# Göttingen-Hannover Number Theory Workshop

22nd meeting

**Göttingen, 2nd July 2024**

*Diophantine properties of special values of L-functions*

*Covering integers by binary quadratic forms*

## 21st meeting

**Göttingen, 20th November 2023**

*Integral points in families of elliptic curves*

*Various problems of Waring's type*

## 20th meeting

**Hannover, 14th June 2023**

*Arithmetic upon intersection of two quadrics*

*Diagonal cubic forms over Fq(t)*

## 19th meeting

**Online, 30th May 2022**

*Rational points on Fano varieties: freeness and counting*

*Recent work on van der Waerden’s conjecture*

## 18th meeting

**Online, 12 July 2021**

*Uniformity for the Number of Rational Points on a Curve, Part I*

*Uniformity for the Number of Rational Points on a Curve, Part II*

## 17th meeting

**Online, 14 June 2021**

*My PhD (thesis) problem*

*Elliptic divisibility sequences and the elliptic sieve*

## 16th meeting

**Göttingen, 22 January 2020**

*A symplectic restriction problem*

## 15th meeting

**Göttingen, 14 June 2019**

*Quadratic Chabauty and the split Cartan modular curve of level 13*

*On integral points on open degree four del Pezzo surfaces*

## 14th meeting

**Hannover, 21 January 2019**

*Diophantine inequalities for ternary diagonal forms*

*Rational points and prime values of polynomials*

## 13th meeting

**Göttingen, 15 January 2018**

*The number of normal subgroups in finitely generated groups*

*Explicit methods for torsion anomalous intersections*

## 12th meeting

**Göttingen, 13 November 2017**

*Counting integral points on a certain log Fano threefold*

*Equidistribution of rational points on shrinking sets of S*

A juxtaposition of an automorphic and a circle method approach

^{3}:A juxtaposition of an automorphic and a circle method approach

## 11th meeting

**Göttingen, 2 June 2017**

*Spectral reciprocity and moments of L-functions*

*Elliptic surfaces in geometry and arithmetic*

## 10th meeting

**Hannover, 22 January 2017**

*Reductions of points of infinite order on algebraic groups*

*The Manin-Peyre formula for a certain biprojective threefold*

*Manin's conjecture for a family of singular quartic del Pezzo surfaces*

## 9th meeting

**Göttingen, 2 November 2016**

*Higher order divisor problems*

*Manin's conjecture for some spherical threefolds*

*The sieve of Eratosthenes in less space*

## 8th meeting

**Göttingen, 6 June 2016**

*The sphere packing problem in dimensions 8 and 24*

*On the Bombieri-Pila method over function fields*

*Mixing algebra and analysis over finite fields*

## 7th meeting

**Hannover, 8 March 2016**

*The Hasse norm principle for abelian extensions*

*Fourier coefficients of meromorphic modular forms*

*The Generalized Fermat Equation*x

^{2}+ y

^{3}= z

^{11}

## 6th meeting

**Göttingen, 1 February 2016**

*Evaluating certain correlations of eigenvalues of holomorphic cusp forms*

*Representation of squares by cubic forms*

*Differenced cubes and diophantine approximation*

## 5th meeting

**Göttingen, 7 December 2015**

*An asymptotic result for the number of amicable pairs of elliptic curves on average*

*On a certain additive divisor problem*

*Zhao's trick*

## 4th meeting

**Hannover, 9 July 2015**

*Multiplicative functions and nilsequences*

*Sums of two like powers*

*The Hasse principle for generalized Kummer varieties*

## 3rd meeting

**Göttingen, 25 April 2015**

*Simultaneous additive equations: repeated and differing degrees*

*The Hasse principle for lines on cubic surfaces*

*Number fields without n-ary universal quadratic forms*

## 2nd meeting

**Göttingen, 6 February 2015**

*Rational points as lattice points*

*The shifted convolution of divisor functions*

*On the abc conjecture and nuclear numbers*

## 1st meeting

**Göttingen, 21 November 2014**

*Subconvexity for supnorms of automorphic forms on PGL(n)*

*Forms of differing degrees over number fields*

*Random Thue and Fermat equations*