Past Events

In 1974, Briançon and Skoda answered a question of Mather, showing that for $I=(f_1,\dots,f_n)$ an ideal of the coordinate ring at a smooth point on a complex algebraic variety, there is a containment $\overline{I^{n+k-1}}\subseteq I^k$ for all $k...

The question of whether one graph can be embedded in another is a fundamental problem in graph theory. In 2020, Joos and Kim introduced a generalization of the basic graph embedding problem to graph collections. Let $G=\{G_1,\ldots,G_m\}$ be a...

The UBC Mathematics-Biology research group is delighted to host four distinguished speakers from South Africa as part of the University Staff Doctoral Program: Building Capacity in Applied Mathematics (USDP-BCAM). This international collaboration...

I will present the invariance of extremal Kahler manifolds under a suitable class of bimeromorphic morphisms. Focusing mostly on the cscK (constant scalar curvature Kähler) case, I will show how the main result is obtained as a consequence of a...

We built an age- and immunity-stratified COVID-19 model with setting-specific contacts (home, school, workplace, other) and calibrated it to Ontario’s pre-Omicron incidence and hospital admissions. Counterfactuals toggled vaccination and varied NPIs...

Topic: Approximation and Our Intellectual History Abstract: Philosophers and mathematicians are lovers of truth—exact truth; in many ways, this accounts for our interwoven histories. But this is a tragic love, constantly frustrated by the elusiveness...

In this talk we see how representation theory can be used in numerical methods for partial differential equations (PDEs) and how numerics can give more efficient methods for computational problems in representation theory. In particular, we will see...

I shall start with reminders on congruences and p-adic numbers, then give Hasse's contribution to the local-global principle. I shall then mention counterexamples to the "Hasse principle" and then describe various ways which have been devised to...

The Laplacian matrix L of a signed graph G may or may not be invertible. We present an entrywise combinatorial formula for the Moore-Penrose inverse of L, obtained by deriving a combinatorial expression for the Moore-Penrose inverse of an incidence...

Let $K$ be an algebraic number field. The Primitive Element Theorem implies that the number field $K$ can be generated over the field of rational numbers by a single element of $K$. We call such an element a generator of $K$. A simple and natural...