Dr Pierre-Philippe Dechant
BA/MA (Cantab), CASM/MMath (Cantab), PhD (Cantab)
I am a Lecturer in the Departments of Mathematics and Biology, based at the York Centre for Complex Systems Analysis. My PhD was in the field of theoretical particle cosmology, with particular interests in Clifford algebras and the role of symmetries in particle physics, cosmology and general relativity. I am interested in the role of symmetry in virus structure and assembly, as well other topics in virology, group theory and applications thereof. I teach "Applications of Group Theory to Virology" and "Numerical Techniques for Modelling Biological Systems" in Mathematics and "Principles of Molecular Virology" in Biology. I coordinate the Pint of Science Festival in York (http://pintofscience.co.uk/events/york/), and am a panellist for the Equality Challenge Unit (Athena Swan/Race Charter), as well as being on the Maths Equality and Good Practice Committee.
The $E_8$ Geometry from a Clifford Perspective (Distinction in the David Hestenes Prize). Advances in Applied Clifford Algebras. :1–25.. 2016.
A 3D spinorial view of 4D exceptional phenomena. Symmetries in Graphs, Maps, and Polytopes: 5th SIGMAP Workshop, West Malvern, UK, July 2014. 159:81.. 2016.
The birth of $E_8$ out of the spinors of the icosahedron. Proceedings of the Royal Society A.. 2016.
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.
Rank-3 root systems induce root systems of rank 4 via a new Clifford spinor construction. Journal of Physics: Conference Series. 597:012027.. 2015.
Viruses and fullerenes – symmetry as a common thread? Acta Crystallographica Section A, March cover article; Nature Physics Research Highlight. 70:162–167.. 2014.
A Clifford Algebraic Framework for Coxeter Group Theoretic Computations. Advances in applied Clifford algebras, Conference Prize at AGACSE 2012. 24(1). 2014.
Platonic solids generate their four-dimensional analogues. Acta Crystallographica Section A: Foundations of Crystallography. 69:592–602.. 2013.
Clifford Algebra Unveils a Surprising Geometric Significance of Quaternionic Root Systems of Coxeter Groups. Advances in Applied Clifford Algebras. 23:301–321.. 2013.
Affine extensions of non-crystallographic Coxeter groups induced by projection. cover article Journal of Mathematical Physics September 2013. 54(9). 2013.
Novel Kac-Moody-type affine extensions of non-crystallographic Coxeter groups. Journal of Physics A: Mathematical and Theoretical. 45(28):285202:1-14.. 2012.
Department of Mathematics, University of York, Heslington, York, UK. YO10 5DD