Christopher Jack Bourne Ph.D.

Job Assistant Professor
Visiting Scientist, RIKEN iTHEMS
Group Mathematical Science Group
Laboratory H. Suito Laboratory  (will open in a new tab)
Address Room 303, AIMR Main Building, Katahira Campus
(2-1-1, Katahira, Aoba-ku ,Sendai 980-8577)
Tel +81-22-217-6176
E-Mail chris.bourne@tohoku.ac.jp
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Research Interests

  • Mathematical aspects of topological phases of matter
  • Mathematical physics
  • Operator algebras, index theory and noncommutative geometry

Main Publication List

  • C. Bourne and Y. Ogata. The classification of symmetry protected topological phases of one-dimensional fermion systems. Forum Math. Sigma, 9, Paper No. e25 (45 pages), 2021. DOI (will open in a new tab) (open access), arXiv (will open in a new tab).
  • C. Bourne, A. L. Carey, M. Lesch and A. Rennie. The KO-valued spectral flow for skew-adjoint Fredholm operators. J. Topol. Anal., online first, 2020. DOI (will open in a new tab), arXiv (will open in a new tab).
  • C. Bourne and A. Rennie. Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases. Math. Phys. Anal. Geom., 21, no. 3, article 16 (62 pages), 2018. DOI (will open in a new tab), arXiv (will open in a new tab).
  • C. Bourne and E. Prodan. Non-commutative Chern numbers for generic aperiodic discrete systems. J. Phys. A, 51, no. 23, 235202 (38 pages), 2018. DOI (will open in a new tab), arXiv (will open in a new tab).
  • C. Bourne, J. Kellendonk and A. Rennie. The K-theoretic bulk-edge correspondence for topological insulators. Ann. Henri Poincaré, 18, no. 5, 1833-1866, 2017. DOI (will open in a new tab), arXiv (will open in a new tab).

Awards

  • Journal of Physics A (Mathematical and Theoretical), Best Paper Prize 2020.

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