activity
20152021
most citedBasis shape loci and the positive Grassmannian

8 citations · 12 across the 5 of their papers we have counts for

collaborators

6 papers

math-ph2021★ 1 cited

Cancellation of spurious poles in N=4 SYM: physical and geometric

Susama Agarwala, Cameron Marcott

This paper shows that not only do the codimension one spurious poles of tree level diagrams in N=4 SYM theory cancel in the tree level amplitude as expected, but their va…

math.CO2019★ 8 cited

Basis shape loci and the positive Grassmannian

Cameron Marcott

A basis shape locus takes as input data a zero/nonzero pattern in an matrix, which is equivalent to a presentation of a transversal matroid. The locus is defined as th…

math-ph2018★ 3 cited

Wilson loops in SYM do not parametrize an orientable space

Susama Agarwala, Cameron Marcott

In this paper we explore the geometric space parametrized by (tree level) Wilson loops in SYM . We show that, this space can be seen as a vector bundle over a totally non-nega…

math.CO2018

Combinatorics of the Deodhar decomposition of the Grassmannian

Cameron Marcott

The Deodhar decomposition of the Grassmannian is a refinement of the Schubert, Richardson, and positroid stratifications of the Grassmannian. Go-diagrams are certain fillings of Fe…

math.CO2016

Positroids have the Rayleigh property

Cameron Marcott

The Rayleigh property is a negative correlation property of electrical networks, which was generalized to matroids by Choe and Wagner. We prove that positroids, a class of matroid…

math.MG2015

Bounded-- yes, but 4?

Paul D. Humke, Cameron Marcott, Bjorn Mellem +1

In this paper we will examine unions of oriented and non-oriented unit squares in same plane and measure the ratio of perimeter to area of these unions. In 1998, T. Keleti publishe…