8 citations · 12 across the 5 of their papers we have counts for
6 papers
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 -linked. A graph is intrinsically spherical 3-linked if it is planar graph that has,…
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…
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…
Nilpotent Orbits for Borel Subgroups of
Madeleine Burkhart, David Vella
Let be a quasi-simple algebraic group defined over an algebraically closed field and a Borel subgroup of acting on the nilradical of its Lie algebra…
Defining Equations of Nilpotent Orbits for Borel Subgroups of Modality Zero in Type
Madeleine Burkhart, David Vella
Let be a quasi-simple algebraic group defined over an algebraically closed field and a Borel subgroup of acting on the nilradical of its Lie algebra…
Symplectic embeddings of 4-dimensional ellipsoids into polydiscs
Max Timmons, Priera Panescu, Madeleine Burkhart
McDuff and Schlenk have recently determined exactly when a four-dimensional symplectic ellipsoid symplectically embeds into a symplectic ball. Similarly, Frenkel and Müller have re…