## MEASURE PARTITIONS

#### A survey of mass partitions

Joint with Edgardo Roldán-Pensado

Year:

2022

Reference:

Bull. Amer. Math. Soc. 59(2) pp. 227-267

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

Joint with Michael N. Manta

Year:

2021

Status:

Submitted to journal

#### Balanced convex partitions of lines in the plane

Joint with Alexander Xue

Year:

2021

Reference:

Discrete Comput. Geom. 66(3), pp 1150-1167

#### Lifting methods in mass partition problems

Joint with Yuki Takahashi

Year:

2021

Status:

Accepted at Int. Math. Res. Not.

#### Bisections of mass assignments using flags of affine spaces

Joint with Ilani Axelrod-Freed

Year:

2021

Status:

Accepted at Discrete Comput. Geom.

#### Fair distributions for more participants than allocations

Year:

2021

Status:

Accepted at Proc. Amer. Math. Soc.

#### Cutting a part of many measures

Joint with Pavle V. M. Blagojevic, Nevena Palic, and Günter M. Ziegler

Year:

2019

Reference:

Forum of Mathematics, Sigma 7 E37

#### Thieves can make sandwiches

Joint with Pavle V. M. Blagojevic

Year:

2018

Reference:

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

#### Measure Partitions Using Hyperplanes with Fixed

Directions

Joint with Roman Karasev and Edgardo Roldán-Pensado

Year:

2016

Reference:

Israel J. Math. 212(2) pp 705–708

#### An Extension of a Theorem by Yao & Yao

Joint with Edgardo Roldán-Pensado

Year:

2014

Reference:

Discrete Comput. Geom.

51(2), pp.285-289

#### Balanced Convex Partitions of Measures in R^d

Year:

2012

Reference:

Mathematika 58, pp.71-76