Lukas Lüchtrath

Introduction

I am a PhD student and research assistant in the research group of Prof. Peter Mörters at the University of Cologne. My main area of interest is probability theory. I am currently working on random networks and their geometry.
I did my Master's in mathematics in 2018 and my Bachelor's in business mathematics in 2014 at University of Cologne.

Published Papers

• The age-dependent random connection model
  with Peter Gracar, Arne Grauer and Peter Mörters
  Queueing Systems (2019), 93(3), 309-331, DOI: 10.1007/s11134-019-09625-y
• Preferential attachment with location-based choice: Degree distribution in the noncondensation phase
  with Arne Grauer and Mark Yarrow
  Journal of Statistical Physics (2021), 184, Doi: 10.1007/s10955-021-02782-6

Submitted Papers

• Percolation phase transition in weight-dependent random connection models
  with Peter Gracar and Peter Mörters
  ArXiv preprint

Selected Talks

• The age-dependent random connection model
  Invited speaker in the Probability and Statistics Seminar Series of University of Sheffield, April 2019.
  With Arne Grauer

Teaching

Current semester:

• Running the excercises for the lecture Wahrscheinlichkeitstheorie I
• Supervising the Seminar about Punktprozesse



Former semesters:

• Mathematik für Lehramtsstudierende I & II
• Stochastische Finanzmathematik
• Wahrscheinlichkeitstheorie I & II
• Einführung in die Stochastik
• Markovprozesse
• Lineare Algebra I & II