@misc{soberon-2026-barany-larman-primes,
  title = {{The topological Bárány–Larman conjecture for prime numbers}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2609.37876},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.37876}
}

@misc{soberon-2026-discrepancy-tverberg-regression,
  title = {{Discrepancy theory, Tverberg's theorem, and regression depth}},
  author = {Aleksey Lopez and Pablo Soberón},
  year = {2026},
  eprint = {2609.24775},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24775}
}

@misc{soberon-2026-helly-radon-flats,
  title = {{Helly and Radon theorems for convex intersections containing k-flats}},
  author = {Sarah Ludwigson and Pablo Soberón},
  year = {2026},
  eprint = {2608.27189},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27189}
}

@misc{soberon-2026-four-hyperplanes,
  title = {{Four hyperplanes do not always equipartition a mass in ℝ⁴}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2608.23312},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.23312}
}

@misc{soberon-2026-moment-curve-blocking,
  title = {{Blocking codimension-one simplices on the moment curve}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2608.09829},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.09829}
}

@misc{soberon-2026-selection-borsuk-ulam,
  title = {{Selection-structure generalizations of the Borsuk–Ulam theorem}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2607.21410},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.21410}
}

@misc{soberon-2026-beyond-matroids,
  title = {{KKM theorems and discrete geometry beyond matroids}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2606.16832},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.16832}
}

@misc{soberon-2026-convex-splinters,
  title = {{Variations of Helly's theorem for convex splinters}},
  author = {Pablo Soberón and Iris Ye},
  year = {2026},
  eprint = {2606.23437},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.23437}
}

@misc{soberon-2026-tverberg-cores,
  title = {{Tverberg cores and Kalai’s cascade conjecture}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2605.21305},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.21305}
}

@misc{soberon-2026-sierksma-seven-points,
  title = {{An elementary proof of Sierksma's conjecture for seven points in the plane}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2604.18485},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2604.18485}
}

@misc{soberon-2026-high-dimensional-envy-free,
  title = {{High-dimensional envy-free partitions}},
  author = {Christina Yu and Pablo Soberón},
  year = {2026},
  eprint = {2311.09905},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2311.09905},
  note = {Comb. Theory 6, no. 1, Paper No. 11, 19 pp.}
}

@misc{soberon-2026-fair-distribution-bundles,
  title = {{Fair distribution of bundles}},
  author = {Pablo Soberón},
  year = {2026},
  eprint = {2507.13421},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2507.13421},
  note = {Proc. Amer. Math. Soc. 154, no. 7, 3085–3097.}
}

@misc{soberon-2025-mass-assignments-spheres-wedges,
  title = {{Partitions of mass assignments with spheres and wedges}},
  author = {Deron Lessure and Pablo Soberón},
  year = {2025},
  eprint = {2507.06919},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2507.06919},
  note = {Accepted in European Journal of Combinatorics}
}

@misc{soberon-2025-krasnosselsky-colorful-quantitative,
  title = {{Colorful and Quantitative Variations of Krasnosselsky's Theorem}},
  author = {Connor Donovan and Danielle Paulson and Pablo Soberón},
  year = {2025},
  eprint = {2304.04828},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2304.04828},
  note = {Studia Sci. Math. Hungar. 62 (2025), no. 4, 336–353.}
}

@misc{soberon-2025-tverberg-partition-graphs,
  title = {{Tverberg Partition Graphs}},
  author = {Deborah Oliveros and Érika Roldán and Pablo Soberón and Antonio J. Torres},
  year = {2025},
  eprint = {2310.08563},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2310.08563},
  note = {SIAM J. Discrete Math. 39 (2), 863–880.}
}

@misc{soberon-2025-discrete-helly-boxes,
  title = {{Extensions of discrete Helly theorems for boxes}},
  author = {Timothy Edwards and Pablo Soberón},
  year = {2025},
  eprint = {2404.14308},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2404.14308},
  note = {SIAM J. Discrete Math. 39 (2), 1349–1362.}
}

