In the 1950’s Davenport, Mirsky, Newman and Rado proved that if the integers are partitioned by…
Future and Ongoing Seminars
The Gruenberg-Kegel graph of a group is defined as the graph whose vertices are the primes that…
Chen, Erdős, and Staton asked in 1996 how many edges are required in an n-vertex graph to…
This has been an open question for more than 70 years. I'll review what is known, including some…
Quasi-hereditary algebras are a class of finite-dimensional associative algebras that appear…
Quasigroupoids and weak Hopf quasigroups are non-associative generalizations of groupoids and…
Polynomial expansion concerns the heuristic expectation that, for a typical polynomial P in n…
Past Seminars
We consider two-variable first-order logic $\mathop{\mathrm{FO}}^2$…
It is a consequence of Higman's embedding theorem that the additive group $\mathbb{Q}$ of…
The starting point for the ideas in this talk is that the Plactic monoid admits several…
Since the 1980s, inverse semigroups and groupoids have been important tools to study $C^*$-…
The problem of computing the abelian kernel of a finite semigroup was first solved by Delgado…
In this series of three lectures, we will discuss two important and relatively new methods…
Plactic monoids are infinite, finitely generated monoids arising from a natural combinatorial…
In this series of three lectures, we will discuss two important and relatively new methods…
Let C be a decomposable plane curve over an algebraically closed field k of characteristic 0.
Automata pose a simple way to describe groups and semigroups with sometimes surprisingly complex…
In this talk, we consider the class of finite right restriction Ehresmann semigroups whose…
In our talk we will review some of the combinatorial methods in…
A self-similar group is a group $G$ acting on the Cayley graph of a finitely generated free…
Free profinite semigroups are completions of free semigroups, and for that reason their elements…
The ubiquitous plactic monoid, also known as the monoid of Young tableaux, has deep connections…
The aim of this talk is to explain how model theory can be fruitfully applied to the study of…
Two groups are called commensurable if they have isomorphic subgroups of finite index.
Hitchin's connection, originally constructed using techniques of Kähler geometry, is a flat…
We will emphasize how to approach dynamical systems from a probabilistic perspective (or…
Consider the moduli space $\mathcal{M}(G)$ of $G$-Higgs bundles on a compact Riemann surface $X…
