Organization
Institute of Liberal Arts and Sciences Education Planning & Development Center Professor
Graduate School
Graduate School of Mathematics
Title
Professor
Contact information
External link
RICHARD Serge Charles
Degree 2
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Ph. D. (physics) （ 2004.6 University of Geneva ）
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M. S. (physics) （ 1999.3 University of Lausanne ）
Research Interests 7
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Spectral and scattering theory
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Index theorems
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Mourre theory
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Functional analysis
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Noncommutative geometry
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Data assimilation
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Operator theory
Research Areas 4
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Natural Science / Basic mathematics / Functional analysis
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Natural Science / Basic mathematics / Scattering theory
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Natural Science / Basic mathematics / Noncommutative geometry
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Natural Science / Applied mathematics and statistics / Data assimilation
Research History 6
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Nagoya University Professor
2022.10
Country：Japan
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Nagoya University Designated professor
2016.10 - 2022.9
Country：Japan
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Nagoya University Designated associate professor
2013.10 - 2016.9
Country：Japan
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Univeristy of Tsukuba Visiting scholar
2010.8 - 2012.7
Country：Japan
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University of Cambridge Visiting scholar
2008.9 - 2010.7
Country：United Kingdom
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University of Lyon Associate professor
2006.11 - 2023.3
Country：France
Education 3
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University of Geneva
1999.5 - 2004.6
Country： Switzerland
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University of Lausanne
1998.8 - 1999.3
Country： Switzerland
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University of Lausanne
1994.8 - 1998.7
Country： Switzerland
Professional Memberships 3
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American mathematical society
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Société mathématique de France
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International Association of Mathematical Physics
Awards 1
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Excellent Teacher Award
2019.4 Nagoya University
Papers 28
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Topological crystals: Independence of spectral properties with respect to reference systems Reviewed
K. Kato, S. Richard
Symmetry Vol. 16 ( 1073 ) page： 1 - 15 2024.8
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Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological ! Reviewed International coauthorship
A. Alexander, D.T. Nguyen, A. Rennie, S. Richard
Journal of Spectral Theory Vol. 14 ( 3 ) page： 991 - 1031 2024
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Scattering theory and an index theorem on the radial part of SL(2,R) Reviewed
H. Inoue, S. Richard
Journal of Topology and Analysis Vol. In press 2024
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Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrix Reviewed International coauthorship
V. Austen, D. Parra, A. Rennie, S. Richard
Reviews in Mathematical Physics Vol. In Press 2024
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Control Simulation Experiments of Extreme Events with the Lorenz-96 Model Reviewed
Sun Q., Miyoshi T., Richard S.
Nonlinear Processes Geophyics Vol. 30 page： 117 - 128 2023.6
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Decay estimates for unitary representations with applications to continuous- and discrete-time models Reviewed International coauthorship
Richard S., Tiedra de Aldecoa R.
Ann. Henri Poincaré Vol. 24 ( 1 ) page： 1 - 36 2023.1
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Analysis of COVID-19 in Japan with Extended SEIR model and ensemble Kalman filter Reviewed
Sun Q., Miyoshi T., Richard S.
Journal of Computational and Applied Mathematics Vol. 419 ( 114772 ) page： 1 - 18 2023
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Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators Reviewed International coauthorship
Nguyen S.H., Richard S., Tiedra de Aldecoa R.
MATHEMATISCHE NACHRICHTEN Vol. 295 page： 912 - 949 2022.4
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Analysis of COVID-19 spread in Tokyo through an agent-based model with data assimilation Reviewed
Sun C., Richard S., Miyoshi T., Tsuzu N.
Journal of clinical medicine Vol. 11 ( 2401 ) page： 1 - 17 2022.4
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Spectral and scattering theory for topological crystals perturbed by infinitely many new edges Reviewed
Richard S., Tsuzu N.
REVIEWS IN MATHEMATICAL PHYSICS Vol. 34 ( 04 ) page： 1 - 26 2022.1
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Spectral and scattering theory of one-dimensional coupled photonic crystals Reviewed International coauthorship
De Nittis G., Moscolari M., Richard S., Tiedra de Aldecoa R.
REVIEWS IN MATHEMATICAL PHYSICS Vol. 33 ( 08 ) 2021.9
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Scattering Operator and Wave Operators for 2D Schrodinger Operators with Threshold Obstructions Reviewed International coauthorship
Richard S., Tiedra de Aldecoa R., Zhang L.