@misc{soberon-2025-tverberg-support-vector-machines,
  title = {{Tverberg's theorem and multi-class support vector machines}},
  author = {Pablo Soberón},
  year = {2025},
  eprint = {2404.16724},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2404.16724},
  doi = {10.3934/fods.2024039},
  note = {Found. Data Sci. 7 (2), 568–580.}
}

@misc{soberon-2025-cookie-cutters,
  title = {{Cookie cutters: Bisections with fixed shapes}},
  author = {Patrick Schnider and Pablo Soberón},
  year = {2025},
  eprint = {2502.17176},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2502.17176},
  note = {Adv. in Appl. Math. 171, Paper No. 102957, 15 pp.}
}

@misc{soberon-2024-yao-yao-central-transversals,
  title = {{Generalizations of the Yao–Yao partition theorem and the central transversal theorem}},
  author = {Michael N. Manta and Pablo Soberón},
  year = {2024},
  eprint = {2107.06233},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2107.06233},
  note = {Discrete Comput. Geom. 71 (4), 1381–1402.}
}

@misc{soberon-2024-mass-assignments-flags,
  title = {{Bisections of mass assignments using flags of affine spaces}},
  author = {Ilani Axelrod-Freed and Pablo Soberón},
  year = {2024},
  eprint = {2109.13106},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2109.13106},
  note = {Discrete Comput. Geom. 72 (2), 550–568.}
}

@misc{soberon-2024-tverberg-polytopes,
  title = {{Improved Tverberg theorems for certain families of polytopes}},
  author = {Pablo Soberón and Shira Zerbib},
  year = {2024},
  eprint = {2404.11533},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2404.11533},
  note = {Accepted to Discrete Comput. Geom.}
}

@misc{soberon-2024-mass-assignments-parallel,
  title = {{Bisections of mass assignments by parallel hyperplanes}},
  author = {Nikola Sadovek and Pablo Soberón},
  year = {2024},
  eprint = {2412.04058},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2412.04058}
}

@misc{soberon-2024-complex-tverberg-vrecica,
  title = {{Complex analogues of the Tverberg–Vrećica conjecture and central transversal theorems}},
  author = {Nikola Sadovek and Pablo Soberón},
  year = {2026},
  eprint = {2408.14337},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2408.14337},
  note = {Trans. Amer. Math. Soc. 379 (2026), no. 5, 3665–3691.}
}

@misc{soberon-2024-bisecting-parallel-families,
  title = {{Bisecting masses with families of parallel hyperplanes}},
  author = {Alfredo Hubard and Pablo Soberón},
  year = {2024},
  eprint = {2404.14320},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2404.14320}
}

@misc{soberon-2023-hyperplane-depth,
  title = {{Combinatorial Depth Measures for Hyperplane Arrangements}},
  author = {Patrick Schnider and Pablo Soberón},
  year = {2023},
  eprint = {2302.07768},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2302.07768},
  doi = {10.4230/LIPIcs.SoCG.2023.55},
  note = {39th International Symposium on Computational Geometry, Art. No. 55, 14 pp., LIPIcs 258.}
}

@misc{soberon-2023-lifting-mass-partitions,
  title = {{Lifting methods in mass partition problems}},
  author = {Pablo Soberón and Yuki Takahashi},
  year = {2023},
  eprint = {2109.03749},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2109.03749},
  doi = {10.1093/imrn/rnac224},
  note = {Int. Math. Res. Not. IMRN 2023 (16), 14103–14130.}
}

@misc{soberon-2022-more-participants-than-allocations,
  title = {{Fair distributions for more participants than allocations}},
  author = {Pablo Soberón},
  year = {2022},
  eprint = {2110.03600},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2110.03600},
  note = {Proc. Amer. Math. Soc., Ser. B 9, 404–414.}
}

@misc{soberon-2022-colorful-hyperplane-counterexamples,
  title = {{Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes}},
  author = {João Pedro Carvalho and Pablo Soberón},
  year = {2022},
  eprint = {2108.07680},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2108.07680},
  note = {Acta Mathematica Hungarica 167, 385–392.}
}

