In this talk, I will describe recent progress on moduli
stabilization in string theory. In particular, I will describe
recently found supersymmetric AdS_4 vacua, with exponential scale
separation, of type IIB string compactifications on O3/O7...
Define the Collatz map Col on the natural numbers by setting
Col(n) to equal 3n+1 when n is odd and n/2 when n is even. The
notorious Collatz conjecture asserts that all orbits of this map
eventually attain the value 1. This remains open, even if...
A central goal of physics is to understand the low-energy
solutions of quantum interactions between particles. This talk will
focus on the complexity of describing low-energy solutions; I will
show that we can construct quantum systems for which the...
Gilles Ménage said of Louis Picques, the seventeenth-century
Paris librarian and orientalist, that “to be his friend, one had to
know Coptic, Egyptian, or Samaritan, or at least speak Arabic”.
Picques’s letters show that he had many such friends...
One of the most important events in science dates back to 1687,
when Newton published the Philosophiæ Naturalis Principia
Mathematica. In this masterpiece of human thought, the famous
second law of motion is laid out, which concretely and...
We will discuss a version of the Green--Tao arithmetic
regularity lemma and counting lemma which works in the generality
of all linear forms. In this talk we will focus on the qualitative
and algebraic aspects of the result.
Liouville conformal field theory is a CFT with central charge
c>25 and continuous spectrum, its correlation functions on
Riemann surfaces with marked points can be expressed using the
bootstrap method in terms of conformal blocks. We will
explain...
When a globular cluster or a dwarf galaxy is tidally disrupted
due to its host galactic potential, the unbound stars assemble into
coherent filamentary structures known as stellar streams. Given the
ordered nature of their dynamical formation...
Liouville conformal field theory is a CFT with central charge
c>25 and continuous spectrum, its correlation functions on
Riemann surfaces with marked points can be expressed using the
bootstrap method in terms of conformal blocks. We will
explain...
The Brascamp-Lieb inequality is a fundamental inequality in
analysis, generalizing more classical inequalities such as Holder's
inequality, the Loomis-Whitney inequality, and Young's convolution
inequality: it controls the size of a product of...
