
ADDRESS: Furocho, Chikusaku, Nagoya, Japan / POSTAL CODE: 464-8602

People Affiliated Faculty

Update: 2025/12/13

People

Affiliated Faculty

Bourne, Chris	Richard, Serge

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)

E-MAIL

cbourne (at) ilas.nagoya-u.ac.jp

WEBSITE

https://sites.google.com/site/khomologyzone/home

PROFILE

bourne_chris_en.pdf [PDF/74KB]

RESEARCH

operator algebras
noncommutative geometry
mathematical physics

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.

Serge Richard Professor (Institute of Liberal Arts and Sciences)

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

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.