Past Events

Nonlinear dynamical systems are prevalent in systems biology, where they are often used to represent a biological system. Its dynamical behaviour is often impossible to understand by intuition alone without such mathematical models. Ideas and methods...

Conjecture: For any map from a closed 4-manifold E to a circle whose homotopy fiber has the homotopy type of a 3-manifold, there exists a fiber bundle over the circle with total space a 4-manifold homotopy equivalent to E. Theorem (joint with Shmuel...

Suppose that H is an algebraic group which is defined over a field k, and let L be the algebraic closure of k. The canonical stalk for the etale topology on k induces a simplicial set map from the classifying space B(H-tors) of the groupoid of H...

Cocycle categories give a simple, flexible way to describe morphisms in a homotopy category, provided that the underlying model structure is sufficiently well behaved. "Well behaved" model structures include simplicial sets, spectra, simplicial...

Starting from the standard contact structure of the supercircle, S^{1|1}, one considers the subgroups E(1|1), Aff(1|1), and SpO(2|1) of the group, K(1), of its contactomorphisms that respectively define its Euclidean, affine, and projective...

TBA

This course develops the methods, models and tools for quantitative ecology. Students learn to formulate, analyse, parameterize, and validate quantitative models for ecological processes and data. Applications include population dynamics, species...

Given a reasonable filtration of spaces F_0, F_1,..., F_n, and a homology theory H, we define what it means to split the filtration with respect to H and then give a criterion for when this is possible. We strongly refine this criterion to decide...

Weakly electric fish are fascinating animals that have evolved an electric sense that blends aspects of our senses of touch, vision and audition. Much is known about the relatively simple (compared to higher mammals) circuitry of their brains, the...

As the end of the first decade of the millennium draws nigh, multigrid computational methods are gracefully gliding towards their Golden Jubilee at their famous linear rate of convergence. In this largely nontechnical talk we shall animate the...