Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
J. De Simoi, V. Kaloshin, M. Leguil, Inventiones Mathematicae 233 (2023) 829–901.

Length spectrum rigidity for piecewise analytic Bunimovich billiards
J. Chen, V. Kaloshin, H.K. Zhang, Communications in Mathematical Physics (2023).

On some invariants of Birkhoff billiards under conjugacy
E. Koudjinan, V. Kaloshin, Regular and Chaotic Dynamics 27 (2022) 525–537.

Non co-preservation of the 1/2 and  1/(2l+1)-rational caustics along deformations of circles
V. Kaloshin, E. Koudjinan, (2021).

Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom
V. Kaloshin, K. Zhang, Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom, 1st ed., Princeton University Press, 2020.

Marked length spectrum, homoclinic orbits and the geometry of open dispersing billiards
P. Bálint, J. De Simoi, V. Kaloshin, M. Leguil, Communications in Mathematical Physics 374 (2019) 1531–1575.

On the finite dimensionality of integrable deformations of strictly convex integrable billiard tables
G. Huang, V. Kaloshin, Moscow Mathematical Journal 19 (2019) 307–327.

Asymptotic density of collision orbits in the Restricted Circular Planar 3 Body Problem
M. Guardia, V. Kaloshin, J. Zhang, Archive for Rational Mechanics and Analysis 233 (2019) 799–836.

Global instability in the restricted planar elliptic three body problem
A. Delshams, V. Kaloshin, A. de la Rosa, T.M. Seara, Communications in Mathematical Physics 366 (2018) 1173–1228.

On the integrability of Birkhoff billiards
V. Kaloshin, A. Sorrentino, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376 (2018).

Density of convex billiards with rational caustics
V. Kaloshin, K. Zhang, Nonlinearity 31 (2018) 5214–5234.

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

Nearly circular domains which are integrable close to the boundary are ellipses
G. Huang, V. Kaloshin, A. Sorrentino, Geometric and Functional Analysis 28 (2018) 334–392.

Nonisometric domains with the same Marvizi-Melrose invariants
L. Buhovsky, V. Kaloshin, Regular and Chaotic Dynamics 23 (2018) 54–59.

On the marked length spectrum of generic strictly convex billiard tables
G. Huang, V. Kaloshin, A. Sorrentino, Duke Mathematical Journal 167 (2017) 175–209.

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.

A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems
M. Guardia, V. Kaloshin, J. Zhang, Communications in Mathematical Physics 348 (2016) 321–361.

Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
P. Bernard, V. Kaloshin, K. Zhang, Acta Mathematica 217 (2016) 1–79.

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.

Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem
J. Féjoz, M. Guàrdia, V. Kaloshin, P. Roldán, Journal of the European Mathematical Society 18 (2016) 2315–2403.