**Luka Lasic:** Heights of algebraic numbers

October 3, 2007

**Biserka Drascic Ban:**
Diophantine equations *x*^{p} + *y*^{q} =
*z*^{r}

October 10, 2007

**Alan Filipin:** Quantitative unit sum number problem

October 24, 2007

**Clemens Heuberger** (Technische Universität Graz):

Complete solution of Thomas' family of Thue equations over imaginary quadratic
number fields

October 29, 2007

**Günter Lettl** (Karl-Franzens-Universität Graz):

From algebraic number theory to combinatorial problems in group theory ...
and back again

November 14, 2007

**Neda Lovricevic:**
Special cases of Catalan's conjecture - even exponents

November 21, 2007

**Petra Tadic:** Elliptic surfaces

November 28, 2007

**Wayne Raskind** (University of Southern California, Los Angeles):

Totally degenerate reduction and the conjectures of Hodge and Tate

November 28, 2007

**Ljerka Jukic:** Runge's method for Diophantine equations

December 12, 2007

**Alan Filipin:** Every *D*(4)-quintuple contains a regular quadruple

February 20, 2008

**Alan Filipin:** The unit sum number problem for pure quartic complex fields

March 19, 2008

**Zvonko Cerin:** Formulas for sum of squares for the members of certain integer sequences

March 26, 2008

**Mirela Jukic Bokun:** Some methods for the construction of elliptic curves with high rank

April 2, 2008

**Mirela Jukic Bokun:** Elliptic curves with nontrivial torsion group and high rank

April 16, 2008

**Filip Najman:** Algorithms for solving diophantine equations
*ax*^{2} - *by*^{2} = *c*

April 23, 2008

**Filip Najman:** Algorithms for solving diophantine equations
*ax*^{2} - *by*^{2} = *c*, II

April 30, 2008

**Luka Lasic:** Heights on elliptic curves

May 28, 2008

**Bernadin Ibrahimpasic:** Cryptanalysis of LUC cryptosystem with short secret exponent

June 4, 2008

**Clemens Fuchs** (ETH Zürich):

Equations involving multi-recurrences and a new variant of a problem of Diophantus

June 11, 2008

**Sarah Michele Rajtmajer:** Singular cubic curves

June 11, 2008

**Tomislav Pejkovic:** **Q**(E[3]) for
*E* : *y*^{2} = *x*^{3} + *x*

June 11, 2008

**Filip Najman:**
Torsion points and division polynomials

June 18, 2008

**Ivan Soldo:** General Weierstrass equation

June 18, 2008

**Kristina Krulic:** Minimal equation

June 18, 2008

**Ivan Tomasic** (Queen Mary, University of London):

Twisted theorem of Chebotarev

July 7, 2008

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