Previous Conferences & Workshops

Around 1992, Aldous made the following bold conjecture. Let A be any set of transpositions in the symmetric group Sym(N). Then the spectral gap of the Cayley graph Cay(Sym(N),A) is identical to that of a relatively tiny N-vertex graph defined by A...

Capillary surfaces model the geometry of liquid interfaces meeting a container at an angle, and arise naturally as (constrained) minimizers of the Gauss free energy. We will discuss recent progress in understanding the size of the singular set of...

Motivated by the instances of Grothendieck’s generalized Hodge conjecture which have a purely algebraic expression, we study the restriction map in cohomology from a smooth projective variety $X$ to an affine $U$. Starting from $X$ being defined...

I will talk about joint work with my student Reuben Drogin.  We prove delocalization for the homogeneous Anderson model on an infinite regular tree (or Caley graph or Bethe lattice) with small bounded disorder. This extends earlier results of Klein...

In 1947 John Von Neumann and Herman Goldstine, while developing the IAS computing machines, wrote a seminal paper on numerical errors in matrix computations. They suggested modeling the "computing noise" (coming from rounding errors, transcendental...

In the NISQ era, where noise limits device coherence times, we are fundamentally constrained to shallow quantum computation. This talk will explore the power, limitations, and learnability of the $QAC^0$ circuit class--i.e. the family of constant...

Abstract: I'll talk about some classical problems around orthogonal polynomials and harmonic analysis that fall into the "unlikely intersection" paradigm: they can be reformulated as questions about counting integers in definable sets whose...

Abstract: Given a local system on a complex algebraic variety, what are the subvarieties on which the monodromy drops? The talk will discuss these monodromy special loci, a natural generalisation of (the positive period dimension components of) the...