Christopher Jack Bourne Ph.D.
| Job | Assistant Professor Visiting Scientist, RIKEN iTHEMS |
|---|---|
| Group | Mathematical Science Group |
| Laboratory | H. Suito Laboratory  |
| Address | Room 303, AIMR Main Building, Katahira Campus (2-1-1, Katahira, Aoba-ku ,Sendai 980-8577) |
| Tel | +81-22-217-6176 |
| chris.bourne@tohoku.ac.jp | |
| Related Site |
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 (open access), arXiv.
- 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, arXiv.
- 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, arXiv.
- 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, arXiv.
- 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, arXiv.
Awards
- Journal of Physics A (Mathematical and Theoretical), Best Paper Prize 2020.
Related Information
- 09/24/2020 Seminars & Symposium [9/29-30] The Second Tohoku University - RIKEN Joint Workshop: "Math Meets Quantum Materials"
- 08/19/2020 Media & Award Dr. Bourne and Dr. Dechant received the Journal of Physics A Best Paper Prize 2020