Over the last two decades we have developed good understanding
how to quantify the impact of strategic user behavior on outcomes
in many games (including traffic routing and online auctions) and
showed that the resulting bounds extend to repeated...
In spite of tremendous progress in the mean-field theory of spin
glasses in the last forty years, culminating in Giorgio Parisi’s
Nobel Prize in 2021, the more “realistic” short-range spin glass
models have remained almost completely intractable. In...
Given a Lagrangian torus fibration on the complement of an
anticanonical divisor in a Kahler manifold, one usually constructs
a mirror space by gluing local charts (moduli spaces of objects of
the Fukaya category supported on generic torus fibers)...
In the early 2000’s Ruijsenaars and Felder-Varchenko have
introduced the elliptic gamma function, a remarkable multivariable
meromorphic q-series that comes from mathematical physics. It
satisfies modular functional equations under the group
SL3(Z)...
In this talk, I will review recent progress in understanding the
complex multi-scale plasma physics of neutron star magnetospheres
through the lens of first-principles particle-in-cell simulations.
I will highlight pair production discharges near...
I will discuss recent progress on approximating the metric
traveling salesperson problem, focusing on a line of work beginning
in 2011 that studies the behavior of the max entropy algorithm.
This algorithm is a randomized variant of the beautiful...
Damast is an interactive research environment for visualizing
the multi-religious situation in the Islamicate world from 600 to
1400 CE. For the first time, all the existing geographical and
chronological data about communities of Dhimmis under...
The TTbar deformation is a holographic theory describing
holography a finite distance in the bulk. If this
theory can be UV completed, it could be a model of nonperturbative
bulk quantum gravity. However, it seems to be a non-unitary
theory, as...
In the search for possible blow-up of the incompressible
Navier-Stokes equations, there has been much recent attention on
the class of axisymmetric solutions with swirl. Several interesting
structures of this system have led to regularity criteria...
An old open question in symplectic topology is whether all
normalized capacities coincide on convex bounded domains in the
standard symplectic vector space. I will discuss this question for
domains which are close to the Euclidean ball and its...
