Croatian          

Seminar on Number Theory and Algebra

University of Zagreb

Leaders of the seminar:

Members of the seminar:

Next seminars:

James Rawson (University of Warwick):
Points on curves with small Galois group
Wednesday, October 2, 2024 at 10:15, in room 104

Petar Orlic: Tetragonal intermediate modular curves
Wednesday, October 9, 2024 at 10:15, in room 104

Alen Andrasek: Intersection multiplicity of plane algebraic curves
Wednesday, October 23, 2024 at 10:15, in room 104

Vjekoslav Kovac: Several irrationality problems for Ahmes series
Wednesday, January 29, 2025 at 10:15, in room A102

PhD thesis defence
Petar Orlić: Gonality of modular curves and their quotients
Wednesday, January 29, 2025 at 14:15, in room A102

Bruno Boric: Irregular primes and the first case of Fermat's last theorem
Wednesday, February 12, 2025 at 10:15, in room 104

Filip Najman: Twist parametrized and isolated points on modular curves
Wednesday, May 14, 2025 at 10:15, in room 104

Ivan Novak: Proof of Baker's theorem
Wednesday, June 4, 2025 at 10:15, in room 104

Kenji Terao (University of Warwick):
Degrees of points with rational j-invariant on X₀(n) and X₁(n)
Wednesday, October 1, 2025 at 10:15, in room 104

Pavao Radic: Extensions of D(4)-pairs {a, ka}
Wednesday, October 8, 2025 at 10:15, in room 104

Maarten Derickx: Explicit descent and class groups of imaginary quadratic points on X₁(16)
Wednesday, October 15, 2025 at 10:15, in room 104

Ana Sumberac: Elliptic curves induced by rational Diophantine quadruples
Wednesday, October 22, 2025 at 10:15, in room 104

Stevan Gajovic (Max Planck Institute for Mathematics Bonn):
Infinitely many genus two and three curves of small fixed positive rank
Wednesday, October 29, 2025 at 10:15, in room 104

Previous seminars:

• 2023/2024
• 2022/2023
• 2021/2022
• 2020/2021
• 2019/2020
• 2018/2019
• 2017/2018
• 2016/2017
• 2015/2016
• 2014/2015
• 2013/2014
• 2012/2013
• 2011/2012
• 2010/2011
• 2009/2010
• 2008/2009
• 2007/2008
• 2006/2007
• 2005/2006
• 2004/2005
• 2003/2004
• 2002/2003
• 2001/2002
• 2000/2001

Graduate courses:

• Application of intersection theory in enumerative geometry (M. Kazalicki) (2024/2025)
• Selected topics in arithmetic geometry (M. Kazalicki) (2023/2024)
• Diophantine equations and Chabauty methods (N. Adzaga) (2023/2024)
• Modular forms, modular curves and Galois representations (M. Kazalicki) (2022/2023)
• Algebraic geometry (F. Najman) (2022/2023)
• Diophantine m-tuples and elliptic curves (A. Dujella) (2021/2022)
• Quantum algorithms and post-quantum cryptography (M. Kazalicki) (2020/2021)
• Galois representation attached to elliptic curves (F. Najman) (2020/2021)
• Diophantine sets (A. Filipin and Z. Franusic) (2019/2020)
• Lagrange and Markov spectra (T. Pejkovic) (2018/2019)
• Class field theory and the theory of complex multiplication (F. Najman) (2017/2018)
• Selected topics in number theory (M. Kazalicki) (2016/2017)
• Arithmetic geometry (F. Najman) (2015/2016)
• Pell equations (A. Filipin) (2014/2015)
• Modular forms (M. Kazalicki) (2013/2014)
• Elliptic curves over number fields (F. Najman) (2012/2013)
• Diophantine approximations and applications (A. Dujella) (2011/2012)
• Linear forms in logarithms and Diophantine analysis (A. Filipin) (2009/2010)
• Algorithms for Elliptic Curves (A. Dujella) (2008/2009)
• Introduction to Arithmetic of Elliptic Curves (I. Gusic) (2007/2008)
• Diophantine Equations (A. Dujella) (2006/2007)
• Riemann Zeta Function (B. Sirola) (2005/2006)
• Introduction to Algebraic Geometry (I. Gusic) (2004/2005)
• Number Theory in Cryptography (A. Dujella) (2003/2004)
• Introduction to Algebraic Number Theory (I. Gusic) (2002/2003)
• Diophantine Approximations (A. Dujella) (1997/1998)

Information on related undergraduate courses:

• Number Theory (A. Dujella)
• Cryptography (A. Dujella)

Elliptic curves and their applications in cryptography (Student seminar) (2002/2003)

Links:

• Representation Theory XIX, Dubrovnik, 22.6.-28.6.2025.
• Modular curves and Galois representations, Zagreb, 18.-22.9.2023.
• Representation Theory XVIII, Dubrovnik, 18.6.-1.7.2023.
• Representation Theory XVII, Dubrovnik, 3.-8.10.2022.
• Conference on Diophantine m-tuples and Related Problems III, Zagreb, 14.-16.9.2022.
• 20th Central European Conference on Cryptology, Zagreb, 24.-26.6.2020.
• Representation Theory XVI, Dubrovnik, 24.-29.6.2019.
• Conference on Diophantine m-tuples and Related Problems II, Westville, 15.-17.10.2018.
• Torsion groups and Galois representations of elliptic curves, Zagreb, 25.-29.6.2018.
• Lectures on computational aspects of algebraic geometry, Zagreb, 13.-17.6.2018.
• Diophantine m-tuples, elliptic curves, Thue and index form equations, Grant supported by Croatian Science Foundation (July 2014 - June 2018)
• Workshop on Number Theory and Algebra (on the occasion of the 60th birthday of Ivica Gusić), Zagreb, 26.-28.11.2014.
• Conference on Diophantine m-tuples and related problems, Westville, 13.-15.11.2014.
• Winter School on Explicit Methods in Number Theory, Debrecen, January 26-30, 2009.
• Diophantine m-tuples page
• High rank elliptic curves with prescribed torsion
• Thue equations
• Glasnik Matematicki
• Number Theory Web
• Number theory groups and seminars
• Mathematics Departments