Previous Conferences & Workshops

The non-orientable genus (a.k.a crosscap number) of a knot is the smallest genus over all non-orientable surfaces spanned by the knot. In this talk, I’ll describe joint work with Christine Lee, in which we obtain two-sided linear bound of the...

We will discuss methods of decomposing knot and link complements into polyhedra. Using hyperbolic geometry, angled structures, and normal surface theory, we analyze geometric and topological properties of knots and links.

What can you learn about a group from a presentation? Sometimes very little; almost every interesting problem about groups given by (finite) presentations is unsolvable in full generality. But if one asks about *typical* groups - so-called "random"...

The classification of finite simple groups is a singular event in the history of mathematics. It has one of the longest and most complicated proofs any theorem (indeed just to define the terms in the statement of theorem requires a lot). It has many...

In recent work of Braden, Licata, Proudfoot, and Webster, a "symplectic duality" was described between pairs of module categories $O(M)$, $O(M')$ associated to certain pairs of complex symplectic manifolds $(M, M')$. The duality generalizes the...

Given the $p$-adic Galois representation associated to a regular algebraic polarized cuspidal automorphic representation, one naturally obtains a pure weight zero representation called its adjoint representation. Because it has weight zero, a...