@article{13091,
  abstract     = {We use a function field version of the Hardy–Littlewood circle method to study the locus of free rational curves on an arbitrary smooth projective hypersurface of sufficiently low degree. On the one hand this allows us to bound the dimension of the singular locus of the moduli space of rational curves on such hypersurfaces and, on the other hand, it sheds light on Peyre’s reformulation of the Batyrev–Manin conjecture in terms of slopes with respect to the tangent bundle.},
  author       = {Browning, Timothy D and Sawin, Will},
  issn         = {1944-7833},
  journal      = {Algebra and Number Theory},
  number       = {3},
  pages        = {719--748},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Free rational curves on low degree hypersurfaces and the circle method}},
  doi          = {10.2140/ant.2023.17.719},
  volume       = {17},
  year         = {2023},
}

@article{9199,
  abstract     = {We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on "freeness" for rational points of bounded height on Fano
varieties.},
  author       = {Browning, Timothy D and Horesh, Tal and Wilsch, Florian Alexander},
  issn         = {1944-7833},
  journal      = {Algebra & Number Theory},
  number       = {10},
  pages        = {2385--2407},
  publisher    = {Mathematical Sciences Publishers},
  title        = {{Equidistribution and freeness on Grassmannians}},
  doi          = {10.2140/ant.2022.16.2385},
  volume       = {16},
  year         = {2022},
}