**Filip Najman:** Elliptic curves over algebraic number fields

October 12, 2011

**Luka Lasic:** Twists of elliptic curves
*y*^{2} = (*x* - *e*_{1})(*x* - *e*_{2})
(*x* - *e*_{3})**Q**(*t*)

November 2, 2011

**Alan Filipin:** New bound for the number of Diophantine quintuples

November 23, 2011

**Ljubica Bacic:**
Problem of extension of parametric family of *D*(4)-triples {*k*+2, 4*k*, 9*k*+6}

January 18, 2012

**Petra Tadic:**
On the specialization homorphism

February 1, 2012

**Matija Kazalicki:**
Congruent numbers and class numbers of imaginary quadratic fields

February 15, 2012

**Ivan Soldo:**
Extensions of some *D*(-1)-triples in imaginary quadratic fields I

April 11, 2012

**Dijana Kreso** (Technische Universität Graz):

An application of Bilu-Tichy theorem to Diophantine equation
^{k} + 2^{k} + ... + (-1)^{x} *x*^{k}
= *g*(*y*)

April 18, 2012

**Ivan Soldo:**
Extensions of some *D*(-1)-triples in imaginary quadratic fields II

April 25, 2012

**Alan Filipin:**
Relative bound for the size of the third element in a *D*(-1)-quadruple

May 2, 2012

**Filip Najman:**
The growth of ranks of elliptic curves in Galois extensions

May 9, 2012

**Sanda Bujacic:**
Grinstead's method for solving simultaneous Pellian equations

May 16, 2012

**Filip Kirsek, Marija Kranjcevic, Petar Kunstek:**
Quantum computing and Shor's factoring algorithm

May 23, 2012

**Matija Kazalicki:**
Modular forms, hypergeometric functions and congruences for binomial sums

May 30, 2012

**Ljubica Bacic:**
On extension of *D*(4)-triple {*k*-2, *k*+2, 4*k*^{3}-4*k*}

June 6, 2012

**Jose Miguel Echarri Hernandez** (Universidad del Pais Vasco, Bilbao):

Reciprocity laws: an approach via torsion points of a Jacobian

June 13, 2012

**Helena Halas:**
Asymmetric diophantine approximations

July 4, 2012

**Ana Grozdanic:**
NTRU cryptosystem and lattices

July 9, 2012

**Gorana Aras-Gazic:**
Approximations by fractions of special type

September 12, 2012

**Petra Tadic:**
Injectivity of the specialization homorphism for elliptic curves
over the field of rational functions in one variable
over number fields

September 19, 2012

**Ana Barbir:**
Zaremba's conjecture

September 26, 2012

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