Dan Christensen's papers and preprints

Reviews of many of these papers have appeared at MathSciNet. All of my papers are available from my author page at the arxiv. My list of publications is also in my curriculum vita.

Comments and feedback welcome.

  1. The sub-leading asymptotic behaviour of area correlations in the Barrett-Crane model, joint with Igor Khavkine, Etera Livine and Simone Speziale. Class. Quantum Grav. 27 (2010) 035012, 19 pages. doi:10.1088/0264-9381/27/3/035012, arXiv:0908.4476 [gr-qc].

  2. A Dual Non-abelian Yang-Mills Amplitude in Four Dimensions, joint with Wade Cherrington. Nuclear Physics B 813(3) (2009) 370-382. doi:10.1016/j.nuclphysb.2008.12.016, arXiv:0808.3624.

  3. Complex cobordism in homotopy theory: its impact and prospects (Baltimore 2007), J. Michael Boardman, J. Daniel Christensen, Donald M. Davis, Haynes R. Miller and Jack Morava, eds. Homology, Homotopy and Applications 10(3) (2008), 368+xix pp. International Press, Somerville, MA.

    Conference home page.

  4. Freyd's generating hypothesis for groups with periodic cohomology, joint with Sunil Chebolu and Ján Mináč. To appear in Canadian Mathematical Bulletin, 11 pages. arXiv:0710.3356.

  5. Numerical evidence of regularized correlations in spin foam gravity, joint with Etera Livine and Simone Speziale. Physics Letters B 670(4-5) (2009), 403-406. doi:10.1016/j.physletb.2008.09.065, arXiv:0710.0617 [gr-qc]. Some plots are available here.

  6. Eigentheory of Cayley-Dickson algebras, joint with Daniel Biss, Dan Dugger and Daniel Isaksen. Forum Mathematicum 21(5) (2009), 833-851. doi:10.1515/FORUM.2009.041, arXiv:0905.2987 [math.RA].

  7. Ghosts in modular representation theory, joint with Sunil Chebolu and Ján Mináč. Advances in Mathematics 217(6) (2008), 2782-2799. doi:10.1016/j.aim.2007.11.008, math.RT/0609699.

  8. Dual computations of non-abelian Yang-Mills on the lattice, joint with Wade Cherrington and Igor Khavkine. Physics Review D 76 094503 (2007), 17 pages. arXiv:0705.2629 [hep-lat], direct from PRD, doi:10.1103/PhysRevD.76.094503.

  9. Large annihilators in Cayley-Dickson algebras II, joint with Daniel K. Biss, Daniel Dugger and Daniel C. Isaksen. Boletin de la Sociedad Matematica Mexicana (3) 13(2) (2007), 269-292. math.RA/0702075.

  10. q-deformed spin foam models of quantum gravity, joint with Igor Khavkine. Classical and Quantum Gravity 24 (2007), 3271-3290. arXiv:0704.0278 [gr-qc] or direct from CQG.

  11. Interactions between homotopy theory and algebra (Chicago 2004), Luchezar L. Avramov, J. Daniel Christensen, William G. Dwyer, Michael A. Mandell and Brooke E. Shipley, eds. Contemporary Math. 436 (2007), 334pp. Amer. Math. Soc., Providence, RI.

    Conference home page with links to preprints and notes based on the talks.

  12. The generating hypothesis for the stable module category of a p-group, joint with Dave Benson, Sunil Chebolu and Ján Mináč. J. Algebra 310(1) (2007), 428-433. 10.1016/j.jalgebra.2006.12.013, math.RT/0611403.

  13. Groups which do not admit ghosts, joint with Sunil Chebolu and Ján Mináč. Proceedings of the AMS 136 (2008), 1171-1179. Direct from the AMS, math.RT/0610423, 10.1090/S0002-9939-07-09058-2,

  14. Finiteness of Lorentzian 10j symbols and partitions functions. Classical and Quantum Gravity 23 (2006), 1679-1687. gr-qc/0512004 or direct from CQG.

  15. Positivity in Lorentzian Barrett-Crane Models of Quantum Gravity, joint with Wade Cherrington. Classical and Quantum Gravity 23 (2006), 721-736. gr-qc/0509080 or direct from CQG.

  16. Causal sites as quantum geometry, joint with Louis Crane. J. Math. Physics 46 (2005), 122502, 17 pages. gr-qc/0410104.

  17. Duality and pro-spectra, joint with Dan Isaksen. Algebraic & Geometric Topology 4 (2004), 781-812. Direct from AGT, doi:10.2140/agt.2004.4.781, math.AT/0403451.

  18. Obstruction theory in model categories, joint with Bill Dwyer and Dan Isaksen. Advances in Mathematics 181 (2004), 396-416. math.AT/0109170, pdf, postscript, dvi. Published version via ScienceDirect, doi:10.1016/S0001-8708(03)00070-7.

  19. Asymptotics of 10j symbols, joint with John Baez and Greg Egan. Classical and Quantum Gravity 19 (2002), 6489-6513. gr-qc/0208010, pdf, postscript, dvi file and postscript figures.

  20. Spin foam models of Riemannian quantum gravity, joint with John Baez, Tom Halford and David Tsang. Classical and Quantum Gravity 19 (2002), 4627-4648. gr-qc/0202017, pdf, postscript, dvi.

  21. Positivity of spin foam amplitudes, joint with John Baez. Classical and Quantum Gravity 19 (2002), 2291-2305. gr-qc/0110044, pdf, postscript, dvi.

  22. An efficient algorithm for the Riemannian 10j symbols, joint with Greg Egan. Classical and Quantum Gravity 19 (2002), 1184-1193. gr-qc/0110045, pdf, postscript, dvi file and eps figures.

  23. Quillen model structures for relative homological algebra, joint with Mark Hovey. Math. Proc. Cambridge Philos. Soc. 133 Part 2 (2002), 261-293. math.KT/0011216, pdf, postscript, dvi.

  24. Failure of Brown representability in derived categories, joint with Bernhard Keller and Amnon Neeman. Topology 40 (2001), 1339-1361. math.AT/0001056, pdf, postscript, dvi.

  25. Phantom maps and chromatic phantom maps, joint with Mark Hovey. American Journal of Mathematics 122 (2000), 275-293. math.AT/9811027, pdf, postscript, dvi.

  26. Ideals in triangulated categories: phantoms, ghosts and skeleta. Advances in Mathematics 136 (1998), 284-339. My thesis. math.AT/9807071, pdf, postscript.

  27. Phantom Maps and Homology Theories, joint with Neil Strickland. Topology 37 (1998), 339-364. math.AT/9802008, pdf, postscript, dvi.

  28. David Gale's subset take-away game, joint with Mark Tilford. American Mathematical Monthly 104 (1997), 762-766. math.CO/0207185, pdf, postscript. Subset take-away is the topic of Ian Stewart's Scientific American Mathematical Recreations column from March 2000. A longer version of the SciAm column is Triangulation Takeaway, which summarises the results of my paper with Tilford.

  29. The causal structure of two-dimensional spacetimes, joint with Robert B. Mann. Classical and Quantum Gravity 9 (1992), 1769-1786. hep-th/9203050, pdf, postscript, dvi. The figures are only available separately.
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