@article{20249,
  abstract     = {We develop a heuristic for the density of integer points on affine cubic surfaces. Our heuristic applies to smooth surfaces defined by cubic polynomials that are log K3, but it can also be adjusted to handle singular cubic surfaces. We compare our heuristic to Heath-Brown’s prediction for sums of three cubes, as well as to asymptotic formulae in the literature around Zagier’s work on the Markoff cubic surface, and work of Baragar and Umeda on further surfaces of Markoff-type. We also test our heuristic against numerical data for several families of cubic surfaces.},
  author       = {Browning, Timothy D and Wilsch, Florian Alexander},
  issn         = {1420-9020},
  journal      = {Selecta Mathematica New Series},
  number       = {4},
  publisher    = {Springer Nature},
  title        = {{Integral points on cubic surfaces: heuristics and numerics}},
  doi          = {10.1007/s00029-025-01074-1},
  volume       = {31},
  year         = {2025},
}

@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},
}

@article{9034,
  abstract     = {We determine an asymptotic formula for the number of integral points of bounded height on a blow-up of P3 outside certain planes using universal torsors.},
  author       = {Wilsch, Florian Alexander},
  issn         = {1687-0247},
  journal      = {International Mathematics Research Notices},
  number       = {8},
  pages        = {6780--6808},
  publisher    = {Oxford University Press},
  title        = {{Integral points of bounded height on a log Fano threefold}},
  doi          = {10.1093/imrn/rnac048},
  volume       = {2023},
  year         = {2023},
}

@unpublished{10788,
  abstract     = {We determine an asymptotic formula for the number of integral points of
bounded height on a certain toric variety, which is incompatible with part of a
preprint by Chambert-Loir and Tschinkel. We provide an alternative
interpretation of the asymptotic formula we get. To do so, we construct an
analogue of Peyre's constant $\alpha$ and describe its relation to a new
obstruction to the Zariski density of integral points in certain regions of
varieties.},
  author       = {Wilsch, Florian Alexander},
  booktitle    = {arXiv},
  keywords     = {Integral point, toric variety, Manin's conjecture},
  title        = {{Integral points of bounded height on a certain toric variety}},
  doi          = {10.48550/arXiv.2202.10909},
  year         = {2022},
}

@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},
}