@misc{soberon-2022-mass-partitions-survey,
  title = {{A survey of mass partitions}},
  author = {Edgardo Roldán-Pensado and Pablo Soberón},
  year = {2022},
  eprint = {2010.00478},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2010.00478},
  note = {Bull. Amer. Math. Soc. 59 (2), 227–267.}
}

@misc{soberon-2022-colorful-tverberg-tolerance,
  title = {{Tolerance for colorful Tverberg partitions}},
  author = {Sherry Sarkar and Pablo Soberón},
  year = {2022},
  eprint = {2005.13495},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2005.13495},
  note = {European J. Combin. 103, Paper No. 103527.}
}

@misc{soberon-2022-volumetric-helly-copies,
  title = {{Isometric and affine copies of a set in volumetric Helly results}},
  author = {John A. Messina and Pablo Soberón},
  year = {2022},
  eprint = {2010.04135},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2010.04135},
  note = {Comput. Geom. 103, Paper No. 101855.}
}

@misc{soberon-2021-concave-functions,
  title = {{Quantitative combinatorial geometry for concave functions}},
  author = {Sherry Sarkar and Alexander Xue and Pablo Soberón},
  year = {2021},
  eprint = {1908.04438},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1908.04438},
  note = {J. Combin. Theory Ser. A 182, Article 105465.}
}

@misc{soberon-2021-balanced-partitions-lines,
  title = {{Balanced convex partitions of lines in the plane}},
  author = {Alexander Xue and Pablo Soberón},
  year = {2021},
  eprint = {1910.06231},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1910.06231},
  note = {Discrete Comput. Geom. 66 (3), 1150–1167.}
}

@misc{soberon-2021-tverberg-disks-hamiltonian,
  title = {{Tverberg's theorem, disks, and Hamiltonian cycles}},
  author = {Pablo Soberón and Yaqian Tang},
  year = {2021},
  eprint = {2011.12218},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2011.12218},
  note = {Ann. Comb. 25, 995–1005.}
}

@misc{soberon-2021-finite-groups-polytopes,
  title = {{Finite groups as prescribed polytopal symmetries}},
  author = {Alexandru Chirvasitu and Frieder Ladisch and Pablo Soberón},
  year = {2021},
  eprint = {1907.10022},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1907.10022},
  note = {Israel J. Math. 245 (1), 75–91.}
}

@misc{soberon-2021-diameter-helly-melange,
  title = {{A mélange of diameter Helly-type theorems}},
  author = {Travis Dillon and Pablo Soberón},
  year = {2021},
  eprint = {2008.13737},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2008.13737},
  note = {SIAM J. Discrete Math. 35 (3), 1615–1627.}
}

@misc{soberon-2021-prescribing-polytope-symmetries,
  title = {{Prescribing Symmetries and Automorphisms for Polytopes}},
  author = {Egon Schulte and Pablo Soberón and Gordon Ian Williams},
  year = {2021},
  eprint = {1902.05439},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1902.05439},
  note = {Polytopes and Discrete Geometry, Contemporary Mathematics 764, American Mathematical Society, 221–233.}
}

@misc{soberon-2020-topological-tverberg-beyond-prime-powers,
  title = {{The topological Tverberg problem beyond prime powers}},
  author = {Florian Frick and Pablo Soberón},
  year = {2020},
  eprint = {2005.05251},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2005.05251}
}

@misc{soberon-2020-rectilinear-crossings-spiders,
  title = {{A Note on the Maximum Rectilinear Crossing Number of Spiders}},
  author = {Joshua Fallon and Kirsten Hogenson and Lauren Keough and Mario Lomelí and Marcus Schaefer and Pablo Soberón},
  year = {2020},
  eprint = {1808.00385},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1808.00385},
  note = {J. Combin. Math. Combin. Comput. 113, 127–139.}
}

@misc{soberon-2019-tverberg-weak-nets,
  title = {{Tverberg partitions as weak epsilon-nets}},
  author = {Pablo Soberón},
  year = {2019},
  eprint = {1711.11496},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1711.11496},
  note = {Combinatorica 39 (2), 447–458.}
}

