Croatian          

Seminar on Number Theory and Algebra

University of Zagreb

Leaders of the seminar:

Members of the seminar:

Next seminars:

Matea Jelic, Jelena Plestina: D(n)-m-tuples in a ring of polynomials
Wednesday, October 28, 2020 at 10:15, online

Antonela Trbovic: Splitting of primes in number fields generated by points on some modular curves
Wednesday, November 4, 2020 at 10:15, online

Goran Drazic, Antonela Trbovic, Borna Vukorepa: Rational Diophantine m-tuples
Wednesday, December 2, 2020 at 11:00, online

Abbey Bourdon (Wake Forest University):
Isolated points on modular curves
Thursday, December 10, 2020 at 15:00, online

Harris Daniels (Amherst College):
Entanglements of division fields of elliptic curves
Tuesday, December 15, 2020 at 16:00, online

Mark van Hoeij (Florida State University):
Modular units and sporadic points
Tuesday, January 12, 2021 at 16:00, online

Barinder Banwait (Harish-Chandra Research Institute, Prayagraj, India):
Explicit isogenies of prime degree over quadratic fields
Wednesday, January 27, 2021 at 10:15, online

Antonela Trbovic: Number fields of small degree generated by points on some modular curves
Wednesday, February 17, 2021 at 10:15, online

Tomislav Guzvic: Torsion of elliptic curves with rational j-invariant over number fields
PhD thesis defence
Friday, February 19, 2021 at 11:00, online

Álvaro Lozano-Robledo (University of Connecticut):
Towards a classification of adelic Galois representations attached to elliptic curves over Q
Thursday, February 25, 2021 at 15:00, online

Jackson Morrow (Emory University):
Sporadic cubic torsion
Tuesday, March 16, 2021 at 16:00, online
https://zoom.us/j/95702478687

Goran Drazic: Rational D(q)-m-tuples
obrana teme disertacije
Wednesday, March 31, 2021 at 10:15, online
https://zoom.us/j/92562604679

Josha Box (University of Warwick):
Computing models for quotients of modular curves
Monday, April 26, 2021 at 17:00, online
https://zoom.us/j/96384363163

Hanson Smith (University of Connecticut):
Monogeneity and torsion
Monday, May 3, 2021 at 16:00, online
https://zoom.us/j/95492906573

Philippe Michaud-Rodgers (University of Warwick):
Fermat's Last Theorem and modular curves over real quadratic fields
Monday, May 17, 2021 at 16:00, online
https://zoom.us/j/98553072273

Borna Vukorepa: Local-global principle for rational isogenies of prime degree
Wednesday, May 26, 2021 at 10:15, online
https://zoom.us/j/91795636730?pwd=WE5zLzNNWTUrSzJWRW9yYnhFZ2dWUT09

Alexander J. Barrios (Carleton College):
Local data of elliptic curves with non-trivial torsion and applications
Monday, May 31, 2021 at 16:00, online
https://zoom.us/j/92994980649

Valentina Pribanic: Computing images of Galois representations of elliptic curves
Wednesday, June 23, 2021 at 10:15, online
https://zoom.us/j/99432583665

Antonela Trbovic: Number fields of small degree generated by points on some modular curves
PhD thesis defence
Wednesday, September 1, 2021 at 9:00, online
https://zoom.us/j/91664741991

Goran Drazic: Rational D(q)-m-tuples
PhD thesis defence
Monday, September 20, 2021 at 14:00, in room 003

Maarten Derickx (Leiden University):
Uniform boundedness of unramified isogenies
Thursday, October 14, 2021 at 10:15, in room A201

Nicolas Billerey (Université Clermont Auvergne):
A new approach towards the generalized Fermat equation of signature (r,r,p)
Wednesday, October 27, 2021 at 10:15, online
https://zoom.us/j/92717637582

Özlem Ejder (Bogazici University):
Isolated points on modular curves
Wednesday, November 24, 2021 at 10:15, in room 104

Previous seminars:

• 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:

• 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:

• Conference on Diophantine m-tuples and Related Problems III, Zagreb, 23.-25.9.2020.
• 20th Central European Conference on Cryptology, Zagreb, 24.-26.6.2020.
• 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