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PAPERS/MANUSCRIPTS

SELECTED PAPERS

KKM theorems and discrete geometry beyond matroids

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Year:

Status:

2026

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arXiv version
Tverberg cores and Kalai’s cascade conjecture

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Year:

Status:

2026

Submitted for publication

arXiv version
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

arXiv version
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

arXiv version
Quantitative combinatorial geometry for concave functions

Joint with Sherry Sarkar and Alexander Xue

Year:

Reference:

2021

J. Combin. Theory Ser. A 182 Article 105465

arXiv version
Robust Tverberg and colorful Carathéodory results via random choice

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Year:

Reference:

2018

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

arXiv version

© 2026 by Pablo Soberón.

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