A random walk on expanders, despite its strong underlying
correlations, poses extremely useful pseudorandom properties. The
expander hitting property and the expander Chernoff are two such
classic examples. That is, the AND function and certain...
I will review some interesting features regarding the spectrum
of near-extremal black holes in gravity and near-BPS black holes in
supergravity, which are derived from the Euclidean path integral.
For simplicity, I will focus on the case of charged...
I will discuss how I came to write The Last Empire of Iran and
why. My main motivation was to portray the Sasanian state as the
great world power that it was, and to situate it properly between
Rome and the nomad powers of Inner Asia. The talk will...
In the Solar system, the planets follow orbits that are nearly
aligned with the Sun's equatorial plane. What about planets around
other stars? Many techniques are available to measure the
obliquities of planet-hosting stars, ranging from an effect...
In the recent breakthrough on the uniform Mordell-Lang problem
by Dimitrov-Gao-Habegger and Kuhne, their key result is a uniform
Bogomolov type of theorem for curves over number fields. In this
talk, we introduce a refinement and generalization of...
Compact mass-spring models can measure remarkably small
deformations while conserving angular momentum. We use them within
an N-body code to simulate tidal evolution of viscoelastic spinning
objects, tying simulated rheology to spin dynamics...
The Vera C. Rubin Observatory Legacy Survey of Space and Time
(LSST) will produce several billion photometric redshifts
(photo-z's), enabling cosmological analyses to select a
subset of galaxies with the most accurate photo-z.
We perform initial...