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Update: 2024/09/19
  
People
Affiliated Faculty
| Chris Bourne Associate Professor (Institute of Liberal Arts and Sciences) |
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OFFICE |
Rm 419 in Humanities Common Facility Bldg. |
| PHONE |
+81 (0)52-789-5181 (ext. 5181) |
| E-MAIL |
cbourne (at) ilas.nagoya-u.ac.jp |
| WEBSITE |
![[Other Site]](/en/img/othersite_x2.jpg) https://sites.google.com/site/khomologyzone/home |
| RESEARCH |
- operator algebras
- noncommutative geometry
- mathematical physics
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| PAPERS |
| [1] | C. Bourne, A. L. Carey, M. Lesch and A. Rennie. The KO-valued spectral flow for skew-adjoint Fredholm operators. J. Topol. Anal. 14 (2022), no. 2, 5050-556. |
| [2] | C. Bourne and Y. Ogata. The classification of symmetry protected topological phases of one-dimensional fermion systems. Forum Math. Sigma 9 (2021), no. e25, 45 pages. |
| [3] | C. Bourne and B. Mesland. Index theory and topological phases of aperiodic lattices. Ann. Henri Poincaré 20 (2019), no. 6, 1969–2038. |
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| Serge Richard Professor (Institute of Liberal Arts and Sciences) |
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OFFICE |
Rm 247 in Sci. Bldg. A |
| PHONE |
+81 (0)52-789-5572 (ext. 5572) |
| E-MAIL |
richard (at) math.nagoya-u.ac.jp |
| WEBSITE |
https://www.math.nagoya-u.ac.jp/~richard/ |
| RESEARCH |
- functional analysis
- spectral and scattering theory
- index theorems in scattering theory
- Mourre theory
- magnetic systems
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| PAPERS |
| [1] | S. Richard. Levinson’s theorem: an index theorem in scattering theory. in Proceedings of the Conference Spectral Theory and Mathematical Physics, Santiago 2014, Operator Theory Advances and Applications 254, Birkhäuser, 2016, pp.149–203. |
| [2] | D. Parra, S. Richard. Continuity of the spectral for families of magnetic operators on $\mathbf{Z}^{d}$. Anal. Math. Phys. 6 (2016), 327–343. |
| [3] | S. Richard, R. Tiedra de Aldecoa. Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides. Bull. Soc. Math. France 144 (2016), no. 2, 251–277. |
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