Simon Fraser University

Computational modelling can be used to reveal insights into the mechanisms of new drugs and to develop new diagnostic tools. Here I will discuss three major diseases: diabetes, hypertension, and autism. I will talk about how we construct models to...

What is a game? Mathematically speaking, a game has players, strategies and scores to explain why the players win or lose. Games which are modelled with differential equations are called differential games. Common examples are pursuit-evasion games...

The talk starts with a short survey on a mathematical game known as Racetrack, in which a vehicle moves in discrete rounds and can slightly modify its movement vector every round. The goal is to minimize the amount of rounds needed to attain some...

We prove two related concentration inequalities concerning the points of elliptic curves contained within subsets of F_p^2. In particular we investigate the probability of a large difference between the portions of quadratic residues and non-residues...

Tree structures emerge in various sciences. It is challenging to compare and analyze tree structures as both the size and the number of trees are increasing and there are few tools to describe tree structures in a quantitive, accurate, comprehensive...

The dimension of a poset P is the minimum number of total orders whose intersection is P. We prove that the dimension of every poset whose comparability graph has maximum degree $\Delta$ is at most $\Delta log^{1+o(1)} \Delta$. This result improves...

The celebrated Erdős-Pósa theorem states that every undirected graph that does not admit a family of k vertex-disjoint cycles contains a feedback vertex set (a set of vertices hitting all cycles in the graph) of size O(k log k). After being known for...

Results on a two way convection-diffusion problem; an asymptotic error analysis on a piece-wise uniform grid; and a framework for understanding quadrature errors in Finite Element Methods are presented. These results were never published, although I...

What is a game? Mathematically speaking, a game has players, strategies and scores to explain why the players win or lose. Games which are modelled with differential equations are called differential games. Common examples are pursuit-evasion games...