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TVERBERG TYPE RESULTS

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Tverberg Partition Graphs

Joint with Deborah Oliveros, Érika Roldán, and Antonio J. Torres

Year:

2023

Status:

Combinatorial Depth Measures for Hyperplane Arrangements

Joint with Patrick Schnider

Year:

2023

Status:

Accepted to SoCG 2023

Tolerance for colorful Tverberg partitions

Joint with Sherry Sarkar

Year:

2022

Reference:

European J. Combin 103, paper 103527

Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes

Joint with João Pedro Carvalho

Year

2022

Reference

Acta Mathematica Hungarica 167, 385–392

Tverberg's theorem, disks, and Hamiltonian cycles

Joint with Yaqian Tang

Year:

2021

Reference:

Ann. Comb. 25 pp 995-1005

Quantitative combinatorial geometry for concave functions

Joint with Sherry Sarkar and Alexander Xue

Year:

2021

Reference:

J. Combin. Theory Ser. A 182 Article 105465

Tverberg partitions as weak epsilon-nets

Year:

2019

Reference:

Combinatorica 39 (2) pp 447–458.

Tverberg’s theorem is 50 years old: a survey

Joint with Imre Bárány

Year:

2018

Reference:

Bull. Amer. Math. Soc. 55 (4) pp.459–492

Robust Tverberg and colorful Carathéodory results via random choice

Year:

2018

Reference:

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

Tverberg plus minus

Joint with Imre Bárány

Year:

2018

Reference:

Discrete Comput. Geom. 60 (3) pp.588–598

Quantitative Tverberg theorems over lattices and other discrete sets

Joint with Jesús de Loera, Reuben La Haye, and David Rolnick

Year:

2017

Reference:

Discrete Comput. Geom. 58 (2) pp.435–458

Tensors, colors, and convex hulls

Year:

2017

Reference:

Discrete Geometry and Convexity: in honour of Imre B ́ar ́any. Edited by Gergely Ambrus, K ́aroly J. B ̈or ̈oczky and Zolt ́an Fu ̈redi. pp.97–101
ISBN 978 963 279 963 6

No arXiv version

Quantitative combinatorial geometry for
continuous parameters

Joint with Jesús de Loera, Reuben La Haye, and David Rolnick

Year:

2017

Reference:

Discrete Comput. Geom. 57(2) pp.318–334

Algorithms for Tverberg's theorem via centerpoint theorems

Joint with David Rolnick

Year:

2016

Status:

---

Helly-type theorems for the diameter

Year:

2016

Reference:

Bull. London Math. Soc. 48 (4): 577-588

Equal coefficients and tolerance in coloured Tverberg partitions

Year:

2015

Reference:

Combinatorica 35(2) pp. 235-252

A Generalisation of Tverberg’s Theorem

Joint with Ricardo Strausz

Year:

2012

Reference:

Discrete Comput. Geom. 47(3), pp.455-460

no arXiv version
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