TVERBERG TYPE RESULTS
The topological Tverberg problem beyond prime powers
Joint with Florian Frick
Year:
2020
Status:
Submitted to journal
Tverberg's theorem, disks, and Hamiltonian cycles
Joint with Yaqian Tang
Year:
2020
Status:
Submitted to journal
Tolerance for colorful Tverberg partitions
Joint with Sherry Sarkar
Year:
2020
Status:
Submitted to journal
Tverberg partitions as weak epsilon-nets
Year:
2019
Reference:
Combinatorica 39 (2) pp 447–458.
Quantitative combinatorial geometry for concave functions
Joint with Sherry Sarkar and Alexander Xue
Year:
2019
Status:
Submitted to journal
Tverberg plus minus
Joint with Imre Bárány
Year:
2018
Reference:
Discrete Comput. Geom. 60 (3) pp.588–598
Robust Tverberg and colorful Carathéodory results via random choice
Year:
2018
Reference:
Combinatorics, Probability and Computing. 27 (3) pp.427–440
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
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
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
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