## Employment

- 10/2014 University of
**York**(UK) – Lecturer in Mathematics and Biology, York Centre for Complex Systems Analysis - 10/2013
**Durham**University (UK) – Lecturer in Mathematics - 02-07/2013
**Arizona**State University (US) – Visiting Scholar - 02/2012–09/2013
**Durham**University (UK) – Associate Fellow in Particle Physics Phenomenology - 11/2010–01/2012 University of
**York**(UK) – Postdoctoral Research Assistant in Mathematics/Virology

## Education

- 2006–2010 University of
**Cambridge**(UK) – PhD in Theoretical Physics (conferred on 23/07/2011) - 2004–2005 University of
**Cambridge**(UK) – Part III Maths: Certificate of Advanced Studies in Mathematics CASM/MMath - 2001–2004 University of
**Cambridge**(UK) – BA/MA (Hons) in Natural Sciences *2*003**Harvard**University (US) – Computer Science, Quantum Field & String Theory (**Lord Butterfield Harvard Scholar**)- 2000–2001 FernUniversitaet
**Hagen**(Germany) – Mathematics and Philosophy - 1991–2000 Helmholtz-Gymnasium
**Essen**(Germany) – Abitur (Mathematics, Physics, French, History)

## Research

- 2014–date Lectureship in Mathematics and Biology:
**Symmetries and Viruses**, York, United Kingdom

- 2013–2014 Lectureship in Mathematics:
**Mathieu Moonshine**, with Prof Anne Taormina and Dr Peter Bowcock, Centre for Particle Theory, Mathematics, Durham, United Kingdom - 2013 PostDoc in Mathematical Physics:
**Coxeter groups and Clifford Algebra, with applications in Physics and Biology**, with Prof David Hestenes and Prof Michael Thorpe, Physics Department, Arizona State University, United States - 2012–2013 PostDoc in HEP:
**Coxeter groups, Clifford Algebras and High Energy Physics**, with Dr Celine Bœhm and Prof Silvia Pascoli, Institute for Particle Physics Phenomenology, Durham, United Kingdom - 2010–2012 PostDoc in Mathematics:
**Kac-Moody-type affine extensions of non-crystallographic Coxeter Groups**, with Prof Reidun Twarock, York Mathematics Department and York Centre for Complex System Analysis (YCCSA), United Kingdom - 2006–2010 PhD:
**Models of the Early Universe**(Theoretical Particle Cosmology), with Profs Anthony Lasenby and Mike Hobson; viva on 07/04/2011 with Profs David Wands and Steve Gull; Cavendish Laboratory (Astrophysics) & Kavli Institute for Cosmology, Cambridge, United Kingdom - 2005 Part III Essay:
**Chameleon Cosmology**, with Prof Anne-Christine Davis, Department for Applied Mathematics and Theoretical Physics (DAMTP), Cambridge, United Kingdom

- 2004 Part II Literature Review:
**Luttinger Liquids**, with Profs Brian Josephson and Nigel Cooper, Cavendish Laboratory, Cambridge, United Kingdom

- 2003 Summer project:
**NASA Terrestrial Planet Finder**, with Prof Wes Traub, Harvard-Smithsonian Centre for Astrophysics, Cambridge, MA, United States - 2002 Summer project:
**Immunosuppressive Peptide in Hepatitis C-Virus**, with Profs Sergei Viazov and Michael Roggendorf, Institute for Virology, Essen, Germany - 2000–2001 National Service:
**Virus Diagnostics and Cloning of TT-Virus Genome**, with Profs Sergei Viazov and Michael Roggendorf, Institute for Virology, Essen, Germany

## Teaching

- York Maths:
**Group and Representation Theory**(4th year/Masters),**Numerical Techniques for Modelling Biological Systems**(4th year/Masters), MMath/BSc project students - York Biology:
**Principles of Molecular Virology**(3rd year), Science Communication (2nd year), BSc project students - Durham Maths:
**Mathematical Physics**(2nd year),**Single Maths A**(1st year),**Mathematics for Scientists and Engineers**(1st year) - Durham Physics:
**Laboratory Skills**(1st year),**Paper Writing Skills**(1st year),**Enterprise Skills**(1st year),**General Physics**(3rd year) - York Biology:
**Virology Seminars**(1st & 2nd years) - Cambridge Natural Sciences Tripos:
**IB Mathematics**(2nd year) - Cambridge Natural Sciences Tripos:
**IB Physics and Advanced Physics**(2nd year

