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

On the local Birkhoff conjecture for convex billiards
V. Kaloshin, A. Sorrentino, Annals of Mathematics 188 (2018) 315–380.

Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle
J. De Simoi, V. Kaloshin, Q. Wei, Annals of Mathematics 186 (2017) 277–314.

An integrable deformation of an ellipse of small eccentricity is an ellipse
A. Avila, J. De Simoi, V. Kaloshin, Annals of Mathematics 184 (2016) 527–558.

Finiteness of central configurations of five bodies in the plane
A. Albouy, V. Kaloshin, Annals of Mathematics 176 (2012) 535–588.

Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I
V. Kaloshin, B. Hunt, Annals of Mathematics 165 (2007) 89–170.

An extension of the Artin-Mazur theorem
V. Kaloshin, The Annals of Mathematics 150 (1999) 729–741.