Past Events

The KPZ (Kardar-Parisi-Zhang) universality class is a loose term for a collection of random interface growth models and random planar metrics that exhibit the same behaviour under rescaling. Examples of models in this class include TASEP, last...

A core challenge for modern biology is how to infer the trajectories of individual cells from population-level time courses of high-dimensional gene expression data. Birth and death of cells present a particular difficulty: existing trajectory...

The wavefunction of a particle describes everything that could be known about a quantum mechanical system. One of the key insights over the past few decades is that a wavefunction, despite its name, is not an ordinary function, but should be regarded...

A set S in the Euclidean plane is an integer distance set if the distance between any pair of its points is an integer. Interestingly, all the so-far-known integer distance sets have all but up to four of their points on a single line or circle. And...

Feynman’s path integral expresses the probability amplitude of a quantum mechanical system as a “sum of trajectories” of the classical system. Since this integral has not been given a satisfactory mathematical meaning, a widely accepted treatment is...

Every curve has an abelian variety associated to it, called the Jacobian. Poincaré's total reducibility theorem states that any abelian variety is isogenuous to a product of simple abelian varieties. We are interested to know this decomposition for...

Given two graphs H and G, the homomorphism density t(H,G) represents the likelihood that a random mapping from V(H) to V(G) is a homomorphism. Sidorenko Conjecture states that for any bipartite graph H, t(H,G) is greater or equal to t(K_2,G)^{e(H)}...

The Bar and Cobar functors pair up to form an adjunction between the category of dg-algebras and dg-coalgebras. This adjunction can be used as a tool to provide a quasi-free resolution for any dg-algebra. We work out such a resolution for the case of...

Order convergence on a partially ordered set is a topological-like structure induced by the order, which usually fails to be an "actual" topology. However, on Boolean algebras and vector lattices this convergence satisfies the definition of a so...