Affine extensions of non-crystallographic Coxeter groups induced by projection PP Dechant, C Boehm, R Twarock Journal of Mathematical Physics 54 (9), 093508, 2013 | 18 | 2013 |

Novel Kac–Moody-type affine extensions of non-crystallographic Coxeter groups PP Dechant, C Boehm, R Twarock Journal of Physics A: Mathematical and Theoretical 45 (28), 285202, 2012 | 18 | 2012 |

Viruses and fullerenes–symmetry as a common thread? PP Dechant, J Wardman, T Keef, R Twarock Acta Crystallographica Section A: Foundations and Advances 70 (2), 162-167, 2014 | 15 | 2014 |

Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups PP Dechant Advances in Applied Clifford Algebras 23 (2), 301-321, 2013 | 12 | 2013 |

Anisotropic, nonsingular early universe model leading to a realistic cosmology PP Dechant, AN Lasenby, MP Hobson Physical Review D 79 (4), 043524, 2009 | 12 | 2009 |

A Clifford algebraic framework for Coxeter group theoretic computations PP Dechant Advances in applied Clifford algebras 24 (1), 89-108, 2014 | 11 | 2014 |

The birth of *E*_{8} out of the spinors of the icosahedronPP Dechant Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2016 | 9 | 2016 |

Platonic solids generate their four-dimensional analogues PP Dechant Acta Crystallographica Section A: Foundations of Crystallography 69 (6), 592-602, 2013 | 8 | 2013 |

Clifford algebra is the natural framework for root systems and Coxeter groups. Group theory: Coxeter, conformal and modular groups PP Dechant Advances in Applied Clifford Algebras 27 (1), 17-31, 2017 | 7 | 2017 |

Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction PP Dechant Journal of Physics: Conference Series 597 (1), 012027, 2015 | 7 | 2015 |

The *E* _{8} Geometry from a Clifford PerspectivePP Dechant Advances in Applied Clifford Algebras 27 (1), 397-421, 2017 | 2 | 2017 |

A 3D spinorial view of 4D exceptional phenomena PP Dechant Symmetries in graphs, maps, and polytopes workshop, 81-95, 2014 | 1 | 2014 |

Cracking the Taub-NUT PP Dechant, AN Lasenby, MP Hobson Classical and Quantum Gravity 27 (18), 185010, 2010 | 1 | 2010 |

Machine-learning a virus assembly fitness landscape PP Dechant, YH He arXiv preprint arXiv:1901.05051, 2019 | | 2019 |

From the Trinity (*A*_{3}, *B*_{3}, *H*_{3}) to an *ADE* correspondencePP Dechant Proceedings of the Royal Society A 474 (2220), 20180034, 2018 | | 2018 |

Recent developments in mathematical virology PP Dechant | | 2018 |

A Clifford algebraic approach to reflection groups and root systems PP Dechant | | 2017 |

Root systems & Clifford algebras: from symmetries of viruses to E8 & an ADE correspondence PP Dechant | | 2017 |

Software Carpentry: Programming with Sage PP Dechant, A Konovalov, S Lelievre | | 2017 |

Discrete subgroups of Pin groups PP Dechant, R Ablamowicz | | 2017 |