Cauchy slice holography gives a duality between the wavefunction
on a Cauchy slice and the partition function of a T2 deformed
field theory. I will review this correspondence and discuss
its implications for the black hole information puzzle.
The...
A conjecture of Erdős states that for every large enough prime
q, every reduced residue class modulo q is the product of two
primes less than q. I will discuss my on-going work with Kaisa
Matomäki establishing among other things a ternary variant
of...
The online list labeling problem is a basic primitive in data
structures. The goal is to store a dynamically-changing set of n
items in an array of m slots, while keeping the elements in sorted
order. To do so, some items may need to be moved over...
Let E be an elliptic curve defined over \Q. The \Q¯-points
of E form an abelian group on which the Galois group
G\Q=\Gal(\Q¯/\Q) acts. The usual Galois representation
associated to E captures the action of G\Q on the points of finite
order. ...
The classic algorithm AdaBoost allows to convert a weak learner,
that is an algorithm that produces a hypothesis which is slightly
better than chance, into a strong learner, achieving arbitrarily
high accuracy when given enough training data. We...
Diophantine approximation deals with quantitative and
qualitative aspects of approximating numbers by rationals. A major
breakthrough by Kleinbock and Margulis in 1998 was to study
Diophantine approximations for manifolds using homogeneous
dynamics...
Conformal blocks are objects of fundamental importance in the
bootstrap approach for exact solvability of 2D conformal field
theory (CFT). In this talk, we will present novel
probabilistic expressions for them using the Gaussian free field in
lieu...
The Doctor Who Wasn’t There traces the long arc of enthusiasm
for—and skepticism of—electronic media in health and medicine. Over
the past century, a series of new technologies promised to
democratize access to healthcare. From the humble telephone...
Let G be a simply-connected complex semisimple algebraic group
and let C be a smooth projective curve of any genus. Then, the
moduli space of semistable G-bundles on C admits so called
determinant line bundles. E. Verlinde conjectured a
remarkable...
