Books and Papers

John Baez

Here are my books and published papers in chronological order. You can get a lot of these electronically by just clicking on them; whenever possible this will take you to the arXiv. This will also tell you their arXiv number, if that's what you're seeking.

You can also see my vita in PDF or Postscript.

Books

  1. An Introduction to Algebraic and Constructive Quantum Field Theory, with Irving Segal and Zhengfang Zhou, Princeton University Press, 1992. (Out of print. Photocopy available in PDF and DjVu.)

  2. Knots and Quantum Gravity, editor, Oxford University Press, 1994. (Out of print. Text without pictures available in Postscript.)

  3. Gauge Fields, Knots, and Gravity, with Javier Muniain, World Scientific Press, 1994. (Out of print now, but a second edition is coming soon, in which the known errors should be fixed.)

Papers

  1. Recursivity in quantum mechanics, Trans. Amer. Math. Soc. 280 (1983), 339-350.

  2. Conformally invariant quantum fields, doctoral dissertation, advisor Irving Segal, Massachusetts Institute of Technology, May 1986.

  3. Bell's inequality for C*-algebras, Lett. Math. Phys. 13 (1987), 135-136.

  4. Is life improbable?, Found. Phys. 19 (1989), 91-95.

  5. The global Goursat problem on R × S1, with Zhengfang Zhou, Jour. Funct. Analysis 83 (1989), 364-382.

  6. Scattering and the geometry of the solution manifold of □ f + λ f3 = 0, Jour. Funct. Analysis 83 (1989), 317-332.

  7. Analyticity of scattering for the φ4 theory, with Zhengfang Zhou, Comm. Math. Phys. 124 (1989), 9-21.

  8. Scattering for the Yang-Mills equations, Trans. Amer. Math. Soc. 315 (1989), 823-832.

  9. Wick products of the free Bose field, Jour. Funct. Analysis 86 (1989), 211-225.

  10. Scattering and complete integrability in conformally invariant nonlinear theories, Jour. Math. Phys. 31 (1990), 757-762.

  11. The global Goursat problem and scattering for nonlinear wave equations, with Irving Segal and Zhengfang Zhou, Jour. Funct. Analysis 93 (1990), 239-269.

  12. Conserved quantities for the Yang-Mills equations, Adv. Math. 82 (1990), 126-131.

  13. Scattering and complete integrability in the massive φ4 theory, with Zhengfang Zhou, Jour. Funct. Analysis 94 (1990), 397-414.

  14. Topological lower bound on the energy of a twisted rod, with Rossen Dandoloff, Phys. Lett. A 155 (1991), 145-147.

  15. The vacuum and lightcone quantization of interaction Hamiltonians, Lett. Math. Phys. 21 (1991), 117-121.

  16. Differential calculi on quantum vector spaces with Hecke-type relations, Lett. Math. Phys. 23 (1991), 133-141.

  17. Renormalized oscillator Hamiltonians, with Zhengfang Zhou, Adv. Math. 92 (1992), 106-127.

  18. On quantum fields satisfying a given wave equation, with Zhengfang Zhou, Jour. Funct. Analysis 106 (1992), 439-453.

  19. On the Hopf term in a 2-dimensional sigma model for antiferromagnets, with Alan Bishop and Rossen Dandoloff, Mod. Phys. Lett. B 5 (1991), 2003-2005.

  20. R-commutative geometry and quantization of Poisson algebras, Adv. Math. 95 (1992), 61-91.

  21. Scattering and complete integrability in four dimensions, in Mathematical Aspects of Classical Field Theory, eds. Mark Gotay, Jerrold Marsden and Vincent Moncrief, Contemp. Math. 132, American Mathematical Society, Providence, Rhode Island, 1992, pp. 99-116.

  22. Link invariants of finite type and perturbation theory, Lett. Math. Phys. 26 (1992), 43-51.

  23. Quantum gravity and the algebra of tangles, Class. Quantum Grav. 10 (1993), 673-694.

  24. An algebraic approach to discrete mechanics, with James Gilliam, Lett. Math. Phys. 31 (1994), 205-212.

  25. Generalized measures in gauge theory, Lett. Math. Phys. 31 (1994), 213-223.

  26. Diffeomorphism-invariant generalized measures on the space of connections modulo gauge transformations, Proceedings of the Conference on Quantum Topology, ed. David N. Yetter, World Scientific Press, Singapore, 1994, pp. 21-43.

