Local strong Birkhoff conjecture and local spectral rigidity of almost every ellipse
I. Koval, Inventiones Mathematicae (2025).

Every diffeomorphism is a total renormalization of a close to identity map
P. Berger, N. Gourmelon, M. Helfter, Inventiones Mathematicae 239 (2024) 431–468.

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

Very stable Higgs bundles, equivariant multiplicity and mirror symmetry
T. Hausel, N. Hitchin, Inventiones Mathematicae 228 (2022) 893–989.

Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.

The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.