Past Events

In this talk we will present our recent work on ‘’Closed geodesics in Alexandrov spaces of curvature bounded from above’’. This is an extension of Colding and Minicozzi’s width-sweepout construction of closed geodesics on closed Riemannian manifold...

Let $a,b,c \geq 2$ be integers satisfying $1/a + 1/b + 1/c > 1$. Darmon and Granville proved that the generalized Fermat equation $x^a + y^b = z^c$ has only finitely many coprime integer solutions; conjecturally something stronger is true: for $a,b,c...

Let T be the return time to the origin of a simple random walk on an infinite recurrent graph. We show that T is heavy tailed and non-concentrated. More precisely, we have i) P(T>t) > c/sqrt(t) ii) P(T=t|T>=t) C log(t)/t Inequality i) is attained...

The omega transformation takes a Schur function indexed by a partition to the Schur function indexed by the partition's transpose. In this joint work with Jeff Remmel, we explore a refinement of the omega transformation defined on the quasisymmetric...

Efficient algorithms have recently been developed for calculating dealiased linear convolution sums without the expense of conventional zero-padding or phase-shift techniques. For one-dimensional in-place convolutions, the memory requirements are...

TBA

"Think analog, act digital" is a motto that is relevant to scientific computing and algorithm design in a variety of disciplines, including numerical analysis, image/signal processing, and computer graphics. Here, we will argue that cardinal splines...

We analyze a coin-tossing model used to justify the sale of constant proportion debt obligations (CPDOs) and prove that it was impossible for CPDOs to achieve the Cash-In Event. In the best-case scenario in which the coin is two-headed, we show that...

The Cascade Topology Seminar is supported in part by grants from the National Science Foundation, the Pacific Institute for the Mathematical Sciences, and is a Mathematical Sciences Research Institute MER Network Conference. The support of these...