Simon Fraser University

We present a kinetic version of the Watanabe-Strogatz (WS) transform for vector models in this paper. From the generalized WS-transform, we can reduce the kinetic vector model into an ODE system. We also obtain the cross-ratio type constant of motion...

The principle of ‘maximum entropy’ states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy with respect to a given prior (data) distribution. It was first formulated...

It is well known that a line can intersect at most 2n-1 cells of the n x n chessboard. What happens in higher dimensions: how many cells of the d-dimensional [0,n]^d box can a hyperplane intersect? We also prove the integer analogue of the following...

In this talk I will discuss distribution results for traces of Frobenius for various families of elliptic curves with respect to the Lang--Trotter conjecture and extremal primes. These are related to the work of Sha--Shparlinski on the average Lang-...

A Landau-Ginzburg (LG) model is a triplet of data (X, W, G) consisting of a regular function $W:X\to\mathbb{C}$ from a quasi-projective variety $X$ with a group $G$ acting on $X$ leaving $W$ invariant. One can build an analogue of Hodge theory and...

I will present a work in progress. In 1954, Tutte proved flow-colouring duality and made a conjecture that every graph without a cut-edge has a nowhere-zero 5-flow. A parallel conjecture to this, but for signed graphs is Bouchet's conjecture (1983)...

All talks will take place on the Burnaby Mountain campus of Simon Fraser University. Details to follow.

Manin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. Mainly with Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I...

The speaker will discuss the Four-Color Theorem and some of the outstanding problems left open after the proof.

Let M be a smooth submanifold of R^n equipped with the Euclidean(chordal) metric. This talk will consider the smallest dimension, m, for which there exists a bi-Lipschitz function f:M →R^m with bi-Lipschitz constants close to one. We will begin by...