University of Victoria

Led by our Education Coordinator, Jane Butterfield, and a team of enthusiastic volunteers, we'll be offering visitors a fun and interactive glimpse into the Math Mania program we normally bring to local elementary schools. Join us and experience the...

In this talk, I will be discussing joint work with Nathaniel Butler, Gourab Ray and Yinon Spinka on the behavior of uniformly chosen integer valued 1-lipschitz functions on regular trees, with prescribed boundary conditions on the nth generation...

Life is a nonequilibrium phenomenon where nonlocal processes play a prominent and increasingly important role. Nonlocal models have emerged as a robust mathematical framework for capturing interactions across spatial and temporal scales in the life...

We will discuss extensions of random transpositions to other conjugacy classes. Our main probabilistic result is the total variation cutoff profile for these random walks, under a mild assumption on the number of fixed points. The proof is based on a...

Given a matching M of a hypercube, does there exist a Hamiltonian cycle that contains every edge of M? This problem was posed by Ruskey and Savage in 1993, and remains open. If M is a perfect matching a Hamiltonian cycle does exist, as shown by Fink...

Although biologists discover and classify thousands of new species each year, an estimated 95% of the more than 20 million multicellular species on Earth remain unnamed and unclassified. Our research aligns with the long-term goals of the Planetary...

We consider the model in which uniform random points are added to the unit interval at a constant intensity and independently vanish each at rate 1. The stationary distribution is a Poisson point process. Our goal is to investigate the time until an...

A sequence of tournaments is said to be quasirandom if it behaves as a sequence of random tournaments would. In 1991, Chung, Graham, and Wilson provided a list of equivalent properties that any sequence of random tournaments satisfies with high...

There is now an expansive collection of mathematical work on building models for the transport of intracellular cargo by molecular motors. Commonly studied cargo undergo “saltatory” motion (bidirectional ballistic motion, intermixed with periods of...

The mixing time and spectral gap of a random walk on the symmetric group can sometimes be understood in terms of its low dimensional representations (e.g., Aldous' spectral gap conjecture). It turns out that under a mild degree condition involving...