  27. Strings, loops, knots and gauge fields, in Knots and Quantum Gravity, ed. J. Baez, Oxford U. Press, Oxford, 1994, pp. 133-168.

  28. Hochschild homology in a braided tensor category, Trans. Amer. Math. Soc. 344 (1994), 885-906.

  29. Strings and two-dimensional QCD for finite N, with Washington Taylor IV, Nucl. Phys. B 426 (1994), 53-70.

  30. Link invariants, holonomy algebras and functional integration, Jour. Funct. Analysis 127 (1995), 108-131.

  31. Topological aspects of spin and statistics of solitons in nonlinear sigma-models, with Michael Ody and William Richter, Jour. Math. Phys. 36 (1995), 108-131.

  32. Higher-dimensional algebra and topological quantum field theory, with James Dolan, Jour. Math. Phys. 36 (1995), 6073-6105.

  33. Quantum gravity hamiltonian for manifolds with boundary, with Javier P. Muniain and Dardo Piriz, Phys. Rev. D 52 (1995), 6840-6845.

  34. Spin network states in gauge theory, Adv. Math. 117 (1996), 253-272.

  35. Spin networks in nonperturbative quantum gravity, in The Interface of Knots and Physics, ed. Louis Kauffman, American Mathematical Society, Providence, Rhode Island, 1996, pp. 167-203.

  36. Four-dimensional BF theory as a topological quantum field theory, Lett. Math. Phys. 38 (1996), 129-143.

  37. Knots and quantum gravity: progress and prospects, in Proceedings of the Seventh Marcel Grossman Meeting on General Relativity, ed. Robert T. Jantzen and G. Mac Keiser, World Scientific Press, 1996, pp. 779-797.

  38. Higher-dimensional algebra I: braided monoidal 2-categories, with Martin Neuchl, Adv. Math. 121 (1996), 196-244.

  39. An introduction to n-categories, in 7th Conference on Category Theory and Computer Science, eds. E. Moggi and G. Rosolini, Springer Lecture Notes in Computer Science vol. 1290, Springer, Berlin, 1997.

  40. Higher-dimensional algebra II: 2-Hilbert spaces, Adv. Math. 127 (1997), 125-189.

  41. Functional integration on the space of connections, with Stephen Sawin, Jour. Funct. Analysis 150 (1997), 1-27.

  42. 2-Tangles, with Laurel Langford, Lett. Math. Phys. 43 (1998), 187-197.

  43. Quantum geometry and black hole entropy, with Abhay Ashtekar, Alejandro Corichi and Kirill Krasnov, Phys. Rev. Lett. 80 (1998), 904-907.

  44. Higher-dimensional algebra III: n-categories and the algebra of opetopes, with James Dolan, Adv. Math. 135 (1998), 145-206.

  45. Spin foam models, Class. Quantum Grav. 15 (1998), 1827-1858.

  46. Degenerate solutions of general relativity from topological field theory, Commun. Math. Phys. 193 (1998), 219-231.

  47. Diffeomorphism-invariant spin network states, with Stephen Sawin, Jour. Funct. Analysis 158 (1998), 253-266.

  48. Quantization of diffeomorphism-invariant theories with fermions, with Kirill Krasnov, Jour. Math. Phys. 39 (1998), 1251-1271.

  49. Categorification, with James Dolan, in Higher Category Theory, eds. Ezra Getzler and Mikhail Kapranov, Contemp. Math. 230, American Mathematical Society, Providence, Rhode Island, 1998, pp. 1-36.

  50. The quantum tetrahedron in 3 and 4 dimensions, with John Barrett, Adv. Theor. Math. Phys. 3 (1999), 815-850.

  51. 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.

  52. From finite sets to Feynman diagrams, with James Dolan, in Mathematics Unlimited - 2001 and Beyond, vol. 1, eds. Björn Engquist and Wilfried Schmid, Springer, Berlin, 2001, pp. 29-50.