COMPLEX ANALYSIS AND OPERATOR THEORY Vol. 15 ( 6 ) 2021.9
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Bibliometric analysis on mathematics Reviewed
Richard Serge, Sun Qiwen
ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS Vol. 14 ( 1 ) page： 90 - 116 2021.5
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Discrete Laplacian in a half-space with a periodic surface potential: an overview of analytical investigations Invited
S. Richard
RIMS Kokyuroku Vol. 2195 page： 18 - 26 2021
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On radial Schrodinger operators with a Coulomb potential: general boundary conditions Reviewed International coauthorship
Derezinski Jan, Faupin Jeremy, Nguyen Quang Nhat, Richard Serge
ADVANCES IN OPERATOR THEORY Vol. 5 ( 3 ) page： 1132 - 1192 2020.7
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On some integral operators appearing in scattering theory, and their resolutions Reviewed
S. Richard, T. Umeda
Spectral Theory and Mathematical Physics, Latin American Mathematics Series page： 243 - 256 2020
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Quantum walks with an anisotropic coin II: scattering theory Reviewed International coauthorship
Richard S., Suzuki A., Tiedra de Aldecoa R.
LETTERS IN MATHEMATICAL PHYSICS Vol. 109 ( 1 ) page： 61 - 88 2019.1
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Periodic Schroedinger operators on topological crystals: framework, analytically fibered operator, conjugate operator Invited
S. Richard
RIMS Kokyuroku Vol. 2123 page： 51 - 68 2019
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Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example Reviewed
Inoue Hideki, Richard Serge
JOURNAL OF NONCOMMUTATIVE GEOMETRY Vol. 13 ( 4 ) page： 1359 - 1380 2019
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TOPOLOGICAL LEVINSON'S THEOREM FOR INVERSE SQUARE POTENTIALS: COMPLEX, INFINITE, BUT NOT EXCEPTIONAL Reviewed
Inoue H., Richard S.
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Vol. 64 ( 2-3 ) page： 225 - 250 2019
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Commutator criteria for strong mixing II. More general and simpler Reviewed International coauthorship
S. Richard, R. Tiedra de Aldecoa
CUBO Vol. 21 page： 37 - 48 2019
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On Radial Schrodinger Operators with a Coulomb Potential Reviewed International coauthorship
Derezinski Jan, Richard Serge
ANNALES HENRI POINCARE Vol. 19 ( 9 ) page： 2869 - 2917 2018.9
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Spectral and scattering theory for Schrodinger operators on perturbed topological crystals Reviewed International coauthorship
Parra D., Richard S.
REVIEWS IN MATHEMATICAL PHYSICS Vol. 30 ( 4 ) 2018.5
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Quantum walks with an anisotropic coin I: spectral theory Reviewed International coauthorship
Richard S., Suzuki A., Tiedra de Aldecoa R.
LETTERS IN MATHEMATICAL PHYSICS Vol. 108 ( 2 ) page： 331 - 357 2018.2
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Does Levinson's theorem count complex eigenvalues? Reviewed International coauthorship
Nicoleau F., Parra D., Richard S.
JOURNAL OF MATHEMATICAL PHYSICS Vol. 58 ( 10 ) 2017.10
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On Schrodinger Operators with Inverse Square Potentials on the Half-Line Reviewed International coauthorship
Derezinski Jan, Richard Serge
ANNALES HENRI POINCARE Vol. 18 ( 3 ) page： 869 - 928 2017.3
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Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition Reviewed International coauthorship
Richard S., Tiedra de Aldecoa R.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS Vol. 446 ( 2 ) page： 1695 - 1722 2017.2
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Inner and outer continuity of the spectra for families of magnetic operators on Z^d Invited International coauthorship
S. Richard
RIMS Kokyuroku Vol. 2023 page： 69 - 76 2017
Presentations 19
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Topological Levinson's theorem in presence of embedded thresholds and discontinuities of the scattering matrix Invited International conference
Serge Richard
Workshop: Rigorous Statistical Mechanics and Related Topics 2024.11
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The topological nature of resonance(s) for 2D Schroedinger operators Invited International conference
Serge Richard
ASPECT’24 Asymptotic Analysis and Spectral Theory 2024.9.24
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Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological ! Invited International conference
Serge Richard
Operator algebra seminar, University of Jussieu Paris 2024.9.19
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Théorème de Levinson topologique en présence de seuils plongés et de discontinuités de la matrice de diffusion Invited International conference
Serge Richard
Analysis seminar, University of Angers 2024.9.17
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Théorème de Levinson topologique en présence de seuils plongés et de discontinuités de la matrice de diffusion Invited International conference
Serge Richard
Analysis seminar, University of Nantes 2024.9.16
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The topological nature of resonance(s) for 2D Schroedinger operators Invited International conference
Serge Richard
Analysis seminar, The University of Tokyo 2024.7.9
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Scattering theory and an index theorem on the radial part of SL(2,R) Invited International conference
Serge Richard
Conference on spectral and scattering and related topics 2023.11.30
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Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological! Invited International conference
Serge Richard
2nd Chile-Japan Workshop 2023.9.25
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Topological Levinson's theorem applied to group theory: a starter Invited International conference
Serge Richard
Wollongong Operator algebra & Noncommutative Geometry Seminar 2023.2.23
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Scattering theory and an index theory theorem on the radial part of SL(2,R) Invited
Serge Richard