@misc{soberon-2019-cutting-many-measures,
  title = {{Cutting a part of many measures}},
  author = {Pavle V. M. Blagojević and Nevena Palić and Pablo Soberón and Günter M. Ziegler},
  year = {2019},
  eprint = {1710.05118},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1710.05118},
  note = {Forum of Mathematics, Sigma 7, E37.}
}

@misc{soberon-2018-robust-random-choice,
  title = {{Robust Tverberg and colorful Carathéodory results via random choice}},
  author = {Pablo Soberón},
  year = {2018},
  eprint = {1606.08790},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1606.08790},
  note = {Combinatorics, Probability and Computing 27 (3), 427–440.}
}

@misc{soberon-2018-tverberg-fifty-years,
  title = {{Tverberg’s theorem is 50 years old: a survey}},
  author = {Imre Bárány and Pablo Soberón},
  year = {2018},
  eprint = {1712.06119},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1712.06119},
  note = {Bull. Amer. Math. Soc. 55 (4), 459–492.}
}

@misc{soberon-2018-tverberg-plus-minus,
  title = {{Tverberg plus minus}},
  author = {Imre Bárány and Pablo Soberón},
  year = {2018},
  eprint = {1612.05630},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1612.05630},
  note = {Discrete Comput. Geom. 60 (3), 588–598.}
}

@misc{soberon-2018-thieves-sandwiches,
  title = {{Thieves can make sandwiches}},
  author = {Pavle V. M. Blagojević and Pablo Soberón},
  year = {2018},
  eprint = {1706.03640},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1706.03640},
  note = {Bull. London Math. Soc. 50 (1), 108–123.}
}

@misc{soberon-2017-graph-homomorphism-partition-function,
  title = {{Computing the Partition Function for Graph Homomorphisms}},
  author = {Alexander Barvinok and Pablo Soberón},
  year = {2017},
  eprint = {1410.1842},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1410.1842},
  note = {Combinatorica 37 (4), 633–650.}
}

@misc{soberon-2017-quantitative-pq,
  title = {{Quantitative (p, q) theorems in combinatorial geometry}},
  author = {David Rolnick and Pablo Soberón},
  year = {2017},
  eprint = {1504.01642},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1504.01642},
  note = {Discrete Math. 340 (10), 2516–2527.}
}

@misc{soberon-2017-quantitative-tverberg-lattices,
  title = {{Quantitative Tverberg theorems over lattices and other discrete sets}},
  author = {Jesús A. De Loera and Reuben N. La Haye and David Rolnick and Pablo Soberón},
  year = {2017},
  eprint = {1603.05525},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1603.05525},
  note = {Discrete Comput. Geom. 58 (2), 435–458.}
}

@misc{soberon-2017-tensors-colors-convex-hulls,
  title = {{Tensors, colors, and convex hulls}},
  author = {Pablo Soberón},
  year = {2017},
  note = {Discrete Geometry and Convexity: in honour of Imre Bárány, edited by Gergely Ambrus, Károly J. Böröczky and Zoltán Füredi, 97–101. ISBN 978 963 279 963 6.}
}

@misc{soberon-2017-helly-new-variations-survey,
  title = {{Helly’s Theorem: New Variations and Applications}},
  author = {Nina Amenta and Jesús A. De Loera and Pablo Soberón},
  year = {2017},
  eprint = {1508.07606},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1508.07606},
  note = {Algebraic and Geometric Methods in Discrete Mathematics, Contemporary Mathematics 685, American Mathematical Society, 55–95.}
}

@misc{soberon-2017-quantitative-continuous-parameters,
  title = {{Quantitative combinatorial geometry for continuous parameters}},
  author = {Jesús A. De Loera and Reuben N. La Haye and David Rolnick and Pablo Soberón},
  year = {2017},
  eprint = {1603.05523},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1603.05523},
  note = {Discrete Comput. Geom. 57 (2), 318–334.}
}