  53. 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.

    Also available as a webpage.

  54. Quantum geometry of isolated horizons and black hole entropy, with Abhay Ashtekar and Kirill Krasnov, Adv. Theor. Math. Phys. 4 (2001), 1-94.

  55. Integrability for relativistic spin networks, with John Barrett, Class. Quantum Grav. 18 (2001), 4683-4700.

  56. The octonions, Bull. Amer. Math. Soc. 39 (2002), 145-205. Errata in Bull Amer. Math. Soc. 42 (2005), 213.

    Also available as a webpage.

  57. Positivity of spin foam amplitudes, with J. Daniel Christensen, Class. Quantum Grav. 19 (2002), 2291-2306.

  58. 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.

  59. Uncertainty in measurements of distance, with S. Jay Olson, Class. Quantum Grav. 19 (2002), L121-L125.

  60. Asymptotics of 10j symbols, with J. Daniel Christensen and Greg Egan, Class. Quantum Grav. 19 (2002), 6489-6513.

  61. 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.

  62. The quantum of area?, Nature 421 (2003), 702-703.

  63. Higher-dimensional algebra IV: 2-tangles, with Laurel Langford, Adv. Math. 180 (2003), 705-764.

  64. Higher-dimensional algebra V: 2-groups, with Aaron D. Lauda, Theory and Applications of Categories 12 (2004), 423-491.

  65. Higher-dimensional algebra VI: Lie 2-algebras, with Alissa S. Crans, Theory and Applications of Categories 12 (2004), 492-528.

  66. On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry, by John H. Conway and Derek A. Smith, review in Bull. Amer. Math. Soc. 42 (2005), 229-243.

  67. The meaning of Einstein's equation, with Emory F. Bunn, Amer. Jour. Phys. 73 (2005), 644-652.

    Also available as a webpage.

  68. Quantum quandaries: a category-theoretic perspective, in Structural Foundations of Quantum Gravity, eds. Steven French, Dean Rickles and Juha Saatsi, Oxford U. Press, Oxford, 2006, pp. 240-265.

    Also available as a webpage.

  69. Higher gauge theory, with Urs Schreiber, in Categories in Algebra, Geometry and Mathematical Physics, eds. Alexei Davydov, Michael Batanin, Michael Johnson, Stephen Lack and Amnon Neeman, Contemp. Math. 431, American Mathematical Society, Providence, Rhode Island, 2007, pp. 7-30.

  70. From loop groups to 2-groups, with Alissa S. Crans, Danny Stevenson and Urs Schreiber, Homotopy, Homology and Applications, 9 (2007), 101-135.

  71. Quantization of strings and branes coupled to BF theory, with Alejandro Perez, Adv. Theor. Math. Phys. 11 (2007), 1-19.

  72. Exotic statistics for strings in 4d BF theory with Alissa S. Crans and Derek Wise, Adv. Theor. Math. Phys. 11 (2007), 707-749.

  73. Lectures on n-categories and cohomology, with Michael Shulman, to appear in n-Categories: Foundations and Applications, eds. John Baez and Peter May.

  74. The classifying space of a topological 2-group, with Danny Stevenson, to appear in the proceedings of the 2007 Abel Symposium, eds. Nils Baas et al.

  75. Physics, topology, logic and computation: a Rosetta Stone, with Mike Stay, draft version, to appear in New Structures in Physics, ed. Bob Coecke.

  76. A history of n-categorical physics, with Aaron Lauda, to appear in proceedings of Deep Beauty: Mathematical Innovation and the Search for an Underlying Intelligibility of the Quantum World, ed. Hans Halvorson.

  77. Higher gauge theory II: 2-connections, with Urs Schreiber, draft version.

  78. Convenient categories of smooth spaces, with Alex Hoffnung.

  79. Categorified symplectic geometry and the classical string, with Alex Hoffnung and Chris Rogers.

  80. Representations of 2-groups on higher Hilbert spaces, with Aristide Baratin, Laurent Freidel and Derek Wise, draft version.

Of making books there is no end, and much study is a weariness of the flesh... - Ecclesiastes 12:12

© 2006 John Baez
baez@math.removethis.ucr.andthis.edu

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