Niels Gresnigt Ph.D.

Lecturer

Niels completed his PhD in Mathematical Physics from the University of Canterbury (Christchurch, New Zealand) in 2009. Since August 2014 Niels has been a Lecturer in the Mathematical Sciences department at XJTLU. His research interests include Theoretical High Energy Physics and Loop Quantum Gravity.


  • Ph.D. , University of Canterbury, - 2009
  • B.Sc , University of Canterbury, - 2005


  • Head of Mathematics Department, Nanjing Foreign Language School International Centre - 2012 to 2014
  • Mathematics teacher, A Level Centre at Suzhou High School - 2011 to 2012
  • Postdoctoral researcher, University of Canterbury - 2009 to 2010


  • The Exceptional Jordan Algebra
  • Division and Cayley-Dickson Algebras
  • Loop Quantum Gravity
  • Clifford Algebras
  • Quantum Groups
  • Knots and Braids
  • Theoretical High Energy Physics


  • Gresnigt, Niels G. 2020 'The Standard Model particle content with complete gauge symmetries from the minimal ideals of two Clifford algebras' Physics Letters B, 808, 135687
  • Gresnigt, Niels G. 2020 'A topological model of composite preons from the minimal ideals of two Clifford algebras' The European Physical Journal C, 80, 583
  • Gresnigt, Niels G. 2019 'A combing algorithm for orientable braided 3-belts' Journal of Mathematical Physics 60, 11, 113502
  • Gillard, Adam B. & Gresnigt, Niels G. 'Three fermion generations with two unbroken gauge symmetries from the complex sedenions' Eur. Phys. J. C 79: 446.
  • Gresnigt, Niels G. 2018 'Knotted boundaries and braid only form of braided belts' (arXiv preprint arXiv:1808.03910)
  • Gresnigt, Niels G. 2018 'Braids, normed division algebras, and Standard Model symmetries'. Phys. Lett. B, 783
  • Gresnigt, Niels G. 2017 'Quantum groups and braid groups as fundamental symmetries'. Proceedings of the European Physical Society Conference on High Energy Physics. 5-12 July, 2017 Venice, Italy (EPS-HEP2017). Online at http://pos.sissa.it. confid= 314, id. 665
  • Gresnigt, Niels G. 2017 'Deformations of the standard model: SUq(3) flavor symmetry'. Journal of Physics: Conference Series 804 (1), 012017
  • Gresnigt, Niels G. 2016 'Charge specific baryon mass relations with deformed SUq(3) flavor symmetry'. The European Physical Journal A, 52(10), 1-7
  • Butler, Philip H and Gresnigt, Niels G. 2016 'Symmetric but non-local pure-field expression of EM interactions'. Journal of Electromagnetic Waves and Applications 30 (13), 1681-1688
  • Gresnigt, Niels & Renaud, P. F. 2010 'On the Geometry of the Conformal Group in Spacetime', Bulletin of the Belgian Mathematical Society, vol. 17, no. 2, p. 193-200
  • Ahluwalia, D., Gresnigt, Niels, Nielsen, A., Schritt, D. & Watson, T. 2008 'Possible polarization and spin-dependent aspects of quantum gravity', Int. J. Mod. Phys. D, World Scientific, vol. , no. 17, p. 495
  • Gresnigt, Niels, Renaud, P. F. & Butler, P. H. 2007 'The Stabilized Poincare-Heisenberg Algebra: a Clifford Algebra Viewpoint', Int. J. Mod. Phys. D, World Scientific, vol. , no. 16, p. 1519-1529


  • Gresnigt, Niels G. To Appear ' Sedenions, the Clifford algebra Cl(8), and three fermion generations' Journal of Physics: Conference Series
  • Gresnigt, Niels G. 2019 'Braided fermions from Hurwitz algebras' Journal of Physics: Confer- ence Series 1194 (1), 012040
  • Gresnigt, Niels G. 2018 'Quantum groups and braid groups as fundamental symmetries' Proceedings of Science, Proceedings of the European Physical Society Conference on High Energy Physics. Online at http://pos.sissa.it. confid=314, id.665
  • Gresnigt, Niels G. 2017 'Deformations of the standard model: SUq(3) flavor symmetry' Journal of Physics: Conference Series, Volume 804, Number 1
  • Gillard, Adam B. & Gresnigt, Niels G. 2017 'Towards an emergent model of solitonic particles from non-trivial vacuum structure' EPJ Web of Conferences Vol 164, Article 08009
  • Gresnigt, Niels G. & Gillard, Adam B. 2017 'Deformations of spacetime and internal symmetries' EPJ Web of Conferences Vol 164, Article 07009


  • 2019, European Physical Society Conference on High Energy Physics. 'Sedenions, the Clifford algebra Cℓ(8), and three fermion generations'
  • 2018, The 32nd International Colloquium on Group Theoretical Methods in Physics. 'Braided fermions from Hurwitz algebras'
  • 2017, European Physical Society conference on High Energy Physics. 'Quantum groups and braid groups as fundamental symmetries'
  • 2016, 4th International Conference on New Frontiers in Physics. 'Deformations of spacetime and internal symmetries'
  • 2015, 5th International Conference on Integrable Systems and Quantum Symmetries. 'Deformations of the standard model: SUq(3) flavor symmetry'
  • 2015-2016, 6th International Workshop on High Energy Physics in the LHC Era / Theory and phenomenology of a knot particle model in deformed spacetime


  • Gresnigt, Niels G. 2020, Principal Supervisor. 'Theoretical basis of the Standard Model: A unified theory based on division algebras' Xi'an Jiaotong-Liverpool University Postgraduate Research Scholarship
  • Gresnigt, Niels G. 2019, Principal Investigator. 'Quantum Cosmology from the Superposition of Graphs' Xi’an Jiaotong-Liverpool University Research Enhancement Fund
  • Gresnigt, Niels G. 2019, Principal Investigator. 'Quantum Cosmology from the Superposition of Graphs' Natural Science Foundation of the Jiangsu Higher Education Institutions of China Programme
  • Gresnigt, Niels G. 2015, Principal Investigator. 'An Emergent Topological Model of Particle Physics and its Implications to Non-Commutativity in Quantum Spacetime'. National Natural Science Foundation of China (NSFC) Young-scholar Programme
  • Gresnigt, Niels G. 2015, Principal Investigator. 'An Emergent Topological Model of Particle Physics'. Research Development Fund (RDF)


  • 2020-current. SSLC-PGR
  • 2020-current. School of Science Global Engagement Officer
  • 2020-current. Department Representative for the Postgraduate Research Scholarship application review panel
  • 2019-2020. Research Administration System Focus Group Member
  • 2019-current. Department University Recruitment Representative
  • 2019-2020. Department Representative to the University Research Committee
  • 2018-current. Postgraduate Research Skills Development Programme Presenter
  • 2016-2019. Summer Undergraduate Research Fellowship Poster Day Judge
  • 2016. Department Representative to the International Undergraduate Entry Scholarship Panel
  • 2014-2018. International Liaison Officer for Department of Mathematical Sciences


  • PHY002 Physics
  • MTH123 Differential Equations for Engineers


  • PHY002 Introductory Physics
  • MTH004 Multivariable Calculus
  • MTH021/023 Introductory Calculus
  • MTH123 Differential Equations for Engineers
  • MTH207 Vector Calculus and Fluid Dynamics
Niels Gresnigt