Forskning vid Uppsala universitet

Forskningsprojekt från 2014-01-01 till 2017-12-31

The main aim of this project is to further develop general tools which, given some mathematical object, provide a recipe for how to construct an interesting 2-categorical upgrade of this object, how to ...

Forskningsprojekt från 2012-01-01 till 2015-12-31

The proposed research is a multifaceted investigation centering on problems in homogeneous dynamics and fundamental questions about lattices. We will focus in particular on problems which hold the promise ...

Forskningsprojekt från 2018-01-01 till 2021-12-31

The aim of this project is to develop general tools andtechniques to attack various classification problems in higherrepresentation theory, more specifically, in 2-representationtheory of finitary 2-categories ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

The research program studies contact and symplectic topology and its relations to other geometric fields, in particular to physics inspired low-dimensional topology and knot theory. The main tool is theories ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

Satisfiability Modulo Theories (SMT) is a paradigm for constructing solvers for logical constraints modulo various background theories. Due to their efficiency and flexibility, SMT solvers are widely used ...

Forskningsprojekt från 2021-01-01 till 2024-12-31

The framework of string compactifications is of undisputed importance to connect string theory to the physics of our world, and has promoted progress in fields ranging from quantum gravity and cosmology ...

Forskningsprojekt från 2021-01-01 till 2024-12-31

The Fukaya category is a powerful invariant of exact symplectic manifolds in the form of an A-infinity category, the objects of which consist of (a suitable class of) its Lagrangian submanifolds, while ...

Forskningsprojekt från 2013-01-01 till 2016-12-31

This project studies the mathematical models arising from a variety of imaging techniques. These problems are formulated mathematically as "inverse problems" where one deduces information about the differential ...

Forskningsprojekt från 2017-01-01 till 2020-12-31

Conserved quantities are important in various areas of physics, as in many cases they provide an essential characterization of a physical system. However, to define the mass, center of mass, angular and ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

This project is in the area of Theoretical and Mathematical Physics. The main emphasis is on the development of new geometrical ideas and concepts originating from the modern string theory and the quantum ...

Forskningsprojekt från 2012-01-01 till 2014-12-31

This project is in the area of Theoretical and Mathematical Physics. The main emphasis is on the development of new geometrical ideas and concepts originating from the modern string theory and ...

Forskningsprojekt från 2014-01-01 till 2016-12-31

During the past decade there has been an important development of the mathematical tools available for high-energy physics. I have participated in and contributed to this development of Generalized Complex ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

This research project aims to study several related topics in higher dimensional Auslander-Reiten theory. Classical Auslander-Reiten theory is an important tool in representation theory of associative ...

Forskningsprojekt från 2013-01-01 till 2013-12-31

More than thirty years ago a result derived in the context of superspace supergravity indicated that even the most promising supergravity candidate had problems when viewed as a model for quantum gravity ...

Forskningsprojekt från 2018-12-01 till 2021-12-31

The main purpose of this project is to further the understanding of exact Lagrangian manifolds in symplectic manifolds, and understand the relations to quantum physics. We propose the following specific ...

Forskningsprojekt från 2015-01-01 till 2018-12-31

Mathematical morphology (MM) is a widely-used framework for efficient processing and analysis of images. Linear filters, according to the Nyquist-Shannon sampling theory, are not affected by the sampling ...

Forskningsprojekt från 2013-01-01 till 2016-12-31

Symplectic and contact geometry has its roots in the mathematical description of mechanics. Its modern development was initiated in the early 1980´s with conjectures by Arnold and then shaped by Gromov ...

Forskningsprojekt från 2020-12-01 till 2024-11-30

Over the last 35 years, the study of the role of geometric and topological aspects of fundamental physics in gauge theory and strings has been a central theme in both theoretical physics and in geometry ...