Neutrinos are the second most abundant particle in the known
Universe yet they remain mysterious. While they played an important
role in the early Universe, today they contribute at most 1-2% of
the energy budget and leave only faint signatures. A...
Chernoff's bound states that for any A⊂[N] the probability a
random k-tuple s∈([N]k) correctly `samples' A (i.e. that the
density of A in s is close to its mean) decays exponentially in the
dimension k. In 1987, Ajtai, Komlos, and Szemeredi proved...
In this talk, I'll show that the most natural low-degree test
for polynomials over finite fields is ``robust'' in the high-error
regime for linear-sized fields. This settles a long-standing open
question in the area of low-degree testing, yielding...
In this talk I will review the current state of and future
prospects for exoplanet demographics. I will walk through the
latest understanding of the frequency of Earth-like planets from
Kepler, and their implications for NASA’s next flagship
mission...
Although there are several ways to ''choose a compact hyperbolic
surface at random'', putting the Weil-Petersson probability measure
on the moduli space of hyperbolic surfaces of a given topology is
certainly the most natural. The work of M...
Although there are several ways to ''choose a compact hyperbolic
surface at random'', putting the Weil-Petersson probability measure
on the moduli space of hyperbolic surfaces of a given topology is
certainly the most natural. The work of M...
The recent breakthrough in the detection of gravitational waves
(GWs) from merging black hole (BH) and neutron star (NS) binaries
by advanced LIGO/Virgo has generated renewed interest in
understanding the formation mechanisms of merging compact...
I will introduce a new 2d gravity/matrix integral duality. The
bulk theory is a two-dimensional string theory defined by coupling
two copies of Liouville CFT with central charges c = 13 ± is on the
worldsheet. We call this string theory the complex...
Supermassive black holes at the centers of galaxies present
unsolved theoretical challenges for our understanding of
high-energy astrophysics, gravity and gravitational waves, star and
galaxy formation, and space plasma physics. For decades, our...
