For a polynomial f∈ℚ[x], Hilbert's irreducibility theorem
asserts that the fiber f−1(a) is irreducible over ℚ for all values
a∈ℚ outside a "thin" set of exceptions Rf. The problem of
describing Rf is closely related to determining the
monodromy...
Speaker, Ryan Dubnicek, Digital Humanities
Specialist, HathiTrust Research Center
This workshop will introduce attendees to the HathiTrust
Research Center’s tools and services for utilizing the massive
HathiTrust Digital Library for computational...
For the Bargmann--Fock field on Rd with d>2, we prove that
the critical level lc(d) of the percolation model formed by the
excursion sets {f≥l} is strictly positive. This implies that for
every l sufficiently close to 0 (in particular for the nodal...
The past decade has seen the emergence of surprising new
connections between the real-world physics of elementary particle
scattering processes, and simple new mathematical structures in
combinatorics, algebra and geometry. These ideas provide, in
a...
Cosmic rays, the relativistic component of diffuse astrophysical
plasma, exchange energy and momentum with the thermal gas
collisionlessly, mediated by the ambient magnetic field. Some but
not all models of this interaction show that cosmic rays can...
A locally testable code (LTC) is an error correcting code that
admits a very efficient membership test. The tester reads a
constant number of (randomly - but not necessarily uniformly -
chosen) bits from a given word and rejects words with...
The prospect of an ultra-light dark matter particle (also known
as Fuzzy Dark Matter, or FDM) has recently drawn attention as a
promising alternative to standard Cold Dark Matter (CDM). When the
mass of the particle reaches below 10^-21 eV, quantum...
Edge excitations of (2+1)D topological phases are usually
described using continuum field theories. But the boundaries of
some (2+1)D topological phases can also be described using
lattice-like edge theories that have a finite dimensional
Hilbert...
Despite the fact that the 3-body problem is an ancient conundrum
that goes back to Newton, it is remarkably poorly understood, and
is still a benchmark for modern developments. In this talk, I will
give a (very) biased account of this classical...
