Past Events

I will talk about recent work towards a conjecture of Gonek regarding negative shifted moments of the Riemann zeta-function. I will explain how to obtain asymptotic formulas when the shift in the Riemann zeta function is big enough, and how we can...

The Hurwitz zeta function $\zeta(s, \alpha)$ is a shifted integer analogue of the Riemann zeta function which shares many of its properties, but is not an ”L-function” under any reasonable definition of the word. We will first review the basics of...

Consider all shifts of finite type constrained by a condition on the forbidden set, e.g. only allowing a single forbidden word of fixed length. Which such shifts have the minimum/maximum possible entropy? Among all binary shifts forbidding a single...

Adherens junctions (AJs) are protein complexes at the cell-cell interface that withstand mechanical forces and maintain tissue structure. They also regulate intracellular signalling for cell growth, division and death. Proper adherens junction...

In 2004 Rosas and Sagan asked whether there was a way to define a basis in the algebra of symmetric functions in noncommuting variables, NCSym, having properties analogous to the classical Schur functions, in the algebra of symmetric functions, Sym...

Cancer is a complex disease with many unknown features. The evolution of tumors greatly depends on the interaction network among different cell types, including immune cells and cancer cells in the tumor. To overcome some of the outstanding...

In the finite-dimensional situation, Lie's third theorem provides a correspondence between Lie groups and Lie algebras. Going from the latter to the former is the more complicated construction, requiring a suitable representation, and taking...

A number of results in symbolic dynamics, principally Krieger’s embedding theorem and Boyle’s lower-entropy factor theorem, give conditions for the existence of an injective or surjecive sliding block code from one subshift to another, in terms of...