This is an exciting time for stellar astrophysics as
high-cadence time domain surveys (Gaia, PTF, ZTF, ATLAS, Kepler,
TESS, and, in the near future, the Vera Rubin Observatory) are
revolutionizing the landscape of stellar studies by allowing
the...
Some aspects of the black hole spectrum, coming from spacetime
wormhole contributions, can be modeled by a random matrix ensemble.
It is important to understand the appropriate ensemble for theories
with extended supersymmetry, since for example...
The Toda lattice is one of the earliest examples of non-linear
completely integrable systems. Under a large deformation, the
Hamiltonian flow can be seen to converge to a billiard flow in a
simplex. In the 1970s, action-angle coordinates were...
The cosmic microwave background is a sensitive probe of
early-Universe physics, and yet fundamental constants at
recombination can differ from their present day values due to
degeneracies in the standard cosmological model. Such scenarios
have been...
Symmetric power functoriality is one of the basic cases of
Langlands' functoriality conjectures and is the route to the proof
of the Sato-Tate conjecture (concerning the distribution of the
modulo p point counts of an elliptic curve over Q, as the...
A large toolbox of numerical schemes for dispersive equations
has been established, based on different discretization techniques
such as discretizing the variation-of-constants formula (e.g.,
exponential integrators) or splitting the full equation...
This talk is based on a joint work with Steve Lester.
We review the Gauss circle problem, and Hardy's conjecture
regarding the order of magnitude of the remainder term. It is
attempted to rigorously formulate the folklore heuristics behind
Hardy's...
Perhaps the most important problem in physics or quantum
chemistry is to determine properties of the ground state of an
interacting system of fermions. As a quantum mechanical
problem, there may be no efficient classical witness to the ground
state...