@misc{soberon-2017-positive-fraction-weak-nets,
  title = {{Positive-fraction intersection results and variations of weak epsilon-nets}},
  author = {Alexander Magazinov and Pablo Soberón},
  year = {2017},
  eprint = {1506.02191},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1506.02191},
  note = {Monatshefte für Mathematik 183 (1), 165–176.}
}

@misc{soberon-2016-algorithms-tverberg-centerpoints,
  title = {{Algorithms for Tverberg's theorem via centerpoint theorems}},
  author = {David Rolnick and Pablo Soberón},
  year = {2016},
  eprint = {1601.03083},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1601.03083}
}

@misc{soberon-2016-helly-diameter,
  title = {{Helly-type theorems for the diameter}},
  author = {Pablo Soberón},
  year = {2016},
  eprint = {1509.07908},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1509.07908},
  note = {Bull. London Math. Soc. 48 (4), 577–588.}
}

@misc{soberon-2016-graph-homomorphisms-multiplicities,
  title = {{Computing the Partition Function for Graph Homomorphisms with Multiplicities}},
  author = {Alexander Barvinok and Pablo Soberón},
  year = {2016},
  eprint = {1406.1771},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1406.1771},
  note = {J. Combin. Theory Ser. A 137, 1–26.}
}

@misc{soberon-2016-fixed-direction-hyperplanes,
  title = {{Measure Partitions Using Hyperplanes with Fixed Directions}},
  author = {Roman N. Karasev and Edgardo Roldán-Pensado and Pablo Soberón},
  year = {2016},
  eprint = {1408.4830},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1408.4830},
  note = {Israel J. Math. 212 (2), 705–708.}
}

@misc{soberon-2015-erdos-grunbaum-piercing,
  title = {{About an Erdős–Grünbaum conjecture concerning piercing of non bounded convex sets}},
  author = {Amanda Montejano and Luis Montejano and Edgardo Roldán-Pensado and Pablo Soberón},
  year = {2015},
  eprint = {1407.0642},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1407.0642},
  note = {Discrete Comput. Geom. 53 (4), 941–950.}
}

@misc{soberon-2015-dolnikov-problem,
  title = {{On a Problem by Dol’nikov}},
  author = {Jesús Jerónimo-Castro and Alexander Magazinov and Pablo Soberón},
  year = {2015},
  eprint = {1310.4714},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1310.4714},
  note = {Discrete Math. 338 (9), 1577–1585.}
}

@misc{soberon-2015-equal-coefficients,
  title = {{Equal coefficients and tolerance in coloured Tverberg partitions}},
  author = {Pablo Soberón},
  year = {2015},
  eprint = {1204.1202},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1204.1202},
  note = {Combinatorica 35 (2), 235–252.}
}

@misc{soberon-2014-yao-yao-extension,
  title = {{An Extension of a Theorem by Yao & Yao}},
  author = {Edgardo Roldán-Pensado and Pablo Soberón},
  year = {2014},
  eprint = {1112.5737},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1112.5737},
  note = {Discrete Comput. Geom. 51 (2), 285–289.}
}

@misc{soberon-2012-balanced-convex-measures,
  title = {{Balanced Convex Partitions of Measures in ℝᵈ}},
  author = {Pablo Soberón},
  year = {2012},
  eprint = {1010.6191},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/1010.6191},
  doi = {10.1112/S0025579311001914},
  note = {Mathematika 58, 71–76.}
}

@misc{soberon-2012-generalisation-tverberg,
  title = {{A Generalisation of Tverberg’s Theorem}},
  author = {Pablo Soberón and Ricardo Strausz},
  year = {2012},
  doi = {10.1007/s00454-011-9379-z},
  note = {Discrete Comput. Geom. 47 (3), 455–460.}
}

@misc{soberon-2011-piercing-balanced-families,
  title = {{Piercing Numbers for Balanced and Unbalanced Families}},
  author = {Luis Montejano and Pablo Soberón},
  year = {2011},
  doi = {10.1007/s00454-010-9295-7},
  note = {Discrete Comput. Geom. 45 (2), 358–364.}
}