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RTG 2575/1: Rethinking Quantum Field Theory

Plefka, Jan, Prof. Dr. (Theoretical Physics / Quantum Field Theory beyond the Standard Model and String Theory)

Duration of project: 04/2020 - 09/2024

Recent findings have revealed that the Standard Model of particle physics – which brings together the current understanding of the physics of elementary particles in a quantum field theory – requires rethinking. Using a broad research approach, the R ...

RTG 2434: Facets of Complexity

Schweikardt, Nicole, Prof. Dr. (Theoretical Computer Science)

Duration of project: 04/2018 - 09/2022

Complexity is a central topic both in mathematics and in computer science. It appears in various forms: there is combinatorial complexity (number) of mathematical structures; description complexity (the possibility of encoding a structure succinctly ...

RTG 1504/2: Mass, Spectrum, Symmetry

Lacker, Heiko, Prof. Dr. (Experimental Physics / Elementary Particles Physics II)

Duration of project: 10/2013 - 12/2018

The standard model of elementary particle physics summarises our theoretical understanding of the nature of elementary particles and has been formidably confirmed by experiment in the last decades. It is nevertheless clear that the standard model onl ...

RTG 1504/1: Mass, Spectrum, Symmetry: Particle Physics in the Era of the Large Hadron Collider

Plefka, Jan, Prof. Dr. (Theoretical Physics / Quantum Field Theory beyond the Standard Model and String Theory)

Duration of project: 04/2009 - 12/2013

The standard model of elementary particle physics summarizes our theoretical understanding of the nature of elementary particles and has been formidably confirmed by experiment in the last decades. It is nevertheless clear that the standard model onl ...

RG 2569/1: Agricultural Land Markets – Efficiency and Regulation (SP 07)

Lakes, Tobia, Prof. Dr. (Applied GIScience)

Duration of project: 10/2017 - 01/2021

Agricultural land markets in Germany have changed substantially in the last decade, with rapidly increasing land sales and land rental prices. As a result, the spatial configuration of agricultural land use has changed, with a trend towards a higher ...

RG 2402/2: Singular SPDEs – approximation and statistical properties (SP 05)

Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

Duration of project: 10/2019 - 09/2022

Our aim is to better understand the dynamic behavior of singular SPDEs. In particular, we will study stochastic interface models like the KPZ equation or wetting models and we will investigate the intermittency properties of the continuous parabolic ...

RG 2402/2: Foundation of Regularity Structures (SP 02)

Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

Duration of project: 10/2019 - 09/2022

We explore new approaches to renormalization, the scope of non-local operators in Hairer’s theory of regularity structures, as well as the role of Malliavin calculus in (Gaussian) models on suitable regularity structures. Another goal is to explore t ...

RG 2402/1: Singular SPDEs: Approximation and Statistical Properties (SP 05)

Perkowski, Nicolas, Prof. Dr. (Stochastic Analysis)

Duration of project: 10/2016 - 09/2019

The powerful and novel theories of regularity structures and paracontrolled distributions have so far been used mostly for deriving existence, uniqueness and regularity results for singular stochastic partial differential equations (SPDEs). We feel t ...

RG 2402/1: Rough Path Theory and Random Dynamic Systems (SP 04)

Imkeller, Peter, Prof. Dr. rer. nat. (Applied Theory of Probability)

Duration of project: 02/2016 - 01/2019

Rough paths theory and its extensions allow to analyse the solution to stochastic (partial) differential equations (S(P)DE) which could not be solved up to now. We will study the long time behaviour of these solutions. The theory of random dynamical ...

RG 2177/1: Inline Characterization of Reactions in Microfluidic Systems Using SERS (SP 03)

Kneipp, Janina, Prof. Dr. rer. nat. (Physical Chemistry)

Duration of project: 10/2015 - 03/2020

The application of SERS in microfluidic structures enables the sensitive detection of reacting species. Therefore, it is, in principle, possible to monitor chemical reactions in situ. Apart from the identification and quantification of reactants, SER ...