Past Events

If E is a compact set of Hausdorff dimension s > 1 on the plane, then its distance set was conjectured (by Falconer 1985) to have positive Lebesgue measure. Joint with Guth, Iosevich and Ou, we show that dim E > 5/4 is a sufficient condition. This...

A connection is a geometric object that allows to parallel transport vectors along a curve in a domain. A natural question that often arises is whether one can recover a connection inside a domain from the knowledge of the parallel transport along a...

Work in progress talk. STORM is a super-resolution technique that uses photoswitchable fluorophores to achieve resolutions at or below 20nm. A downside of STORM is the possibility of recording several blinks from one fluorophore, affecting the...

The Grassmannian manifold of $k$-planes in $\mathbb{R}^n$ has a group action if $\mathbb{R}^n$ is taken to be a real representation of the group. When the group is $C_2$, the Schubert cell construction of the Grassmannian generalizes to an...

Siegel zeros (or Landau-Siegel zeros) are potential counterexamples to the generalised Riemann hypothesis (for L-functions). Such zeros, if exist, have to be "very close" to 1 over the complex plane. In this talk, we will discuss some results...

The neural crest offers a unique model system to study cell migration mechanisms during vertebrate embryogenesis since migrating cells are accessible to in vivo time-lapse imaging and manipulation. We recently discovered by single cell profiling that...

Adaptive time stepping methods for meta-stable dynamics of the Allen Cahn and Cahn Hilliard equations are investigated in the spatially continuous, semi-discrete setting. Predicted behaviour of the number of time steps with specified local error...

My research program is motivated by fascination with bird flight. My laboratory group uses a multi-disciplinary approach that includes biomechanics, physiology, and neuroscience to examine flight ability. Our current research is organized around two...

I will discuss joint work with Lior Silberman in which we describe the topology of spaces of representations of Baumslag-Solitar groups into complex reductive algebraic groups.

A Digraphical Regular Representation (DRR) for a group G is a directed graph whose full automorphism group is the regular representation of G. In 1981, Babai showed that with five small exceptions, there is at least one DRR for every finite group. A...