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Christoph Koch

Christoph Koch

Department of Statistics
24-29 St Giles'
Oxford OX1 3LB, UK

Office: 3.10
Tel: +44 (0)1865 281543
E-Mail: christoph.koch(at)stats.ox.ac.uk

Currently, I am a Postdoctoral Researcher in the Oxford Probability group. My research area are the fields of discrete probability theory and combinatorics. The focus of my PhD were phase transition phenomena in random (hyper-)graphs and their behaviour near and at criticality. Furthermore, I am interested in percolation processes on random (hyper-)graphs and spatial models of real-world networks. More recently, I have been working arithmetic progressions in random sets with a focus on multivariate central limit theorems and moderate deviations.

My Erdős number is 2.


Teaching: 2019/20


Publications


Research Visits

  • PUC Rio de Janeiro, November 2019 (Host: S. Griffiths)
  • ETH Zürich, October - December 2015, June 2017 (Host: A. Steger)
  • University of Birmingham, July 2014 (Host: N. Fountoulakis)

Selected Talks

  • Bivariate fluctuations for the numbers of arithmetic progressions in random sets, Random Structures and Algorithms 2019, ETH Zürich, Switzerland, 15-19 July 2019.
  • How to re-establish a brand: bootstrap percolation in social networks, Workshop on Structure and Randomness in Hypergraphs, LSE London, UK, 17-21 December 2018.
  • Phase transition phenomena and the evolution of random hypergraphs, DMV Symposium, TU Graz, Austria, 16 June 2018.
  • Localised Infections in Geometric Inhomogeneous Random Graphs, Random Structures and Algorithms 2017, Gniezno, Poland, 7-11 August 2017.
  • Jigsaw percolation on random hypergraphs, ALEA in Europe 2016, LMU München, Germany, 22-26 February 2016.
  • Evolution of high-order connected components in random hypergraphs, Random Structures and Algorithms 2015, CMU Pittsburgh PA, USA, 27-31 July 2015.
  • The size of the largest component in random hypergraphs, Discrete Mathematics Day, KFU Graz, Austria, 16 May 2014.
  • Size of the largest component in a 2-type generalization of Erdős-Rényi random graphs, ALEA in Europe, CIRM Luminy, France, 20-25 October 2013.

Teaching: Previous Years

University of Oxford

  • SB3.1 Applied Probability (Hilary Term 2019), class tutorials
  • A4 Integration (Hilary Term 2019), college tutorials at Lady Margret Hall

TU Graz

  • Calculus II (Summer term 2014), class tutorials
  • Complex Analysis (Winter term 2013/14), class tutorials
  • Mathematics II for mechanical engineers (Summer Term 2013), class tutorials
  • Selected topics in Discrete Mathematics: Probabilistic Methods (Winter Term 2012/13), class tutorials
  • Mathematics I for mechanical engineers (Winter Term 2012/13), class tutorials
  • Mathematical Analysis of Algorithms (Summer Term 2012), class tutorials

Last updated: 11 February 2020