Chris Isham (changes) in nLab

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Chris J. Isham is an Emeritus Professor and Senior Research Investigator at Imperial College, London.

• website institute page

• biography Wikipedia entry (brief)

• Section 3 of: Chris Isham: mentor, colleague, friend, by Michael Duff : (arXiv:2112.13722Chris Isham: mentor, colleague, friend ) [[arXiv:2112.13722](https://arxiv.org/abs/2112.13722),inspire:1997285]

Selected writings

Early discussion of scalar quantum field theory on anti de Sitter spacetimes:

• S. J. Avis, Chris J. Isham, D. Storey: Quantum field theory in anti-de Sitter space-time, Phys. Rev. D 18 3565 (1978) [[doi:10.1103/PhysRevD.18.3565](https://doi.org/10.1103/PhysRevD.18.3565)]

On supersymmetry and G-structure (notably Spin(7)-structure in M-theory on 8-manifolds):

• Chris Isham, Christopher Pope, Nowhere Vanishing Spinors and Topological Obstructions to the Equivalence of the NSR and GS Superstrings, Class. Quant. Grav. 5 (1988) 257 (spire:251240, doi:10.1088/0264-9381/5/2/006)

• Chris Isham, Christopher Pope, Nicholas Warner, Nowhere-vanishing spinors and triality rotations in 8-manifolds, Classical and Quantum Gravity, Volume 5, Number 10, 1988 (cds:185144, doi:10.1088/0264-9381/5/10/009)

On quantum mechanics:

• Chris Isham, Lectures on Quantum Theory – Mathematical and Structural Foundations, World Scientific (1995) [[doi:10.1142/p001](https://doi.org/10.1142/p001), ark:/13960/t4xh7cs99]

Proposal that the Kochen-Specker theorem suggests to understand quantum physics via the internal logic of (what later would be called) a Bohr topos:

• Jeremy Butterfield, John Hamilton, Chris Isham, A topos perspective on the Kochen-Specker theorem, I. quantum states as generalized valuations, Internat. J. Theoret. Phys. 37 11 (1998) 2669-2733 [[MR2000c:81027](http://www.ams.org/mathscinet-getitem?mr=1669557), doi:10.1023/A:1026680806775]

  II. conceptual aspects and classical analogues Int. J. of Theor. Phys. 38 3 (1999) 827-859 [[MR2000f:81012](http://www.ams.org/mathscinet-getitem?mr=1697983), doi:10.1023/A:1026652817988]

  III. Von Neumann algebras as the base category, Int. J. of Theor. Phys. 39 6 (2000) 1413-1436 [[arXiv:quant-ph/9911020](http://arxiv.org/abs/quant-ph/9911020), MR2001k:81016,doi:10.1023/A:1003667607842]

  IV. Interval valuations, Internat. J. Theoret. Phys. 41 4 (2002) 613-639 [[MR2003g:81009](http://www.ams.org/mathscinet-getitem?mr=1902067), doi]

with some review and outlook in

• Chris Isham, Jeremy Butterfield, Some Possible Roles for Topos Theory in Quantum Theory and Quantum Gravity, Found. Phys. 30 (2000) 1707-1735 [[arXiv:gr-qc/9910005](https://arxiv.org/abs/gr-qc/9910005), doi:10.1023/A:1026406502316]

and then

• Andreas Döring, Chris Isham, A Topos Foundation for Theories of Physics

  I. Formal Languages for Physics, J. Math. Phys. 49 (2008) 053515 [[arXiv:quant-ph/0703060](http://arxiv.org/abs/quant-ph/0703060), doi:10.1063/1.2883740]

  II. Daseinisation and the Liberation of Quantum Theory, J. Math. Phys. 49 (2008) 053516 [[arXiv:quant-ph/0703062](http://arxiv.org/abs/quant-ph/0703062), doi:10.1063/1.2883742]

  III. The Representation of Physical Quantities With Arrows, J. Math. Phys. 49 (2008) 053517 [[arXiv:quant-ph/0703064](https://arxiv.org/abs/quant-ph/0703064), doi:10.1063/1.2883777]

  IV. Categories of Systems, J. Math. Phys. 49 (2008) 053518 [[arXiv:quant-ph/0703066](http://arxiv.org/abs/quant-ph/0703066), doi:10.1063/1.2883826]

On differential geometry in mathematical physics:

• Modern Differential Geometry for Physicists

• Kochen-Specker theorem

• Bohr topos

• Timeline of category theory and related mathematics