Marie Curie bevillinger til Spaas og Olivieri

Marie Skłodowska-Curie Actions (MSCA) støtter forskeres mulighed for at forske i udlandet ito år. Hver bevilling er på lidt mere end end 1,5 million kroner.

Læs mere om Research Fellowship-programmet.

Pieter Patrick Spaas - Gruppestabilitet og kvanteinformationsteori

Pieter arbejder som postdoc i instituttets sektion for Analyse & Quantum. Pieters forskningsinteresser har hovedsageligt drejet sig om operatoralgebraer og ergodisk teori. De strækker sig dog også til flere tilstødende områder, herunder gruppeteori og deskriptiv mængdelære. 

Pieter er fra Belgien og modtog sine bachelor- og mastergrader fra henholdsvis Hasselt Universitet og KU Leuven. Han fik efterfølgende sin ph.d. i 2019 fra UC San Diego under supervision af professor Adrian Ioana og var adjunkt ved UCLA, inden han flyttede til København.

Pieter fortæller om sit MSCA-forskningsprojekt ”Gruppestabilitet og kvanteinformationsteori”:

”The focus concerns stability properties for groups and their connections with quantum information theory. Intuitively, a mathematical object is stable when approximate properties are "close" to actual properties. Examples include approximate representations of groups and near-optimal strategies for non-local games in quantum information theory. In relation to both, the research in this project aims to introduce stability for quantum groups, and to develop a systematic approach towards characterizing stability for various classes of groups, notably "graph product-like" groups and amenable groups.

Stability is connected to operator algebras, character theory, dynamical systems, and several other areas in mathematics, which will allow the research project to build on existing results as well as establish new connections”.

Pieters postdoc-mentor er professor Magdalena Musat.

Marco Olivieri - Universal Description of the Bose Gases

Marco bliver fra august ansat som postdoc i sektionen for Analyse & Quantum, tilknyttet QMATH, Centre for the Mathematics of Quantum Theory.

Marco opnåede sin ph.d. i januar 2021 ved Sapienza University of Rome. Han er i dag postdoc-forsker ved Aarhus Universitet, hvor han arbejdede i en gruppe vejledt af professor Søren Fournais. Søren er flyttet til Københavns Universitet – og Marco følger efter til august.

Marco beskriver sit MSCA-projekt "Universal Description of the Bose Gases" som følger:

“The low energy levels of the dilute Bose gases can be expressed, for a wide range of potentials between the particles, by universal expansion formulas depending only on one parameter, the scattering length of the potential. Aim of the project UniBoGas is to classify for which kind of potentials the universal description holds, and up to which precision of the expansion.

The analysis will be worked out by studying three paradigmatic examples:

• We will evaluate the energy for systems with potentials with repulsive and attractive parts.
• We will prove that the energy of systems composed of two kinds of bosons can be approximated by the energy of effective non-linear models.
• We are going to evaluate the low energy levels of the hard-spheres (hard-core potential) system.

The methodology used includes both the improvement of pre-existing techniques in the Bogolubov Theory and the introduction of new methods of localization, Semi-Classical Analysis and variational methods”.