The interstellar medium (ISM) is a turbulent, multi-phase,
magnetic environment. It is home to vastly different gas phases,
from cold, dense clouds to hot, tenuous plasma. Magnetic fields
thread this interstellar environment, helping to sculpt...
One of the primary goals of the mathematical analysis of
algorithms is to provide guidance about which algorithm is the
“best” for solving a given computational problem. Worst-case
analysis summarizes the performance profile of an algorithm by
its...
Over 40 years ago, Karp, Upfal, and Wigderson posed a central
open question in parallel computation: how many adaptive rounds are
needed to find a basis of a matroid using only independence
queries? Their pioneering work gave an upper bound of O(n‾√...
Analog Superpowers explores the early history of computing,
intellectual property law, government secrecy, and Anglo-American
relations to draw out surprising connections with today’s world of
digital devices and great-power competition. It follows...
A compact hyperkahler manifold is a higher-dimensional analog of
a K3 surface; Lagrangian fibrations of hyperkahler manifolds are
higher-dimensional versions of elliptic fibrations of K3 surfaces.
A result of Voisin shows that these fibrations yield...
On a projective variety, Simpson showed that there is a
homeomorphism between the moduli space of semisimple flat bundles
and that of polystable Higgs bundles with vanishing Chern classes.
Recently, Bakker, Brunebarbe and Tsimerman proved a version...
The symplectic area of a Lagrangian submanifold L in a
symplectic manifold is defined as the minimal positive symplectic
area of a smooth 2-disk with boundary on L. A Lagrangian torus is
called extremal if it maximizes the symplectic area among
all...
In this talk, I will discuss Cosmohedra. These are geometric
objects which encode the vacuum wavefunction for theories with
colored scalars with cubic interactions. I will start by
introducing the vacuum wavefunction, both in Minkowski and de
Sitter...
We give a lower bound on the codimension of a component of the
non-abelian Hodge locus within a leaf of the isomonodromy foliation
on the relative de Rham moduli space of flat vector bundles on an
algebraic curve. The bound follows from a more...
