@article{12877,
  abstract     = {We consider billiards obtained by removing from the plane finitely many strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which provides a natural labeling of periodic orbits. We show that under suitable symmetry and genericity assumptions, the Marked Length Spectrum determines the geometry of the billiard table.},
  author       = {De Simoi, Jacopo and Kaloshin, Vadim and Leguil, Martin},
  issn         = {1432-1297},
  journal      = {Inventiones Mathematicae},
  pages        = {829--901},
  publisher    = {Springer Nature},
  title        = {{Marked Length Spectral determination of analytic chaotic billiards with axial symmetries}},
  doi          = {10.1007/s00222-023-01191-8},
  volume       = {233},
  year         = {2023},
}

@article{10704,
  abstract     = {We define and study the existence of very stable Higgs bundles on Riemann surfaces, how it implies a precise formula for the multiplicity of the very stable components of the global nilpotent cone and its relationship to mirror symmetry. The main ingredients are the Bialynicki-Birula theory of C∗-actions on semiprojective varieties, C∗ characters of indices of C∗-equivariant coherent sheaves, Hecke transformation for Higgs bundles, relative Fourier–Mukai transform along the Hitchin fibration, hyperholomorphic structures on universal bundles and cominuscule Higgs bundles.},
  author       = {Hausel, Tamás and Hitchin, Nigel},
  issn         = {1432-1297},
  journal      = {Inventiones Mathematicae},
  pages        = {893--989},
  publisher    = {Springer Nature},
  title        = {{Very stable Higgs bundles, equivariant multiplicity and mirror symmetry}},
  doi          = {10.1007/s00222-021-01093-7},
  volume       = {228},
  year         = {2022},
}

@article{7901,
  abstract     = {We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.},
  author       = {Benedikter, Niels P and Nam, Phan Thành and Porta, Marcello and Schlein, Benjamin and Seiringer, Robert},
  issn         = {1432-1297},
  journal      = {Inventiones Mathematicae},
  pages        = {885--979},
  publisher    = {Springer},
  title        = {{Correlation energy of a weakly interacting Fermi gas}},
  doi          = {10.1007/s00222-021-01041-5},
  volume       = {225},
  year         = {2021},
}

@article{8519,
  author       = {Kaloshin, Vadim},
  issn         = {0020-9910},
  journal      = {Inventiones mathematicae},
  keywords     = {General Mathematics},
  number       = {3},
  pages        = {451--512},
  publisher    = {Springer Nature},
  title        = {{The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles}},
  doi          = {10.1007/s00222-002-0244-9},
  volume       = {151},
  year         = {2003},
}