Topological combinatorics

The topological Bárány–Larman conjecture for prime numbers

Pablo Soberón

The topological Bárány–Larman conjecture for prime numbers, and counterexamples to extending the optimal colorful Tverberg theorem to prime powers.

Helly and Radon theorems for convex intersections containing k-flats

Sarah Ludwigson, Pablo Soberón

Colorful and fractional intersection theorems for convex families whose intersection contains an affine k-flat.

Selection-structure generalizations of the Borsuk–Ulam theorem

Pablo Soberón

KKM theorems and discrete geometry beyond matroids

Pablo Soberón

Selection structures extend the role of color classes and matroids in KKM theorems and discrete geometry.

Tverberg cores and Kalai’s cascade conjecture

Pablo Soberón

Topological Tverberg cores, vertex-deletion tolerance, and consequences for Kalai’s cascade conjecture.

High-dimensional envy-free partitions

Christina Yu, Pablo Soberón

Comb. Theory 6, no. 1, Paper No. 11, 19 pp.

Fair distribution of bundles

Pablo Soberón

Proc. Amer. Math. Soc. 154, no. 7, 3085–3097.

Bisections of mass assignments using flags of affine spaces

Ilani Axelrod-Freed, Pablo Soberón

Discrete Comput. Geom. 72 (2), 550–568.

Bisections of mass assignments by parallel hyperplanes

Nikola Sadovek, Pablo Soberón

Complex analogues of the Tverberg–Vrećica conjecture and central transversal theorems

Nikola Sadovek, Pablo Soberón

Trans. Amer. Math. Soc. 379 (2026), no. 5, 3665–3691.

Lifting methods in mass partition problems

Pablo Soberón, Yuki Takahashi

Int. Math. Res. Not. IMRN 2023 (16), 14103–14130.

Fair distributions for more participants than allocations

Pablo Soberón

Proc. Amer. Math. Soc., Ser. B 9, 404–414.

The topological Tverberg problem beyond prime powers

Florian Frick, Pablo Soberón

Thieves can make sandwiches

Pavle V. M. Blagojević, Pablo Soberón

Bull. London Math. Soc. 50 (1), 108–123.

Balanced Convex Partitions of Measures in ℝᵈ

Pablo Soberón

Mathematika 58, 71–76.