Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3

Kaloshin V, Sorrentino A. On the local Birkhoff conjecture for convex billiards. Annals of Mathematics. 2018;188(1):315-380. doi:10.4007/annals.2018.188.1.6

De Simoi J, Kaloshin V, Wei Q. Dynamical spectral rigidity among Z2-symmetric strictly convex domains close to a circle. Annals of Mathematics. 2017;186(1):277-314. doi:10.4007/annals.2017.186.1.7

Avila A, De Simoi J, Kaloshin V. An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics. 2016;184(2):527-558. doi:10.4007/annals.2016.184.2.5

Albouy A, Kaloshin V. Finiteness of central configurations of five bodies in the plane. Annals of Mathematics. 2012;176(1):535-588. doi:10.4007/annals.2012.176.1.10

Kaloshin V, Hunt B. Stretched exponential estimates on growth of the number of periodic points for prevalent diffeomorphisms I. Annals of Mathematics. 2007;165(1):89-170. doi:10.4007/annals.2007.165.89

Kaloshin V. An extension of the Artin-Mazur theorem. The Annals of Mathematics. 1999;150(2):729-741. doi:10.2307/121093