The claim is absurd: everybody knows that the order of value
goes the other way. By many commonly-cited criteria, physics is
better than sociology. On their side, the natural sciences have
Method, experiment, and quantification; they progress and...
This is a joint work with Reza Gheissari (Northwestern) and
Aukosh Jagannath (Waterloo), Outstanding paper award at NeurIPS
2022. We study the scaling limits of stochastic gradient descent
(SGD) with constant step-size in the high-dimensional regime...
Lagrangian Floer theory is a useful tool for studying the
structure of the homology of Lagrangian submanifolds. In some
cases, it can be used to detect more- we show it can detect the
framed bordism class of certain Lagrangians and in
particular...
Do the postulates of quantum mechanics survive in quantum
gravity? The probabilistic interpretation of amplitudes,
enforced by the unitarity of time evolution, is not guaranteed
within the path integral formulation and has to be
checked. ...
Merging binary neutron stars are an important class of sources
for advanced gravitational wave (GW) detectors such as LIGO and
VIRGO, as well as for searches for transient astronomical events.
In this talk, I will discuss two aspects of the GW...
I discuss the spectral and arithmetic side of the relative trace
formula of Kuznetsov type for congruence subgroups of SL(n, Z) with
applications to automorphic density theorems. A particular focus is
on properties of general Kloosterman sums as...
This talk will be about a ferromagnetic spin system called the
Blume-Capel model. It was introduced in the '60s to model an exotic
multi-critical phase transition observed in the magnetisation of
uranium oxide. Mathematically speaking, the model can...
The last decade has witnessed a revolution in the circle of
problems concerned with proving sharp moment inequalities for
exponential sums on tori. This has in turn led to a better
understanding of pointwise estimates, but this topic remains...
Robust sublinear expansion represents a fairly weak notion of
graph expansion which still retains a number of useful properties
of the classical notion. The general idea behind it has been
introduced by Komlós and Szemerédi around 25 years ago and...
We study a class of tree-level ansatzes for 2→2 scalar
and gauge boson amplitudes inspired by stringy UV completions.
These amplitudes manifest Regge boundedness and are exponentially
soft for fixed-angle high energy scattering, but unitarity in
the...
