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First-principle approach to the superpositions of gravitational fields in atom interferometry
Understanding the fundamental nature of gravity at the interface with quantum theory is a major open question in theoretical physics. Recent progress in experiments has enabled probing the interaction of...
Nov 14, 2022
Causality and Ideal Measurements of Smeared Fields in Quantum Field Theory
The usual quantum mechanical description of measurements, unitary kicks, and other local operations has the potential to produce pathological causality violations in the relativistic setting of quantum field theory (QFT)...
Nov 17, 2022
Toys can't play: physical agents in Spekkens' theory
Information is physical, and for a physical theory to be universal, it should model observers as physical systems, with concrete memories where they store the information acquired through experiments and...
Oct 14, 2022
Phenomenological thermodynamics with multiple quantities of interest
Joint work (in progress) with Ladina Hausmann, Nuriya Nurgalieva and Renato Renner We can classify contemporary approaches to thermodynamics in roughly four camps: (1) Top-down microscopic approaches. These are for...
Oct 21, 2022
Integrable line defects and 4d Chern-Simons theory
I discuss an application of a recent construction of 2d integrable field theories from 4d Chern-Simons theory by Costello and Yamazaki. After a review of the construction, I consider integrable...
Oct 17, 2019
Equivariant localization and Atiyah-Segal completion for Hochschild and cyclic homology
There is a close relationship between derived loop spaces, a geometric object, and Hochschild homology, a categorical invariant, made possible by derived algebraic geometry, thus allowing for both intuitive insights...
Oct 24, 2019
3D Mirror Symmetry and HOMFLY-PT Homology
A recent construction of HOMFLY-PT knot homology by Oblomkov-Rozansky has its physical origin in “B-twisted” 3D N=4 gauge theory, with adjoint and fundamental matter. Mathematically, the construction uses certain categories...
Oct 31, 2019
Relativity, Particle localizability, and Entanglement
Can a relativistic quantum field theory be consistently described as a theory of localizable particles? There are many well-known obstructions to such a description. Here, we trace exactly how such...
Nov 05, 2019
Bridgeland stability conditions relative to a boundary
In this talk I will present a construction of relative Bridgeland stability conditions that appeared in my work on stability of topological Fukaya categories of surfaces. This construction gives a...
Nov 07, 2019
The Diamond Lemma for (multiplicative) preprojective algebras
Bergman's Diamond Lemma for ring theory gives an algorithm to produce a (non-canonical) basis for a ring presented by generators and relations. After demonstrating this algorithm in concrete, geometrically-minded examples...
Nov 14, 2019