In my research, I have applied mathematical techniques such as homology, catastrophy, integral geometry and Picard-Lefschetz theory to problems in cosmology. I have applied these techniques to the formation and properties of the cosmic microwave background radiation field, the formation of the large-scale structure and the study of the big bang in Lorentzian quantum cosmology. In my work, I attempt to study observable phenomena, using conservative assumptions in a critical and mathematically rigorous fashion. See links below for a summary of my main projects.

 

Publications:

Job Feldbrugge, Matti van Engelen, Rien van de Weygaert, Pratyush Pranav, Gert Vegter. Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams. 2019. [arXiv][pdf]

Alice Di Tucci, Job Feldbrugge, Jean-Luc Lehners, Neil Turok. Quantum Incompleteness of Inflation. 2019. [arXiv][pdf]

Pratyush Pranav, Rien van de Weygaert, Gert Vegter, Bernard J. T. Jones, Robert J. Adler, Job Feldbrugge, Changbom Park, Thomas Buchert, Michael Kerber. Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals. 2018. [arXiv][pdf]

Job Feldbrugge, Jean-Luc Lehners, Neil Turok Inconsistencies of the New No-Boundary Proposal. 2018. [arXiv][pdf]

Job Feldbrugge, Jean-Luc Lehners, Neil Turok No Rescue for the No Boundary Proposal. 2017. [arXiv][pdf]

Job Feldbrugge, Jean-Luc Lehners, Neil Turok No smooth beginning for spacetime. 2017. [arXiv][pdf]

J. Feldbrugge, R. van de Weygaert, J. Hidding, J. Feldbrugge Caustic Skeleton and Cosmic Web. 2017. [arXiv][pdf]

Job Feldbrugge, Jean-Luc Lehners, Neil Turok Lorentzian Quantum Cosmology. 2017. [arXiv][pdf]

J. Feldbrugge, J. Hidding, R. van de Weygaert Statistics of Caustics in Large-Scale Structure Formation. 2014. [arXiv][pdf]

R. van de Weygaert, G. Vegter, H. Edelsbrunner, B. Jones, P. Pranav, C. Park, W. Hellwing, B. Eldering, N. Kruithof, E. Bos, J. Hidding, Job Feldbrugge, E. ten Have, M. van Engelen, M. Caroli, M. Teillaud Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web. 2013. [arXiv][pdf]

 

Theses:

Part III essay supervised by Paul Shellard, and Tommaso Giannantonio [pdf].

Master thesis supervised by Rien van de Weygaert, Diederik Roest and Aernout van Enter [pdf].

Bachelor thesis supervised by Rien van de Weygaert, Gert Vegter and Elisabetta Pallante [pdf].