Previous Conferences & Workshops

We give the first examples of codimension-1 knotting in the 4-sphere, i.e. there is a 3-ball B1 with boundary the standard linear 2-sphere, which is not isotopic rel boundary to the standard linear 3-ball B0. Actually, there is an infinite family of...

Randomness can provide an exponential saving in the amount of communication needed to solve a distributed problem, and the canonical example of this is the equality function. However, in many examples where randomness helps, having an efficient way...

The Grothendieck group of varieties over a field k is the quotient of the free abelian group of isomorphism classes of varieties over k by the so-called cut-and-paste relations. It moreover has a ring structure coming from the product of varieties...

I will explain the source of Grothendieck philosophy of motives, and tell of applications.

Causal inference from observational data is a vital problem, but it comes with strong assumptions. Most methods require that we observe all confounders, variables that affect both the causal variables and the outcome variables. But whether we have...

I will discuss some recent results showing that the sum-of-squares SDP hierarchy can be used to find approximately optimal solutions to k-CSPs, provided that the instance satisfies certain expansion properties. These properties can be shown to...

To solve the inverse spectral problem for the Schrödinger equation on a metric graph one needs to determine:
• the metric graph;
• the potential in the Schrödinger equation;
• the vertex conditions (connecting the edges together).
The inverse...

Function approximators, like deep neural networks, play a crucial role in building machine-learning based intelligent systems. This talk covers three core problems of function approximators: understanding function approximators, designing new...