Diophantine equations in primes: Density of prime points on affine hypersurfaces

ZEROES OF POLYNOMIALS WITH PRIME INPUTS AND SCHMIDT’S -INVARIANT

(2019) STANLEY YAO XIAO et al.   CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES

Improvements in Birch’s theorem on forms in many variables

(2017) T. D. Browning et al.   JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

THE QUADRATIC FORM IN NINE PRIME VARIABLES

(2016) LILU ZHAO   NAGOYA MATHEMATICAL JOURNAL

Small gaps between primes

(2015) James Maynard   ANNALS OF MATHEMATICS

Bihomogeneous forms in many variables

(2015) Damaris Schindler   Journal de Theorie des Nombres de Bordeaux

Bounded gaps between primes

(2014) Yitang Zhang   ANNALS OF MATHEMATICS

Diophantine equations in the primes

(2014) Brian Cook et al.   INVENTIONES MATHEMATICAE

An inverse theorem for the Gowers U^(s+1)[N]-norm

(2012) Ben Green et al.   ANNALS OF MATHEMATICS

The Möbius function is strongly orthogonal to nilsequences

(2012) Ben Green et al.   ANNALS OF MATHEMATICS

Linear equations in primes

(2010) Benjamin Green et al.   ANNALS OF MATHEMATICS

Integral points on quadrics with prime coordinates

(2010) Jianya Liu   MONATSHEFTE FUR MATHEMATIK

The primes contain arbitrarily long arithmetic progressions

(2009) Benjamin Green et al.   ANNALS OF MATHEMATICS