top of page

PAPERS/MANUSCRIPTS

SELECTED PAPERS

Four hyperplanes do not always equipartition a mass in R^4

Year:

Status:

2026

Submitted for publication

KKM theorems and discrete geometry beyond matroids

Year:

Status:

2026

Submitted for publication

Tverberg cores and Kalai’s cascade conjecture

Year:

Status:

2026

Submitted for publication

Generalizations of the Yao-Yao partition theorem and the central transversal theorem

Joint with Michael N. Manta

Year:

Reference:

2024

Discrete Comput. Geom. 71 (4), 1381-1402

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

Joint with Nikola Sadovek

Year:

Reference:

2024

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

Bisecting masses with families of parallel hyperplanes

Joint with Alfredo Hubard

Year:

Status

2024

Submitted for publication

Robust Tverberg and colorful Carathéodory results via random choice

Year:

Reference:

2018

Combinatorics, Probability and Computing. 27 (3) pp.427–440

© 2026 by Pablo Soberón.

bottom of page