Past Events

Linkage analysis maps genes for a heritable trait by identifying genomic regions with excess relatedness among individuals with similar trait values.Analysis may be conducted in families, or in unrelated individuals from a population. Here, we focus...

Sheaf cohomology is a ubiquituous tool in algebraic geometry for understanding the structure of varieties---but how does one actually get one's hands on cohomology? In this talk, I will discuss computing sheaf cohomology (and higher direct images) of...

In the eternal eviction game, a set of guards placed on the vertices of (a dominating set of) a graph G must move to defend the graph against attacks on those of its vertices that contain guards, while maintaining a dominating set of G. The eternal...

Random permutations show up in a variety of areas inmathematics and its applications. In connection with physical applications (e.g., the lambda transition for superfluid helium), there is an interest in random spatial permutations -- that is, laws...

The fundamental principle of derived deformation theory is that a formal “space” (i.e. a formal moduli problem) can be encoded by a differential graded Lie algebra. The plan for our learning seminar this term will be to unpack and understand this...

We analyze the existence, linear stability, and slow dynamics of localized 1D spike patterns for a Keller-Segel model of chemotaxis that includes the effect of logistic growth of the cellular population. Our analysis of localized patterns for this...

In 1973, C. I. Lewis published a landmark text developing a theory of counterfactual logics. The primary goal of the text was in providing a logical framework where one could reason about sentences of the form: “if P were true, then Q would be true”...

For graphs $G, H_1,\dots,H_r$, write $G \to (H_1, \ldots, H_r)$ to denote the property that whenever we $r$-colour the edges of $G$, there is a monochromatic copy of $H_i$ in colour $i$ for some $i \in \{1,\dots,r\}$. Mousset, Nenadov and Samotij...

The modern subject of Dynamical Systems concerns the study of the orbit structure of Semi-Group actions on various spaces. Until the latter part of the 19th century, this study was primarily restricted to the kinematics of rigid motions and the...

Vector bundles and principal bundles are important objects in differential geometry. Vector bundles over a manifold M are manifolds that are locally isomorphic to the Cartesian product M times V for some vector space V, while principal bundles over M...