PAPERS/MANUSCRIPTS

Balanced Convex Partitions of Lines in the Plane

(2019) Joint with Alexander Xue

Quantitative Combinatorial Geometry for Concave Functions

(2019) Joint with Sherry Sarkar and Alexander Xue

Non-commutative groups as prescribed polytopal symmetries

(2019) Joint with Alexandru Chirvasitu and Frieder Ladisch

Cutting a part from many measures

(2019) joint with Pavle V. M. Blagojević, Nevena Palić, and Günter M. Ziegler

Forum of Mathematics, Sigma E37

http://dx.doi.org/10.1017/fms.2019.33

Prescribing Symmetries and Automorphisms for Polytopes

(2019) joint with Egon Schulte and Gordon Ian Williams

Tverberg partitions as weak epsilon-nets

(2019)

Combinatorica 39 no. 2, pp. 447-458

A Note on the Maximum Rectilinear Crossing Number of Spiders

(2018)  Joint with Joshua Fallon, Kirsten Hogenson, Lauren Keough, Mario Lomelí, Marcus Schaefer

(2018) Joint with Pavle V. M. Blagojevic.  

Bull. London Math. Soc. 50(1) pp.108-123

Robust Tverberg and colorful Carathéodory results via random choice

(2018)

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

Tverberg's theorem is 50 years old: a survey

(2018) Joint with Imre Bárány

Bull. Amer. Math. Soc. 55 no. 4, pp. 459-492

Computing the Partition Function for Graph Homomorphisms

(2017) Joint with A. Barvinok

Combinatorica 37(4) pp.633-650

Quantitative Tverberg theorems over lattices and other discrete sets

(2017) Joint with J.A. De Loera, R. N. La Haye, D. Rolnick

Discrete Comput. Geom. 58(2) 435-448

Tverberg plus minus

(2017) Joint with Imre Bárány

To appear in Discrete Comput. Geom

Quantitative (p,q) theorems in combinatorial geometry

(2017) Joint with D. Rolnick

Discrete Math. 340(10) pp.2516-2527

(2017) Joint with A. Magazinov

Monatshefte für Mathematik 183 (1), 165-176

(2017) Joint with N. Amenta and J. A. De Loera

Chapter in ``Algebraic and Geometric Methods in Discrete Mathematics: AMS Special session on Algebraic and Geometric Methods in Applied Discrete Mathematics", Contemporary Math. 685, published by American Math. Soc., edited by Heather A. Harrington, Mohamed Omar and Matthew Wright. pp. 55-95

(2017) Joint with J.A. De Loera, R. N. La Haye and D. Rolnick

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

(2016) Joint with R. N. Karasev and E. Roldán-Pensado

Israel J. Math. 212(2) pp 705-708

Algorithmic aspects of Tverberg's theorem

(2016) Joint with D. Rolnick

(2016) Joint with A. Barvinok

J. Comin. Theory, Ser. A 137 pp. 1-26

Helly-type theorems for the diameter

(2016) Bull. London Math. Soc. 48 (4): 577-588.

(2015) Combinatorica 35(2) pp. 235-252

Proceeding version in

(2013) Proceedings of the 29th annual symposium on Symposium on computational geometry. pp91-96

Quantitative Tverberg, Helly & Carathéodory theorems

(2015) Joint with J.A. De Loera, R. N. La Haye and D. Rolnick

(2015) Joint with J. Jerónimo-Castro and A. Magazinov

Discrete Math. 338 (9) pp 1577--1585

(2015) Joint with A. Montejano, L. Montejano and E. Roldán-Pensado

Discrete Comput. Geom. 53(4) pp 941-950

(2014) Joint with E. Roldán-Pensado

Discrete Comput. Geom. 51(2), pp.285-289

(2012) Mathematika 58, pp.71-76, doi:10.1112/S0025579311001914

(2012) Joint with R. Strausz

Discrete Comput. Geom.47(3), pp.455-460, doi: 10.1007/s00454-011-9379-z

(2011) Joint with L. Montejano

Discrete Comput. Geom. 45(2), pp.358–364. doi:10.1007/s00454-010-9295-7

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© 2019 by Pablo Soberón.