Graduate School of Mathematics, Nagoya University
ADDRESS: Furocho, Chikusaku, Nagoya, Japan / POSTAL CODE: 464-8602

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Update: 2024/05/24


Affiliated Faculty

Chris Bourne Associate Professor (Institute of Liberal Arts and Sciences)
OFFICE Rm 419 in Humanities Common Facility Bldg.
PHONE +81 (0)52-789-5181 (ext. 5181)
WEBSITE [Other Site]
  • operator algebras
  • noncommutative geometry
  • mathematical physics
[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.
Serge Richard Professor (Institute of Liberal Arts and Sciences)
OFFICE Rm 247 in Sci. Bldg. A
PHONE +81 (0)52-789-5572 (ext. 5572)
  • functional analysis
  • spectral and scattering theory
  • index theorems in scattering theory
  • Mourre theory
  • magnetic systems
[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.