A standard question in contemporary proteomics asks which
properties of proteins may be directly inferred from their
molecular structure. Using only X-Ray crystallography data (of the
type which is cataloged in the Protein Data Bank), I will
outline...
The problem of comparing shapes turns up in different guises in
numerous fields. I will discuss a new metric on the space of smooth
Riemannian 2-spheres that is well suited for comparing geometric
similarity. The metric is based on a distortion...
Experimental and computational model systems composed of
frictionless particles in a fixed geometry have a finite number of
distinct mechanically stable (MS) packings. The frequency of
occurrence for each MS packing is highly variable and
depends...
In topological data analysis, we often study data by associating
to the data a filtered topological space, whose structure we can
then examine using persistent homology. However, in many settings,
a single filtered space is not a rich enough...
The problem of determining clusters in a data set admits
different interpretations depending on whether the data is metric,
symmetric but not necessarily metric, or asymmetric. Whereas there
is a good degree of understanding of what are the natural...
In the first half of the talk I will give a very compressed
introduction into parts of Theoretical Distributed Computing from
the point of view of mathematician. I will describe how to
construct simplicial models whose combinatorics contains...
The recent advances in our understanding of topological states
of free-fermion insulators give some valuable concepts and tools
for the analysis of metals. The first part of this talk focuses on
low-energy electrodynamic responses of simple metals...
Critical mechanical structures are structures at the verge of
mechanical instability. These structures are characterized by their
floppy modes, which are deformations costing little energy. On the
one hand, numerous interesting phenomena in soft...