Past Events

A classical question in extremal (hyper)graph theory asks for tight minimum degree conditions which force the existence of certain spanning structures in large graphs, generalising Dirac's theorem from 1952. One aspect of this concerns tiling graphs...

The q , t -Catalan numbers can be described elegantly in terms of pairs of statistics on Dyck paths: area and bounce, or area and dinv. Using bijective and recursive methods, we prove new expressions of the q , t -Catalan numbers in terms of pairs of...

We discuss the Bunkbed Conjecture, a long-standing conjecture about connection probabilities in percolation. We describe a recent counterexample to this conjecture, a graph on 7772 vertices, and describe its structure.

Join us for a unique opportunity to meet and learn from Dr. James Glazier, a pioneer in computational biology and a renowned cell and tissue modelling expert. Dr. Glazier’s visit will feature a full day of activities, including a showcase of our...

Matroids are combinatorial objects that abstract the notion of independence. Given any matroid, Feichtner and Yuzvinsky defined a graded commutative ring called the Chow ring, inspired by algebraic geometry. To each matroid, we can define a linear...

We establish the fourth moments of the real and imaginary parts of the Riemann zeta-function, as well as the fourth power mean value of Hardy's Z-function at the Gram points. We also study two weak versions of Gram's law. We show that those weak Gram...

Matroids are combinatorial objects that abstract the notion of independence. The motivating examples are matroids arising from vector configurations. An important tool for studying matroids is the associated Chow ring. A recent result of Adiprasito...

We study a simple SIS epidemic model accounting for human behaviour. Individuals can decide at each instant of time whether or not they adopt prophylactic (hereafter protection) measures such as mask wearing or social distancing. These measures...

A well-known conjecture in physical literature states that high frequency waves propagating over long distances through turbulence eventually become complex Gaussian distributed. The intensity of such wave fields then follows an exponential law...

For a number field K, the P\'olya group of K, denoted by Po(K), is the subgroup of the ideal class group of K generated by the classes of the products of maximal ideals of K with the same norm. In this talk, after reviewing some results concerning Po...