Past Events

There has been extensive study of diagonalization of matrices, or finding the Jordan Canonical Form for a matrix that is not diagonalizable. Diagonalization can be viewed as using a similarity to concentrate the magnitude of all the entries with a...

AV-modules are representations of Lie algebra V of vector fields that admit a compatible action of the commutative algebra A of functions. This notion is a natural generalization of D-modules. In this talk we shall start by reviewing the theory of AV...

Derivative-free algorithms seek the minimum of a given function based only on function values queried at appropriate points. Their performance is known to worsen as the problem dimension increases. Recent advances in developing randomized derivative...

In this talk I will describe the first general construction of regular unimodular triangulations for matroid base polytopes. This construction extends to all integral generalized permutahedra. I will also discuss how this relates to White's...

For over a century, scientists have studied striking spatiotemporal patterns during the continual tooth replacement of reptiles. Aside from the compelling aesthetics of this phenomenon, it is thought that understanding the underlying mechanisms may...

A set $A$ is Sidon if all pairwise sums of elements in $A$ are distinct. A pair of sets $A,B$ is co-Sidon if $|A+B| = |A||B|$, i.e., all sums $a+b$ are distinct with $a \in A$ and $b \in B$. We will focus on the setting $A,B \subset \{0,1\}^n$, where...

Together with climate change, the increase in anthropogenic and natural disturbances affects the envi- ronmental conditions of an ecosystem and thus can cause a pronounced change in its functionality. It, therefore, becomes critical to have an...

Consider the vector space (parameter space) of all homogeneous forms of degree $d$ in $n+1$ variables defined over some field $K$. Geometrically, the vanishing set of such a form corresponds to a hypersurface of degree $d$ in the projective space $P^...

Carl Jacobi worked in the 1830s at the University of Königsberg on what became known as Hamilton-Jacobi theory, and also on the theory of the second variation in the calculus of variations. The first was a subject in dynamical analysis, while the...

Zero forcing is a type of graph propagation based on the color-change rule: Given graph $G$, if each vertex of $G$ is colored either white or blue, and vertex $v$ is a blue vertex with only one white neighbor $w$, then change the color of $w$ to blue...