Past Events

The PIMS-UBC Math Job Forum is an annual Forum to help graduate students and postdoctoral fellows in Mathematics and related areas with their job searches. The session is divided in two parts: short presentations from our panel followed by a...

In this talk, we investigate the asymptotic nature of graph spectra when some edges of a graph are subdivided sufficiently many times. We show that the eigenvalues of the sequences of graphs obtained by subdividing edges are Cauchy. As an application...

The GFF is localised on trees because the random walk is transient. What about other height functions? We present rigorous localisation results for two other height functions using elementary methods.

A hybrid asymptotic-numerical approach is developed to study hotspot patterns for a three-component 1-D reaction-diffusion (RD) system that models urban crime with police intervention. Our analysis is focused on a scaling regime where there are two...

We discuss some recent work on the pinned distance problem in the plane using "effective dimension", a tool from algorithmic information theory. This work improves lower bounds on the dimension of pinned distance sets depending on the Hausdorff and...

The Hardy and Littlewood k-tuple prime conjecture is one of the most enduring unsolved problems in mathematics. In 1999, Gadiyar and Padma presented a heuristic derivation of the 2-tuples conjecture by employing the orthogonality principle of...

Particles with diameters of nanometres to micrometres form the building blocks of many of the materials around us, and can be designed in a multitude of ways to form new ones. Such particles commonly live in fluids, where they jiggle about randomly...

A basic question about an algebraic variety X is how similar it is to projective space. One measure of similarity is the minimum degree of a rational map from X to projective space, the "degree of irrationality". This number, not to mention the...

Let M=SL2(ℤ[i])∖ℍ(3) be the Bianchi orbifold, and let {fn}∞n=1⊂L2(M) be a sequence of Hecke--Maass forms on it. We should that the probability measures on M with densities |fn(x)|2 with respect to the Riemannian volume become equidistributed on M...

A Latin square is an n by n grid filled with n symbols so that each symbol appears exactly once in every row and column. A transversal in a Latin square is a selection of entries with no row, column, or symbol repetition. The study of transversals in...