Publications
- Dechant P-P, He Y-H, Machine-learning a virus assembly fitness landscape, arXiv preprint arXiv:1901.05051 (2019)
- Dechant P-P, From the Trinity (A3, B3, H3) to an ADE correspondence, Proceedings of the Royal Society A 20180034 (2018), https://doi.org/10.1098/rspa.2018.0034
- Dechant P-P, The birth of E8 out of the spinors of the icosahedron, Proceedings of the Royal Society A 20150504 (2016), http://dx.doi.org/10.1098/rspa.2015.0504
- Dechant P-P, The E8 geometry from a Clifford perspective, Advances in Applied Clifford Algebras (2016), Distinction in the David Hestenes Prize
- Dechant P-P, A 3D spinorial view of 4D exceptional phenomena, Springer Proceedings in Mathematics and Statistics (2016)
- Dechant P-P, Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction, Institute of Physics Conference Series 597 012027 (2016), doi:10.1088/1742-6596/597/1/012027
- Dechant P-P, Clifford Algebra is the Natural Framework for Root Systems and Coxeter Groups. Group Theory: Coxeter, Conformal and Modular Groups, Advances in Applied Clifford Algebras (2015); 10.1007/s00006-015-0584-3
- Dechant P-P, Wardman J, Keef T, Twarock R, Viruses and Fullerenes – Symmetry as a Common Thread?, Acta Crystallographica A70, 162-167 (2014), Cover article March, Research Highlight in Nature Physics
- Dechant P-P, A Clifford algebraic framework for Coxeter group theoretic computations, AGACSE 2012, La Rochelle, France, 07/2012, best paper award; Advances in Applied Clifford Algebras Volume 24, Issue 1, pp 89-108 (March 2014)
- Dechant P-P, Bœhm C, Twarock R, Affine extensions of non-crystallographic Coxeter groups induced by projection, Journal of Mathematical Physics 54, 093508 (2013), Cover article September
- Dechant P-P, Platonic Solids generate their four-dimensional analogues, Acta Crystallographica A69, 592-602 (2013)
- Dechant P-P, Clifford algebra unveils a surprising geometric significance of quaternionic root systems of Coxeter groups, Advances in Applied Clifford Algebras, Volume 23, Issue 2, pp 301-321 (June 2013)
- Dechant P-P, Bœhm C, Twarock R, Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups, Journal of Physics A: Math. Theor. 45 (2012) 285202
- Dechant P-P, Models of the Early Universe, PhD Thesis, Cambridge University
- Dechant P-P, Lasenby A N, Hobson M P, Cracking the Taub-NUT, Classical and Quantum Gravity, 27, 185010
- Dechant P-P, Lasenby A N, Hobson M P, Anisotropic, non-singular early universe model leading to a realistic cosmology, Physical Review D, vol. 79, Issue 4, id. 043524