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 D (q ) ,
ESI-Miniworkshop on Explicit Problems
in Diophantine Analysis and Geometry ,
Vienna, 29.-30.11.2013. (invited speaker)
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 D (n )-sets for several n 's ,
Analytic Number Theory and Related Areas ,
Kyoto, Japan, 30.10.-01.11.2017. (invited speaker)
Triples and quadruples which are D (n )-sets for several n 's ,
24th Central European Number Theory Conference ,
Komarno, Slovakia, 01.-06.09.2019.
D (n )-sets with square elements ,
Diophantine Problems, Determinism and Randomness ,
Marseille, 23.-27.11.2020. (invited speaker, online)
Triples, quadruples and quintuples which are D (n )-sets for several n 's ,
International Conference on Class Groups of Number Fields and Related Topics-2021.
A conference celebrating Michel Waldschmidt's 75th birth year honoring his contribution to Mathematics and Education ,
Kozhikode, Kerala, India, 21.-24.10.2021. (invited speaker, online)
Doubly regular Diophantine quadruples ,
Seventh Croatian Mathematical Congress ,
Split, 15.-18.6.2022.
(with Z. Franusic and V. Petricevic) Formulas for some Diophantine quintuples in quadratic fields ,
Seventh Croatian Mathematical Congress ,
Split, 15.-18.6.2022. (poster)
(with M. Kazalicki and V. Petricevic) D(n)-quintuples with square elements ,
Seventh Croatian Mathematical Congress ,
Split, 15.-18.6.2022. (poster)
On elliptic curves induced by rational Diophantine quadruples ,
Number Theory Conference in Honour of Kalman Gyory,
Janos Pintz and Andras Sarkozy , Debrecen, 4.-8.7.2022.
High-rank elliptic curves with given torsion group and some applications ,
Number-Theoretic Methods in Cryptology , Poznan, 29.-31.8.2022. (invited speaker)
D (n )-tuples for several n 's ,
Conference on Diophantine m-tuples and Related Problems III ,
Zagreb, 14.-16.9.2022. (invited speaker)
Rad HAZU - Matematicke znanosti ,
The oldest Croatian journals: continuity, challenges and future ,
Zagreb, 19.10.2022. (invited speaker)
High-rank elliptic curves with given torsion group ,
International Conference on Class Groups of Number Fields and Related Topics-2022 ,
Kozhikode, Kerala, India, 21.-24.11.2022. (invited speaker, online)
High-rank elliptic curves with given torsion group ,
The Quest for the Hidden Simplicity of Noncommutative Harmonic Analysis and Representation Theory - a conference celebrating the 70th birthday of Marko Tadić ,
Zagreb, 24.-28.6.2024. (invited speaker)
Rational Diophantine sextuples with strong pair ,
8th Croatian Mathematical Congress ,
Osijek, 2.-5.7.2024.
Andrej Dujella home page