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RICHARD Serge  Richard Serge

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Richard Serge  Richard Serge

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Researcher Number 70725241
Affiliation (Current) 2025: 名古屋大学, 教養教育院, 教授
Affiliation (based on the past Project Information) *help 2022 – 2023: 名古屋大学, 教養教育院, 教授
2018 – 2021: 名古屋大学, 多元数理科学研究科(国際), G30特任教授
2016: 名古屋大学, 多元数理科学研究科(国際), G30特任教授
2015: 名古屋大学, 多元数理科学研究科, 特任准教授
2014: 名古屋大学, 多元数理科学研究科, その他
Review Section/Research Field
Principal Investigator
Basic Section 12010:Basic analysis-related / Basic analysis
Keywords
Principal Investigator
scattering theory / Index theorems / Wave operators / Scattering theory / wave operators / index theorem / spectral theory / special functions / singular operators / Decay estimate … More / Surface states / surface states / Special functions / Singular integrals / Bibliometric analysis / Integrable model / Epidemic propagation / Reproduction number / Decay estimates / Epidemiology / Bibliometric analaysis / Integrable models / index theorems / periodic systems / quantum walk / functional analysis Less
  • Research Projects

    (3 results)
  • Research Products

    (54 results)
  • Co-Researchers

    (2 People)
  •  Singular integral operators and special functions in scattering theoryPrincipal Investigator

    • Principal Investigator
      Richard Serge
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Nagoya University
  •  Index theorems in scattering theory: beyond a finite number of bound statesPrincipal Investigator

    • Principal Investigator
      Richard Serge
    • Project Period (FY)
      2018 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Nagoya University
  •  Probing crystal defects with scattering theory and non-commutative topologyPrincipal Investigator

    • Principal Investigator
      Richard Serge
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Young Scientists (A)
    • Research Field
      Basic analysis
    • Research Institution
      Nagoya University

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation Book

  • [Book] Spectral Theory and Mathematical Physics2016

    • Author(s)
      S. Richard
    • Total Pages
      54
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] Scattering theory and an index theorem on the radial part of SL(2,R)2024

    • Author(s)
      H. Inoue, S. Richard
    • Journal Title

      Journal of Topology and Analysis

      Volume: - Pages: 1-35

    • DOI

      10.1142/s179352532450002x

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Control simulation experiments of extreme events with the Lorenz-96 model2023

    • Author(s)
      Q. Sun, T. Miyoshi, S. Richard
    • Journal Title

      Nonlinear Processes in Geophysics

      Volume: 30 Issue: 2 Pages: 117-128

    • DOI

      10.5194/npg-30-117-2023

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Analysis of COVID-19 in Japan with extended SEIR model and ensemble Kalman filter2023

    • Author(s)
      Q. Sun, T. Miyoshi, S. Richard
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 419 Pages: 114772-114772

    • DOI

      10.1016/j.cam.2022.114772

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Spectral and scattering theory for topological crystals perturbed by infinitely many new edges2022

    • Author(s)
      S. Richard, N. Tsuzu
    • Journal Title

      Reviews in Mathematical Physics

      Volume: 33 Issue: 04

    • DOI

      10.1142/s0129055x22500106

    • NAID

      120007190679

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328, KAKENHI-PROJECT-21K03292
  • [Journal Article] Analysis of COVID-19 Spread in Tokyo through an Agent-Based Model with Data Assimilation2022

    • Author(s)
      C. Sun, S. Richard, T. Miyoshi, N. Tsuzu
    • Journal Title

      Journal of Clinical Medicine

      Volume: 11 Issue: 9 Pages: 2401-2401

    • DOI

      10.3390/jcm11092401

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Analysis of COVID-19 Spread in Tokyo through an Agent-Based Model with Data Assimilation2022

    • Author(s)
      C. Sun, S. Richard, T. Miyoshi, N. Tsuzu
    • Journal Title

      Journal of clinical medicine

      Volume: 11

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Decay Estimates for Unitary Representations with Applications to Continuous- and Discrete-Time Models2022

    • Author(s)
      S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Annales Henri Poincare

      Volume: 24 Issue: 1 Pages: 1-36

    • DOI

      10.1007/s00023-022-01199-5

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Decay estimates for unitary representations with applications to continuous- and discrete-time models2022

    • Author(s)
      S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Annales Henri Poincare

      Volume: in press

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators2022

    • Author(s)
      H. S. Nguyen, S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Mathematische Nachrichten

