On the local-global principle for isogenies of abelian surfaces

The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.

Integral points of bounded height on a log Fano threefold
F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.

Some effectivity results for primitive divisors of elliptic divisibility  sequences
M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.

Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups
F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.

Uniform bounds for rational points on hyperelliptic fibrations
D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.

Free rational curves on low degree hypersurfaces and the circle method
T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.

Local solubility for a family of quadrics over a split quadric surface
T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.

Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces
J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.

Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution
T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.

Equidistribution of primitive lattices in dn
T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.

Effective equidistribution of lattice points in positive characteristic
T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.

Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5
T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.

The Bertini irreducibility theorem for higher codimensional slices
P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).

Existence and density problems in Diophantine geometry: From norm forms to Campana points
A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.

Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra &; Number Theory 16 (2022) 2385–2407.

On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.

Integral points on singular del Pezzo surfaces
U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022).

Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).

Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).