Past Events

Perturbations to the gut physical environment, such as changes to pH, temperature, and osmolality, have a drastic - yet underexplored - impact on the establishment and maintenance of microbial communities. While we understand the large impact of...

Slightly altering and extending McGee’s semantics for conditionals, we define a ternary notion of logical consequence for the validity of natural language arguments. The ternary logical consequence can be regarded as a unification of two kinds of...

Consider a poker game where you have to mix the deck of cards between two turns. How (many times) should you shuffle it to prevent any cheating? In this talk we will introduce the theory of mixing times, and explain how representation theory can be...

Consider a poker game where you have to mix the deck of cards between two turns. How (many times) should you shuffle it to prevent any cheating? In this talk we will introduce the theory of mixing times, and explain how representation theory can be...

Partitions arise in linear algebra as Smith normal forms of finite DVR-modules. This viewpoint has given rise to several important objects in symmetric function theory; they are indexed by partitions. What if we replace the DVR by other rings? The...

We study the moduli space of certain heterotic string theories defined via complex non--Kahler 3-folds with a holomorphic vector bundle that has a connection that is Hermitian Yang-Mills. A consideration of symmetries naturally leads to fibering the...

The basis of protein localization to membraneless compartments within cells has been a longstanding question that is increasingly thought to reflect biological phase separation, but other strategies may exist. To this end, the presentation will show...

By using an identity relating a sum to an integral, we obtain a family of identities for the averages $M(X)=\sum_{n\leq X} \mu(n)$ and $m(X)=\sum_{n\leq X} \mu(n)/n$. Further, by choosing some specific families, we study two summatory functions...

Primitive integral Apollonian circle packings are fractal arrangements of tangent circles with integer curvatures. The curvatures form an orbit of a 'thin group,' a subgroup of an arithmetic group having infinite index in its Zariski closure. The...

In this talk, I introduce several first- and second-order models for self-collective behaviour on general manifolds and discuss their emergent behaviors. For the first-order model, we consider attractive-repulsive and purely attractive interaction...