Simon Fraser University

In recent years, there has been growing promise in coupling machine learning methods with domain-specific physical insights to solve scientific problems based on partial differential equations (PDEs). However, there are two critical bottlenecks that...

Stellarators are promising magnetic fusion devices for electricity generation, because the dynamics of the hot fusion fuel - called a plasma - is largely determined by external control, as opposed to dynamical self-organization, as is the case for...

The cosine measure is a tool that tells you how well a set of directions is covering the space $\mathbb{R}^n$. In this talk, we extend the concept of cosine measure by defining the cosine measure relative to a subspace. This novel definition might be...

Firmly nonexpansive operators are important in Convex Analysis and Optimization and Algorithms. It is a special case of averaged operators. We classify averaged operators, firmly nonexpansive operators, and proximal mappings by the BBW modulus of...

In this overview talk, I will present the encounter-based approach to diffusive processes in Euclidean domains and highlight its fundamental relation to the Steklov spectral problem. So, the Steklov eigenfunctions turn out to be particularly useful...

Let $f(x)$ be a separable polynomial with rational number coefficients. In this talk I will review how the rational points of the hyperelliptic curve $y^2 = f(x)$ can sometimes be determined using the number field obtained by adjoining a root of $f$...

In recent years, classical knowledge-driven approaches for inverse problems have been complemented by data-driven methods exploiting the power of machine and especially deep learning. Purely data-driven methods, however, come with the drawback of...

In 1770 Euler observed that $3^3+4^3+5^3=6^3$ and asked if there was another perfect power that equals the sum of consecutive cubes. This captivated the attention of many important mathematicians, such as Cunningham, Catalan, Genocchi and Lucas. In...

Classically, Dieudonné theory offers a linear algebraic classification of finite group schemes and p-divisible groups over a perfect field of characteristic p>0. In this talk, I will discuss generalizations of this story from the perspective of p...

In this talk, we will investigate the acoustic transmission eigenvalue problem associated with an inhomogeneous media with a conductive boundary. These are a new class of eigenvalue problems that are not elliptic, not self-adjoint, and non-linear...