Previous Conferences & Workshops

In both computer science and economics, efficiency is a cherished property. The field of algorithms is almost solely focused on their efficiency. The goal of AI research is to increase efficiency by reducing human labor.  In economics, the main...

I will talk about a unification of two bounded height results around abelian varieties. One is due to Silverman from 1983, which states, for an abelian scheme A/C with no fixed part over a curve C, that the set of points on C where the generic...

Tropical enumerative geometry is a branch of combinatorial algebraic geometry that aims to count algebraic objects (usually curves on some surface passing through a number of points) by turning them into combinatorial objects, called tropical curves...

Abstract: In this talk I will construct a “quasisymmetric flag variety”, a subvariety of the complete type A  flag variety built by adapting the BGG geometric construction of divided differences to the newly introduced “quasisymmetric divided...

Stable commutator length (or scl) of group elements is a well-known, simple-to-define invariant, related to bounded cohomology and quasimorphisms. Yet its simple definition is a trap: many of the exciting developments around scl required "better"...

I’ll describe a circle of ideas that links Schubert polynomials with representation theory, via some configuration spaces studied by Magyar (and which include Schubert’s famous space of complete triangles). Most of the geometric connections were...

Postnikov's divided symmetrization, introduced in the context of volume polynomials of permutahedra, possesses a host of remarkable ``positivity'' properties. These turn out to be best understood using a family of operators we call quasisymmetric...

The Oppenheim conjecture, proved by Margulis in 1986, states that for a non-degenerate indefinite irrational quadratic form Q in $n \geq$ 3 variables, the image set $Q(Z^n)$ of integral vectors is a dense subset of the real line. Determining the...