Doran obtained his Ph.D. in 1994 on the topic of Geometric Algebra and its Application to Mathematical Physics. He was an EPSRC Advanced Fellow from 1999 to 2004. In 2004, he became Enterprise Fellow of the Royal Society of Edinburgh.
Doran has been credited, together with Anthony N. Lasenby, Joan Lasenby and Steve Gull, for raising the interest of the physics community to the mathematical language and methods of geometric algebra and geometric calculus. These have been rediscovered and refined by David Hestenes, who built on the fundamental work of William Kingdon Clifford and Hermann Grassmann. In 1998, together with Lasenby and Gull, he proposed the gauge theory gravity.
He took a break from academics in 2005, and he subsequently founded the software company Geomerics, making use of his knowledge of mathematics. His research interests relate to applied mathematics and theoretical physics, in particular quantum theory, gravitation, geometric algebra and computational geometry.
Doran has authored more than 50 scientific papers.
- Chris J. L. Doran, Anthony N. Lasenby: Geometric Algebra for Physicists, Cambridge University Press, 2003, ISBN 0-521-48022-1
- Leo Dorst, Chris J. L. Doran, Joan Lasenby: Applications of geometric algebra in computer science and engineering, Birkhäuser, 2002, ISBN 0-8176-4267-6
- Chris J. L. Doran: Geometric Algebra and its Application to Mathematical Physics[permanent dead link], Sidney Sussex College, Dissertation submitted for the degree of Doctor of Philosophy in the University of Cambridge, February 1994
- Selected articles and book chapters
- C. J. L. Doran, A. N. Lasenby, S. F. Gull, S. Somaroo, A. D. Challinor: Spacetime algebra and electron physics, Measurement, vol. 5, 2005, arXiv: quant-ph/0509178, abstract
- Timothy F. Havel, Chris J. L. Doran: Geometric algebra in quantum information processing, American Mathematical Society, 2002
- Timothy F. Havel, Chris J. L. Doran: Geometric algebra in quantum information processing. In: Samuel J. Lomonaco, Jr., and Howard E. Brandt (eds.): Quantum Computation and Information, Contemporary Mathematics, American Mathematical Society, AMS Special Session Quantum Computation and Information, January 19–21, 2000, pp. 81–100, abstract
- John Vince: Geometric Algebra: An Algebraic System for Computer Games and Animation, Springer, 2009, ISBN 978-1-84882-379-2, p. 3
- Val L. Fitch, Daniel R. Marlow, Margit Ann Elisabeth Dementi: Critical problems in physics: proceedings of a conference celebrating the 250th anniversary of Princeton university, Princeton University Press, 1997, ISBN 0-691-05785-0, p. 165
- J. Lasenby, A.N. Lasenby, C.J.L. Doran: A unified mathematical language for physics and engineering in the 21st century, Phil. Trans. R. Soc. Lond. A 358, 21-39 (2000) (abstract, full text)
- Lasenby, Anthony.; Chris Doran; Stephen Gull (1998), "Gravity, gauge theories and geometric algebra", Philosophical Transactions of the Royal Society A, 356: 487–582, arXiv:gr-qc/0405033, Bibcode:1998RSPTA.356..487L, doi:10.1098/rsta.1998.0178
- "Dr Christopher JL Donan". Sidney Sussex College. Retrieved 2015-12-07.
- Christopher J. L. Doran, Sidney Sussex College, Cambridge University
- Publications by CJL Doran, University of Cambridge
- Publications by Chris Doran, ResearchGate
- Chris Doran: The artists of the next generation, 30. August 2011, Develop
- Chris Doran, Ivan Pederson: Artistic possibilities with real-time lighting, 30. January 2011, Geomerics