Video Lectures

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...

Letters are considered some of the most valuable sources for historical research. Not only does their content cover a variety of different themes, events, persons, etc., but letters also depict networks between people. Yet due to editorial 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...

Sheffield showed that conformally welding a γ-Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (SLE) curve with parameter κ=γ2 as the interface, and Duplantier-Miller-Sheffield proved similar stories for κ=16/γ2...

I will present a somewhat novel approach to known relationships (in works of Sheffield, Miller, and others) between SLE and GFF, the exponential of the GFF (quantum length/area), and Minkowski content of paths. The Neumann GFF is defined as the real...