      Volume: in press Issue: 5 Pages: 912-949

    • DOI

      10.1002/mana.201900430

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Spectral and scattering theory of one-dimensional coupled photonic crystals2021

    • Author(s)
      G. De Nittis, M. Moscolari, S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Reviews in Mathematical Physics

      Volume: in press

    • NAID

      120007190680

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Scattering Operator and Wave Operators for 2D Schroedinger Operators with Threshold Obstructions2021

    • Author(s)
      S. Richard, R. Tiedra de Aldecoa, L. Zhang
    • Journal Title

      Complex Analysis and Operator Theory

      Volume: 15 Issue: 6

    • DOI

      10.1007/s11785-021-01153-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Journal Article] Bibliometric analysis on mathematics, 3 snapshots: 2005, 2010, 20152021

    • Author(s)
      S. Richard, Q. Sun
    • Journal Title

      Electronic Journal of Applied Statistical Analysis

      Volume: in press

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Discrete Laplacian in a half-space with a periodic surface potential I: Resolvent expansions, scattering matrix, and wave operators2021

    • Author(s)
      S. H. Nguyen, S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Mathematische Nachrichten

      Volume: in press

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] On radial Schroedinger operators with a Coulomb potential: General boundary conditions2020

    • Author(s)
      J. Derezinski, J. Faupin, Q.N. Nguyen, S. Richard
    • Journal Title

      ADVANCES IN OPERATOR THEORY

      Volume: 82

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] On some integral operators appearing in scattering theory, and their resolutions2020

    • Author(s)
      S. Richard, T. Umeda
    • Journal Title

      book: Spectral Theory and Mathematical Physics, proceeding of a conference

      Volume: in press

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Topological Levinson's theorem for inverse square potentials: complex, infinite, but not exceptional2019

    • Author(s)
      H. Inoue, S. Richard
    • Journal Title

      Revue roumaine de mathematiques pures et appliquees

      Volume: LXIV

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example2019

    • Author(s)
      H. Inoue, S. Richard
    • Journal Title

      Journal of noncommutative geometry

      Volume: in press

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Journal Article] On Schroedinger operators with inverse square potentials on the half-line2017

    • Author(s)
      J. Derezinski, S. Richard
    • Journal Title

      Ann. Henri Poincare

      Volume: 18 Issue: 3 Pages: 869-928

    • DOI

      10.1007/s00023-016-0520-7

    • Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] Spectral and scattering properties at thresholds for the Laplacian in a half-space with a periodic boundary condition2017

    • Author(s)
      S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 446 Issue: 2 Pages: 1695-1722

    • DOI

      10.1016/j.jmaa.2016.09.045

    • NAID

      120005971271

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] Schroedinger operators with n positive eigenvalues: an explicit construction involving complex valued potentials2016

    • Author(s)
      Serge Richard, Jun Uchiyama, Tomio Umeda
    • Journal Title

      Proceedings of Japan Academy

      Volume: 92, Ser. A Issue: 1 Pages: 7-12

    • DOI

      10.3792/pjaa.92.7

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400175, KAKENHI-PROJECT-26707005
  • [Journal Article] Continuity of the spectra for families of magnetic operators on Z^d,2016

    • Author(s)
      D. Parra, S. Richard
    • Journal Title

      Anal. Math. Phys.

      Volume: 6 Issue: 4 Pages: 327-343

    • DOI

      10.1007/s13324-015-0121-5

    • NAID

      120005946585

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] Resolvent expansions and continuity of the scattering matrix at embedded thresholds: the case of quantum waveguides2016

    • Author(s)
      S. Richard, R. Tiedra de Aldecoa
    • Journal Title

      Bull. Soc. math. France

      Volume: 144 Pages: 251-277

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] Low energy spectral and scattering theory for relativistic Schroedinger operators2016

    • Author(s)
      S. Richard, T. Umeda
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 45 Pages: 141-179

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Journal Article] One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results2014

    • Author(s)
      K. Pankrashkin, S. Richard
    • Journal Title

      Journal of mathematical physics

      Volume: 55 Issue: 6 Pages: 0623051-17

    • DOI

      10.1063/1.4884417

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Topological Levinson's theorem applied to group theory: a starter2023

    • Author(s)
      Serge Richard
    • Organizer
      Seminar of operator algebras and noncommutative geometry, Wollongong, Australia
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Levinson's theorem for two-dimensional scattering systems: it was a surprise, it is now topological!2023

