Updated on 2022/04/12

写真a

 
RICHARD Serge charles
 
Organization
Administrative Support Organizations International Education & Exchange Designated professor
Graduate School of Mathematics Designated professor
Title
Designated professor
Contact information
メールアドレス

Degree 2

  1. Ph. D. (physics) ( 2004.6   University of Geneva ) 

  2. M. S. (physics) ( 1999.3   University of Lausanne ) 

Research Interests 6

  1. Noncommutative geometry

  2. Data assimilation

  3. Mourre theory and magnetic systems

  4. index theorems in scattering theory

  5. spectral and scattering theory

  6. Functional analysis

Research Areas 4

  1. Natural Science / Basic mathematics  / Functional analysis

  2. Natural Science / Basic mathematics  / Scattering theory

  3. Natural Science / Basic mathematics  / Noncommutative geometry

  4. Natural Science / Applied mathematics and statistics  / Data assimilation

Research History 5

  1. Nagoya University   Designated professor

    2016.10

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    Country:Japan

  2. Nagoya University   Designated associate professor

    2013.10 - 2016.9

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    Country:Japan

  3. Univeristy of Tsukuba   Visiting scholar

    2010.8 - 2012.7

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    Country:Japan

  4. University of Cambridge   Visiting scholar

    2008.9 - 2010.7

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    Country:United Kingdom

  5. Univeristy of Lyon   Associate professor

    2006.11

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    Country:France

Professional Memberships 2

  1. American mathematical society

  2. Société mathématique de France

Awards 1

  1. Excellent Teacher Award

    2019.4   Nagoya University  

 

Papers 18

  1. Spectral and scattering theory of one-dimensional coupled photonic crystals

    De Nittis G., Moscolari M., Richard S., Tiedra de Aldecoa R.

    REVIEWS IN MATHEMATICAL PHYSICS   Vol. 33 ( 08 )   2021.9

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    Language:Japanese  

    DOI: 10.1142/S0129055X21500276

    Web of Science

  2. Scattering Operator and Wave Operators for 2D Schrodinger Operators with Threshold Obstructions

    Richard S., Tiedra de Aldecoa R., Zhang L.

    COMPLEX ANALYSIS AND OPERATOR THEORY   Vol. 15 ( 6 )   2021.9

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  3. Bibliometric analysis on mathematics

    Richard Serge, Sun Qiwen

    ELECTRONIC JOURNAL OF APPLIED STATISTICAL ANALYSIS   Vol. 14 ( 1 ) page: 90 - 116   2021.5

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    Language:Japanese  

    DOI: 10.1285/i20705948v14n1p90

    Web of Science

  4. 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

  5. On radial Schrodinger operators with a Coulomb potential: general boundary conditions

    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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  6. On some integral operators appearing in scattering theory, and their resolutions Invited Reviewed

    S. Richard, T. Umeda

    Spectral Theory and Mathematical Physics, Latin American Mathematics Series     page: 243 - 256   2020

  7. Quantum walks with an anisotropic coin II: scattering theory

    Richard S., Suzuki A., Tiedra de Aldecoa R.

    LETTERS IN MATHEMATICAL PHYSICS   Vol. 109 ( 1 ) page: 61 - 88   2019.1

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    Language:Japanese  

    DOI: 10.1007/s11005-018-1100-1

    Web of Science

  8. Periodic Schroedinger operators on topological crystals: framework, analytically fibered operator, conjugate operator Invited

    S. Richard

    RIMS Kokyuroku   Vol. 2123   page: 51 - 68   2019

  9. Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example

    Inoue Hideki, Richard Serge

    JOURNAL OF NONCOMMUTATIVE GEOMETRY   Vol. 13 ( 4 ) page: 1359 - 1380   2019

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    Language:Japanese  

    DOI: 10.4171/JNCG/349

    Web of Science

  10. TOPOLOGICAL LEVINSON'S THEOREM FOR INVERSE SQUARE POTENTIALS: COMPLEX, INFINITE, BUT NOT EXCEPTIONAL

    Inoue H., Richard S.

    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES   Vol. 64 ( 2-3 ) page: 225 - 250   2019

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    Language:Japanese  

    Web of Science

  11. Commutator criteria for strong mixing II. More general and simpler Invited Reviewed

    S. Richard, R. Tiedra de Aldecoa

    CUBO   Vol. 21   page: 37 - 48   2019

  12. On Radial Schrodinger Operators with a Coulomb Potential

    Derezinski Jan, Richard Serge

    ANNALES HENRI POINCARE   Vol. 19 ( 9 ) page: 2869 - 2917   2018.9

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    Language:Japanese  

    DOI: 10.1007/s00023-018-0701-7

    Web of Science

  13. Spectral and scattering theory for Schrodinger operators on perturbed topological crystals

    Parra D., Richard S.

    REVIEWS IN MATHEMATICAL PHYSICS   Vol. 30 ( 4 )   2018.5

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    Language:Japanese  

    DOI: 10.1142/S0129055X18500095

    Web of Science

  14. Quantum walks with an anisotropic coin I: spectral theory

    Richard S., Suzuki A., Tiedra de Aldecoa R.

    LETTERS IN MATHEMATICAL PHYSICS   Vol. 108 ( 2 ) page: 331 - 357   2018.2

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    Language:Japanese  

    DOI: 10.1007/s11005-017-1008-1

    Web of Science

  15. Does Levinson's theorem count complex eigenvalues?

    Nicoleau F., Parra D., Richard S.

    JOURNAL OF MATHEMATICAL PHYSICS   Vol. 58 ( 10 )   2017.10

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    Language:Japanese  

    DOI: 10.1063/1.5004574

    Web of Science

  16. On Schrodinger Operators with Inverse Square Potentials on the Half-Line

    Derezinski Jan, Richard Serge

    ANNALES HENRI POINCARE   Vol. 18 ( 3 ) page: 869 - 928   2017.3

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    Language:Japanese  

    DOI: 10.1007/s00023-016-0520-7

    Web of Science

  17. Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition

    Richard S., Tiedra de Aldecoa R.

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS   Vol. 446 ( 2 ) page: 1695 - 1722   2017.2

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  18. Inner and outer continuity of the spectra for families of magnetic operators on Z^d Invited

    S. Richard

    RIMS Kokyuroku   Vol. 2023   page: 69 - 76   2017

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Research Project for Joint Research, Competitive Funding, etc. 1

  1. Topological invariants through scattering theory and noncommutative geometry

    2017.6 - 2021.3

    International research unit 

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    Grant type:Competitive

KAKENHI (Grants-in-Aid for Scientific Research) 3

  1. Singular integral operators and special functions in scattering theory

    2021.4 - 2025.3

    Grant-in-Aid for Scientific Research(C)

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    Authorship:Principal investigator 

  2. 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)

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    Authorship:Principal investigator 

  3. 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)