@article{15338,
  abstract     = {We introduce a new class of generalised quadratic forms over totally real number fields, which is rich enough to capture the arithmetic of arbitrary systems of quadrics over the rational numbers. We explore this connection through a version of the Hardy–Littlewood circle method over number fields.},
  author       = {Browning, Timothy D and Pierce, Lillian B. and Schindler, Damaris},
  issn         = {1475-3030},
  journal      = {Journal of the Institute of Mathematics of Jussieu},
  number       = {6},
  pages        = {2859--2912},
  publisher    = {Cambridge University Press},
  title        = {{Generalised quadratic forms over totally real number fields}},
  doi          = {10.1017/S1474748024000161},
  volume       = {23},
  year         = {2024},
}

@article{10018,
  abstract     = {In order to study integral points of bounded log-anticanonical height on weak del Pezzo surfaces, we classify weak del Pezzo pairs. As a representative example, we consider a quartic del Pezzo surface of singularity type A1 + A3 and prove an analogue of Manin's conjecture for integral points with respect to its singularities and its lines.},
  author       = {Derenthal, Ulrich and Wilsch, Florian Alexander},
  issn         = {1475-3030 },
  journal      = {Journal of the Institute of Mathematics of Jussieu},
  keywords     = {Integral points, del Pezzo surface, universal torsor, Manin’s conjecture},
  number       = {3},
  pages        = {1259--1294},
  publisher    = {Cambridge University Press},
  title        = {{Integral points on singular del Pezzo surfaces}},
  doi          = {10.1017/S1474748022000482},
  volume       = {23},
  year         = {2024},
}