Simon Fraser University

We study the effect of noise on dynamics of a single spike for the classical Gierer--Meinhardt model on a finite interval. When spatio-temporal noise is introduced in the equation for the activator, we derive a stochastic ODE that describes the...

A central problem in additive combinatorics is to obtain a good lower bound for the size of the product set AB of two subsets A, B of a group G. In this talk, we will be focusing on the setting when G is a locally compact group, where G has a natural...

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...

Remote communities around the globe rely on off-grid installations of stand-alone diesel generators to cover their energy needs, which can be costly, harmful to the environment and subject to disruptions. Policymakers seek sustainable solutions for...

The backtracking line-search is an effective technique to automatically tune the step-size in smooth optimization. It guarantees similar performance to using the theoretically optimal step-size. Many approaches have been developed to instead tune per...

Fano varieties are projective algebraic variety with “positive curvature”. Recently, using the notion of K-stability which originates in differential geometry, projective moduli spaces for Fano varieties have been constructed. In this talk I will...

I will briefly introduce the notion of formality for differential graded Lie algebras, and the role it plays in deformation theory. I will then discuss some geometric applications obtained in a joint work with Claudio Onorati.

Variational phase-field models of fracture have been at the center of a multidisciplinary effort involving a large community of mathematicians, mechanicians, engineers, and computational scientists over the last 25 years or so. I will start with a...

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...

Shared rides, which pool individual riders into a single vehicle, are essential for mitigating congestion and promoting more sustainable urban transportation. However, major ridesharing platforms have long struggled to maintain a healthy and...