Temas de Investigación : Mathematical physicist, specialized in quantum gravity and n-categories.
Selección de Publicaciones : Books
An Introduction to Algebraic and Constructive Quantum Field Theory, with Irving Segal and Zhengfang Zhou, Princeton University Press, 1992. (Out of print)
Knots and Quantum Gravity, editor, Oxford University Press, 1994. (Out of print)
Gauge Fields, Knots, and Gravity, with Javier Muniain, World Scientific Press, 1994.
Papers
An introduction to spin foam models of BF theory and quantum gravity, in Geometry and Quantum Physics, eds. Helmut Gausterer and Harald Grosse, Springer, Berlin, 2000, pp. 25-93.
From finite sets to Feynman diagrams, with James Dolan, in Mathematics Unlimited - 2001 and Beyond, vol. 1, eds. Bjorn Engquist and Wilfried Schmid, Springer, Berlin, 2001, pp. 29-50.
Higher-dimensional algebra and Planck-scale physics, in Physics Meets Philosophy at the Planck Length, eds. Craig Callender and Nick Huggett, Cambridge U. Press, Cambridge, 2001, pp. 177-195.
Quantum geometry of isolated horizons and black hole entropy, with Abhay Ashtekar and Kirill Krasnov, Adv. Theor. Math. Phys. 4 (2001), 1-94.
Integrability for relativistic spin networks, with John Barrett, Class. Quantum Grav. 18 (2001), 4683-4700.
The octonions, Bull. Amer. Math. Soc. 39 (2002), 145-205.
Positivity of spin foam amplitudes, with J. Daniel Christensen, Class. Quantum Grav. 19 (2002), 2291-2306.
Spin foam models of Riemannian quantum gravity, with J. Daniel Christensen, Thomas R. Halford and David C. Tsang, Class. Quantum Grav. 19 (2002), 4627-4648.
Uncertainty in measurements of distance, with S. Jay Olson, Class. Quantum Grav. 19 (2002), L121-L125.
Asymptotics of 10j symbols, with J. Daniel Christensen and Greg Egan, Class. Quantum Grav. 19 (2002), 6489-6513.
Spin foam perturbation theory, in Diagrammatic Morphisms and Applications, eds. David Radford, Fernando Souza, and David Yetter, Contemp. Math. 318, American Mathematical Society, Providence, Rhode Island, 2003, pp. 9-21.
The quantum of area?, Nature 421 (2003), 702-703.
Higher-dimensional algebra IV: 2-Tangles, with Laurel Langford, to appear in Adv. Math..
The meaning of Einstein's equation, to be published.
Higher Yang-Mills theory, to be published.
Higher-dimensional algebra V: 2-groups, with Aaron D. Lauda, to be published.
Higher-dimensional algebra VI: Lie 2-algebras, with Alissa S. Crans, to be published.