Madeleine Burkhart

activity

20172021

collaborators

4 papers

math.CO2021

Intrinsically spherical 3-linked graphs

Madeleine Burkhart, Andrew Castillo, Jonathan Doane +2

We exhibit several families of planar graphs that are minor-minimal intrinsically spherical $3$ -linked. A graph is intrinsically spherical 3-linked if it is planar graph that has,…

gr-qc2019

Causal geodesic incompleteness of spacetimes arising from IMP gluing

Madeleine Burkhart, Daniel Pollack

In 2002, Isenberg-Mazzeo-Pollack (IMP) constructed a series of vacuum initial data sets via a gluing construction. In this paper, we investigate some local geometry of these initia…

gr-qc2019

Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces

Madeleine Burkhart, Martin Lesourd, Daniel Pollack

Chruściel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficient…

math.RT2017

Defining Equations of Nilpotent Orbits for Borel Subgroups of Modality Zero in Type $A_{n}$

Madeleine Burkhart, David Vella

Let $G$ be a quasi-simple algebraic group defined over an algebraically closed field $k$ and $B$ a Borel subgroup of $G$ acting on the nilradical $n$ of its Lie algebra…

Intrinsically spherical 3-linked graphs

Causal geodesic incompleteness of spacetimes arising from IMP gluing

Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces

Defining Equations of Nilpotent Orbits for Borel Subgroups of Modality Zero in Type An​

Defining Equations of Nilpotent Orbits for Borel Subgroups of Modality Zero in Type $A_{n}$