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Mathias Christensen Cronjäger

Contact Details

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e-mail: cronjager ‘at’ stats.ox.ac.uk

Office 1.19
Department of Statistics
University of Oxford
24-29 St Giles
Oxford
OX1 3LB
United Kingdom
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office phone: +44 (0)1865 272874

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A brief summary of my life

  • Grew up in Denmark
  • Studied Mathematics in Berlin
  • Lives in Oxford and works on statistics and evolution

Academic profile

I am currently a DPhil student at the Oxford department of statistics, and a member of the Oxford Warwick Statistics Programme (OxWaSP).

Background

B.Sc. Mathematics, Technische Universität Berlin
Thesis title: Duality of Markov Processes: The Martingale based Approach

M.Sc. Mathematics, Technische Universität Berlin
Thesis title: On the expected site frequency spectrum associated with Ξ-coalescents

(both theses are available upon personal request)

Current research

I’m doing research in the area of statistical genetics; in particular my research concerns the development of improved inference algorithms for coalescent-based models. I find it to be a fascinating area of research since it ties together ideas from stochastic processes, population genetics, combinatorics, and modern statistics. This research is in collaboration with (and supervised by) Professors Jotun Hein and Paul Jenkins.

Broader interests (in decreasing order of rigour)

Beyond its application within my own research I am interested in statistics and probability theory, and  in particular in the intersection between probability and functional analysis. Combinatorics (in particular analytic combinatorics) also interests me a great deal.

On the softer side of things, I have an interest in mathematical history (and the history of statistics) as well as the question of how to communicate statistical and probabilistic concepts and arguments to non-expert audiences.

Beyond this, I am a member of and contributor to both the classic papers reading group  and the humanities book club.

Publications

Articles in Peer reviewed Journals

Talks and posters

  • The slides for a talk on my research given at the University of Warwick statistics department’s Young Researchers Meeting on 3 Nov 2015 are available here.
  • I presented a poster on some of my research at ProbGen16 in September 2016. It is available here.
  • A poster on counting how many different sequences of events can produce a specific set of genetic sequences at the leaves of a coalescent-tree (under an infintie sites model of mutation)  is available here. These results were intially presented at ProbGen17 in Aarhus Denmark in September 2017.

Other writing

  • I have co-written a book review of Phylogeny: Discrete and Random Processes in Evolution By Mike Steel (published 2016). The review is available on the SIAM News blog in three parts: (part I, part II, part III). It is an edited version of an earlier (and more detailed) review of the same book which we have made available here.
  • As part of our Classic Papers reading group I wrote a summary of Rivest, Shamir, and Alderman (1978) (the original RSA-paper) which I think turned out rather well.