## Selected Talks

- 12/2016 An ADE-type correspondence from root systems and Clifford algebras, colloquium talk, City University, London
- 08/2016 A conformal construction of the modular and braid groups, plenary (closing) talk, Alterman Conference, Brasov, Romania
- 08/2016 A systematic construction of representations of quaternionic type, plenary (opening) talk, Alterman Conference, Brasov, Romania
- 02/2016 Surprises in icosahedral symmetry, colloquium talk, University of Hertfordshire
- 02/2016
**The birth of E8 out of the spinors of the icosahedron**, invited plenary talk, Integrable Systems in Newcastle - 01/2016 A new construction of E8 and the other exceptional root systems, Queen Mary University London algebra seminar
- 07/2015
**Novel applications of polyhedral groups in Mathematical Biology and Physics**, invited plenary talk, Quantum Theory and Symmetries, Yerevan, Armenia

- 07/2015
**A Clifford view of the E8 geometry**, AGACSE, Barcelona, Spain

- 05/2015
**Surprises in icosahedral symmetry**, Mathematics, Northumbria University

- 12/2014
**A 3D spinorial view of 4D exceptional phenomena**, Mathematics, Charles University, Prague

- 12/2014
**Affine extensions of non-crystallographic Coxeter groups**, Doppler Institute, Technical University, Prague

- 11/201
**4****A 3D spinorial view of 4D exceptional phenomena**, Algebra Seminar, York

- 11/2014
**A 3D spinorial view of 4D exceptional phenomena**, Birkbeck Pure and Applied Seminar, London

- 08/2014
**Viruses and Fullerenes – Symmetry as a Common Thread?**, Mathematical Virology, York - 08/2014
**Platonic Solids generate their four-dimensional analogues**, ICCA10, Tartu, Estonia - 07/2014
**An affine symmetry approach to the construction of carbon onions**, Group30, Ghent, Belgium

- 07/2014
**Platonic Solids generate their four-dimensional analogues**, SIGMAP, Malvern, UK - 03/2014
**Recent developments in affine symmetry principles for non-crystallographic systems**,*Open Statistical Physics*, Open University, Milton Keynes

- 02/2014
**What Clifford algebra can do for Coxeter groups and root systems**, High Energy Physics Seminars, Durham Mathematics - 07/2013
**What Clifford algebra can do for Coxeter groups and root systems**, invited talk at*Symmetries of Discrete Systems and Processes*, Decin, Czech Republic - 02/2013
**A Clifford approach to polyhedral groups**, Arizona State University, Phoenix, USA - 07/2012
**A Clifford algebraic framework for Coxeter group theoretic computations**, Best Paper Award,*AGACSE 2012*, La Rochelle, France

- 05/2012
**From E8 to viruses – affine extensions of (non-crystallographic) Coxeter groups**, High Energy Physics Seminars, Durham Mathematics

- 02/2010
**Bianchi Cosmologies**, Cosmology Seminar, Kavli Institute for Cosmology - 01/2009
**Anisotropic, non-singular early universe model leading to a realistic cosmology**, Cambridge Cosmology Seminar, DAMTP - 11/2008
**A new Bianchi model**, Astrophysics Seminar, Cavendish Laboratory - 09/2008
**Anisotropic, non-singular early universe model leading to a realistic cosmology**, UniverseNet meeting, Oxford - 05/2008
**Vibrating branes in a throat**, Astrophysics Seminar, Cavendish Laboratory - 05/2007
**Chameleon Cosmology**, Astrophysics Seminar, Cavendish Laboratory

## Visits

- 01/2017 St Andrew's & ICMS Edinburgh
- 12/2016 City University, London
- 12/2014 Doppler Institute, Technical University and Charles University, Prague
- 11/2014 Birkbeck University, London
- 04/2014
**Isaac Newton Institute**, Cambridge - 03/2014
**London Mathematical Society**, London - 06/2013
**University of California at Santa Barbara**, United States - 02/2013
**Harvard-Smithsonian Centre for Astrophysics**, Cambridge, MA, United States

## Professional Memberships

**Isaac Newton Institute**, Cambridge**London Mathematical Society**, London**Institute of Physics:**Gravitational Physics, Mathematical Physics, High Energy Physics Groups**Deutsche Physikalische Gesellschaft**