Upcoming Events

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...

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.

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...

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...

Grothendieck's duality theory relies on the notion of a dualizing complex. In the non-commutative setting such dualizing complexes were studied in the 90s beginning with work by Yekutieli. Since these complexes are not unique (for example, one can...

Automorphic representations, which provide a vast generalization of modular forms, are are grouped together into so-called L-packets according to the L-functions they produce. From this point of view, automorphic representations give a kind of fine...

Bregman proximal-type algorithms, such as mirror descent, are popular in optimization and data science for effectively exploiting problem structures and optimizing them under tailored geometries. However, most of existing convergence results rely on...

Let G = (V, E) be a simple graph of order n. The adjacency matrix of G is denoted by A(G) = [a_ij], where a_ij=1 if {v_i ,v_j} ∈ E and a_ij=0, otherwise. The diagonal matrix of degrees of G, D(G) = [d_ij], is defined by d_ii=d(v_i), and d_ij=0, ∀ i...

In this talk, we consider the non-penalty shrinkage and pretest estimation methods for the regression parameters of the generalized log-logistic proportional hazards (PH) model. This model, a simple extension of the log-logistic model (which...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...