@unpublished{10788,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},
}

@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},
  publisher    = {Cambridge University Press},
  title        = {{Integral points on singular del Pezzo surfaces}},
  doi          = {10.1017/S1474748022000482},
  year         = {2022},
}

@article{12776,
  abstract     = {An improved asymptotic formula is established for the number of rational points of bounded height on the split smooth del Pezzo surface of degree 5. The proof uses the five conic bundle structures on the surface.},
  author       = {Browning, Timothy D},
  issn         = {1076-9803},
  journal      = {New York Journal of Mathematics},
  pages        = {1193 -- 1229},
  publisher    = {State University of New York},
  title        = {{Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5}},
  volume       = {28},
  year         = {2022},
}

@article{8742,
  abstract     = {We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five. As one ranges over the zeros of such quadratic forms, we use the sieve to compute the density of coprime values of polynomials, and furthermore, to address a question about local solubility in families of varieties parameterised by the zeros.},
  author       = {Browning, Timothy D and Heath-Brown, Roger},
  issn         = {1435-5337},
  journal      = {Forum Mathematicum},
  number       = {1},
  pages        = {147--165},
  publisher    = {De Gruyter},
  title        = {{The geometric sieve for quadrics}},
  doi          = {10.1515/forum-2020-0074},
  volume       = {33},
  year         = {2021},
}