Video Lectures

Erdős-style geometry is concerned with combinatorial questions about simple geometric objects, such as counting incidences between finite sets of points, lines, etc. These questions can be typically viewed as asking for the possible number of...

Given n∈ℕ and ξ∈ℝ, let τ(n;ξ)=∑d|ndiξ. Hall and Tenenbaum asked in their book \textit{Divisors} what is the value of maxξ∈[1,2]|τ(n;ξ)| for a ``typical'' integer n. I will present work in progress, carried out in collaboration with Louis-Pierre...

A predicate P:Σk→0,1 is said to be linearly embeddable if the set of assignments satisfying it can be embedded in an Abelian group.

In this talk, we will present this notion and mention problems it relates to from various areas. These areas...

The three problems referred to in the title originate in the theory of von Neumann algebras, C* algebras, and quantum information theory respectively. Each of them has been a deep long-standing open problem in its respective area. Surprisingly, the...

Black holes are expected to exhibit universal 'random matrix' behavior at late times, indicative of quantum chaos. The approach to a late-time plateau in the spectral form factor (SFF) is a probe of this behavior. In this talk we study the SFF in...

 In the first story we wonder about the ubiquity of the free field and look at a few characterisation theorems. In the second story we discuss the mutually benefiting relationship between the discrete free field and the O(N) spin model. Finally, in...

In this talk we discuss the existence of a new type of rigidity of symplectic embeddings coming from obligatory intersections with symplectic planes. This is based on a joint work with P. Haim-Kislev and R. Hind.

I will explore the "Elusive Universe," where dark matter, neutrinos, and gravity sculpt our observed nature, leaving many open questions.
My work focuses on opening up new directions to answer these puzzles. I will present two approaches:
1) Using...

We consider general two-dimensional autonomous velocity fields and prove that their mixing and dissipation features are limited to algebraic rates. As an application, we consider a standard cellular flow on a periodic box, and explore potential...