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1. Counting rational points on biquadratic hypersurfaces

2. Density of rational points on a quadric bundle in $\mathbb{P}^3\times \mathbb{P}^3$

3. Counting rational points on quadric surfaces

4. Averages of arithmetic functions over principal ideals

5. Many cubic surfaces contain rational points

6. Counting rational points on quartic del Pezzo surfaces with a rational conic

7. Twisted Linnik implies optimal covering exponent for $S^3$

8. Power-free values of polynomials on symmetric varieties

9. Failures of weak approximation in families

10. Forms in many variables and differing degrees

11. Improvements in Birch's theorem on forms in many variables

12. Varieties with too many rational points

13. Counting rational points on del Pezzo surfaces with a conic bundle structure

15. The polynomial sieve and equal sums of like polynomials

16. Pairs of diagonal quadratic forms and linear correlations among sums of two squares

17. Contre-exemples au principe de Hasse pour certains tores coflasques

18. Density of Ch\^atelet surfaces failing the Hasse principle

19. Inclusive J/psi production in pp collisions at sqrt(s) = 2.76 TeV

20. Quadratic polynomials represented by norm forms

21. Rational points on singular intersections of quadrics

22. Sums of three squareful numbers

23. Inhomogeneous quadratic congruences

24. Averages of shifted convolutions of $d_3(n)$

25. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces

26. Binary forms as sums of two squares and Ch\^atelet surfaces

27. The divisor problem for binary cubic forms

28. On Manin's conjecture for a family of Ch\^atelet surfaces

29. Least zero of a cubic form

30. Linear growth for Ch\^atelet surfaces

31. Le probl\`eme des diviseurs pour des formes binaires de degr\'e 4

32. Manin's conjecture for quartic del Pezzo surfaces with a conic fibration

33. Rational points on cubic hypersurfaces that split off a form

34. Manin's conjecture for a cubic surface with D_5 singularity

35. Solubility of Fermat equations

36. Binary linear forms as sums of two squares

37. Manin's conjecture for a quartic del Pezzo surface with A_4 singularity

38. Counting rational points on cubic hypersurfaces

39. The Manin conjecture in dimension 2

40. Rational points on quartic hypersurfaces

41. Integral points on cubic hypersurfaces

42. Sums of arithmetic functions over values of binary forms

43. Density of integer solutions to diagonal quadratic forms

44. On the representation of integers by quadratic forms

45. An overview of Manin's conjecture for del Pezzo surfaces

46. On Manin's conjecture for a certain singular cubic surface

47. Simultaneous equal sums of three powers

48. Equal sums of like polynomials

49. Plane curves in boxes and equal sums of two powers

50. The density of rational points on non-singular hypersurfaces, II

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