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Daniel Siemssen

Associate Lecturer in Mathematical Physics

University of York

Biography

I am currently an Associate Lecturer in Mathematical Physics at the University of York.

I completed my undergraduate degree in physics at the University of Hamburg (Germany) in 2011, and my PhD in mathematics at the University of Genoa (Italy) in 2015. Following that I held post-doctoral positions at the University of Warsaw (Poland) and the University of Wuppertal (Germany). After an interim professorship in Wuppertal, I joined the Department of Mathematics in York in 2019.

Some research interests: PDEs, differential operators on manifolds, microlocal analysis, functional analysis, mathematical physics, mathematical aspects of quantum field theory and quantum field theory in curved spacetimes.

Positions & Education

 
 
 
 
 

Associate Lecturer in Mathematical Physics

Department of Mathematics, University of York

Oct 2019 – Present York, U.K.
 
 
 
 
 

Interim Professor in Applied Mathematics

Department of Mathematics and Informatics, University of Wuppertal

Oct 2018 – Sep 2019 Wuppertal, Germany
 
 
 
 
 

Postdoctoral position

Department of Mathematics and Informatics, University of Wuppertal

Oct 2017 – Sep 2018 Wuppertal, Germany
 
 
 
 
 

Adiunkt naukowy (Assistant Professor)

Faculty of Physics, University of Warsaw

Oct 2015 – Sep 2017 Warsaw, Poland
 
 
 
 
 

Riemann Fellowship

Riemann Center for Geometry and Physics, University of Hannover

Mar 2015 – Jun 2015 Hannover, Germany
 
 
 
 
 

PhD studies

Department of Mathematics, University of Genoa

Jan 2012 – Feb 2015 Genoa, Italy
 
 
 
 
 

Diploma studies

Department of Physics, University of Hamburg

Oct 2005 – Jun 2011 Hamburg, Germany

Publications

An Evolution Equation Approach to Linear Quantum Field Theory

In this paper we describe the construction of various propagators based on an abstract theory of (non-autonomous) evolution equations …

The Cosmological Semiclassical Einstein Equation as an Infinite-Dimensional Dynamical System

We develop a comprehensive framework in which the existence of solutions to the semiclassical Einstein equation (SCE) in cosmological …

Pseudodifferential Weyl Calculus on (Pseudo-)Riemannian Manifolds

One can argue that on flat space $\mathbb{R}$ the Weyl quantization is the most natural choice and that it has the best properties (eg …

An Evolution Equation Approach to the Klein–Gordon Operator on Curved Spacetime

We develop a theory of the Klein–Gordon equation on curved spacetimes. Our main tool is the method of (non-autonomous) evolution …

Quantum Energy Inequalities in Pre-Metric Electrodynamics

Pre-metric electrodynamics is a covariant framework for electromagnetism with a general constitutive law. Its lightcone structure can …

Feynman Propagators on Static Spacetimes

We consider the Klein–Gordon equation on a static spacetime and minimally coupled to a static electromagnetic potential. We show …

Electromagnetic Potential in Pre-Metric Electrodynamics: Causal Structure, Propagators and Quantization

An axiomatic approach to electrodynamics reveals that Maxwell electrodynamics is just one instance of a variety of theories for which …

Enumerating Permutations by their Run Structure

Motivated by a problem in quantum field theory, we study the up and down structure of circular and linear permutations. In particular, …

Global Existence of Solutions of the Semiclassical Einstein Equation for Cosmological Spacetimes

We study the solutions of the semiclassical Einstein equation in flat cosmological spacetimes driven by a massive conformally coupled …

Scale-Invariant Curvature Fluctuations from an Extended Semiclassical Gravity

We present an extension of the semiclassical Einstein equations which couples n-point correlation functions of a stochastic Einstein …

Hadamard States for the Vector Potential on Asymptotically Flat Spacetimes

We develop a quantization scheme for the vector potential on globally hyperbolic spacetimes which realizes it as a locally covariant …

Teaching

Currently (spring term 2020) I am teaching:

  • Quantum Information

Previously I taught:

  • Quantum Mechanics I
  • General Relativity
  • Measure and Integration Theory
  • Risk Theory
  • Introduction to Stochastics
  • Seminar on Wave Equations (Theory and Applications)
  • Exercises for Functional Analysis II
  • Exercises for Mathematical Introduction to Quantum Field Theory

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