Mathematical physics seminar 2022.12.1
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Scattering theory and an index theory theorem on the radial part of SL(2,R) Invited International conference
Serge Richard
Conference Asymptotic Analysis and Spectral Theory 2022.9.26
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Théorie de la diffusion et un théorème d'indice sur la partie radiale de SL(2,R) Invited International conference
Serge Richard
Seminar of EDP 2022.9.22
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Théorie de la diffusion et un théorème d'indice sur la partie radiale de SL(2,R) Invited International conference
Serge Richard
Seminar of analysis and EDP 2022.9.19
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Scattering theory and non-commutative geometry: A walk from the parentheses of Levinson to the hexagon of Cordes Invited International conference
Serge Richard
Global Noncommutative Geometry Seminar 2021.12.6
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Bibliometric analysis on mathematics 3 snapshots: 2005, 2010, 2015 Invited International conference
Serge Richard
Himeji conference on PDE 2021.3.5
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Discrete Laplacian in a half-space with a periodic surface potential: - Resolvent expansions, scattering matrix, and wave operators Invited International conference
Serge Richard
Conference on spectral and scattering and related topics 2019.12.2
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Operator algebras: what are they good for ? Invited International conference
Serge Richard
Spring school, mini course 2019.10.16
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Index theorems for Fredholm, semi-Fredholm and almost-periodic operators; all in one example Invited International conference
Serge Richard
Colloquium of mathematics 2019.8.28
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Levinson's theorem in scattering theory: classical, topological, complex, infinite ! Invited International conference
Serge Richard
Workshop on Analysis, PDE, and Mathematical Physics 2019.7.25
Research Project for Joint Research, Competitive Funding, etc. 2
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Data assimilation research with COVID-19 infectious disease models
2021.4 - 2022.3
RIKEN Presidential grant
Authorship：Principal investigator Grant type：Competitive
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Topological invariants through scattering theory and noncommutative geometry
2017.6 - 2021.3
International research unit
Grant type：Competitive
KAKENHI (Grants-in-Aid for Scientific Research) 3
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Singular integral operators and special functions in scattering theory
2021.4 - 2025.3
Grant-in-Aid for Scientific Research(C)
Authorship：Principal investigator Grant type：Competitive
Grant amount：\4160000 （ Direct Cost: \3200000 、 Indirect Cost：\960000 ）
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Index theorems in scattering theory: beyond a finite number of bound states
2018.4 - 2021.3
Grant-in-Aid for Scientific Research Grant-in-Aid for Scientific Research(C)
Authorship：Principal investigator
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Probing crystal defects with scattering theory and non-commutative topology
2014.4 - 2017.3
Grant-in-Aid for Scientific Research Grant-in-Aid for Young Scientists(A)
Teaching Experience (On-campus) 15
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[G30] Special Mathematics Lecture (Introduction to stochastic calculus)
2023
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[G30] Special Mathematics Lecture (Introduction to functional analysis)
2023
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Topics in Mathematical Science Ⅱ (Scattering theory for unitary operators)
2023
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2023
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2023
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2023
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2022
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[G30] Special Mathematics Lecture（Introduction to data assimilation）
2022
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Topics in Mathematical Science Ⅰ (C*-algebraic methods in spectral theory)
2022
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[G30] Special Mathematics Lecture（Groups and their representations）
2022
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[G30] Special Mathematics Lecture (Introduction to probability)
2021
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Topics in Mathematical Science ⅠI (Graphs and epidemiology)
2021
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[G30] Special Mathematics Lecture（differential equations and dynamical systems）
2021
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[G30] Special Mathematics Lecture (Graph theory)
2020
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Topics in Mathematical Science Ⅰ (K-theory for C*-algebras, and beyond)
2020
Media Coverage 6
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Control Simulation Experiment for extreme phenomena: new theory for extreme weather control Internet
RIKEN + Nagoya University 2023.6
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Daily updates of the infection prediction of new coronavirus disease Internet
RIKEN + Nagoya University 2021.9
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Bright Promotional material
Nagoya University 2024.9
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My Chance Promotional material
Nagoya University 2020.2
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Mathematics and People around It Internet
Meidai Watch 2019.4
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Deep Impact Promotional material
Nagoya University 2018.10
Academic Activities 3
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PhD Examiner International contribution
Role(s)：Review, evaluation
Universities 2013 - 2024
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Reviewer International contribution
Role(s)：Review, evaluation
Mathematical Reviews 2005 - 2024
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Referee International contribution
Role(s)：Review, evaluation
Mathematical Journals 2005 - 2024