    • Author(s)
      Serge Richard
    • Organizer
      2nd Chile-Japan Workshop on Mathematical Physics and PDE, Santiago (Chile)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Scattering theory and an index theorem on the radial part of SL(2,R)2023

    • Author(s)
      Serge Richard
    • Organizer
      Spectral and Scattering Theory and Related Topics, Rims Kyoto (JP)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Theorie de la diffusion et un theoreme d'indice sur la partie radiale de SL(2,R)2022

    • Author(s)
      Serge Richard
    • Organizer
      Seminar of EDP, University of Besancon, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Scattering theory and an index theory theorem on the radial part of SL(2,R)2022

    • Author(s)
      Serge Richard
    • Organizer
      Conference Asymptotic Analysis and Spectral Theory, Oldenburg, Germany
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Scattering theory and an index theorem on the radial part of SL(2,R)2022

    • Author(s)
      Serge Richard
    • Organizer
      Seminar of mathematical physics, Kyushu University
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Theorie de la diffusion et un theoreme d'indice sur la partie radiale de SL(2,R)2022

    • Author(s)
      Serge Richard
    • Organizer
      Seminar of analysis and EDP, University of Cergy-Pontoise, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Scattering theory and non-commutative geometry: A walk from the parentheses of Levinson to the hexagon of Cordes2021

    • Author(s)
      Serge Richard
    • Organizer
      Global Noncommutative Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Bibliometric analysis on mathematics 3 snapshots: 2005, 2010, 20152021

    • Author(s)
      S. Richard
    • Organizer
      Himeji Conference on Partial Differential Equations
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Scattering theory and non-commutative geometry: A walk from the parentheses of Levinson to the hexagon of Cordes2021

    • Author(s)
      Serge Richard
    • Organizer
      Global Noncommutative Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03292
  • [Presentation] Levinson's theorem in scattering theory: classical, topological, complex, infinite !2019

    • Author(s)
      S. Richard
    • Organizer
      Workshop on Analysis, PDE, and Mathematical physics, Central China Normal University, Wuhan (China)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Operator algebras: what are they good for ?2019

    • Author(s)
      S. Richard
    • Organizer
      Spring School in Analysis and Mathematical Physics, Pontificia Universidad Catolica de Chile, Santiago, Chile
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Discrete Laplacian in a half-space with a periodic surface potential: - Resolvent expansions, scattering matrix, and wave operators2019

    • Author(s)
      S. Richard
    • Organizer
      Spectral and Scattering Theory and Related Topics, Rims Kyoto
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Index theorems for Fredholm, semi-Fredholm and almost-periodic operators; all in one example2019

    • Author(s)
      S. Richard
    • Organizer
      Colloquium of mathematics, Universidad de Chile, Santiago (Chile)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Wave operators: Beyond existence, completeness, and boundedness2018

    • Author(s)
      S. Richard
    • Organizer
      Kagurazaka analysis seminar, Tokyo University of Science (JP)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Index theorems for Fredholm, semi-Fredholm and almost-periodic operators; all in one example2018

    • Author(s)
      S. Richard
    • Organizer
      International Conference Spectral Theory and Mathematical Physics, Santiago (Chile)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Le theoreme de Levinson topologique: 13 ans apres2018

    • Author(s)
      S. Richard
    • Organizer
      Seminar of geometry, algebra and operator algebras, Clermont-Ferrand University (F)
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03328
  • [Presentation] Spectral and scattering theory on perturbed crystal lattices2017

    • Author(s)
      S. Richard
    • Organizer
      Seminar talk
    • Place of Presentation
      WPI AIMR Sendai
    • Year and Date
      2017-02-23
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Theorie spectrale et de la diffusion sur des cristaux topologiques perturbes2016

    • Author(s)
      S. Richard
    • Organizer
      Seminar of analysis
    • Place of Presentation
      University of Bordeaux, France
    • Year and Date
      2016-09-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Operateurs de Schroedinger presque homogenes2016

    • Author(s)
      S. Richard
    • Organizer
      Seminar of mathematical physics
    • Place of Presentation
      University of Orsay
    • Year and Date
      2016-09-21
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Operateurs de Schroedinger presque homogenes2016

    • Author(s)
      S. Richard
    • Organizer
      Seminar of mathematical physics
    • Place of Presentation
      University of Grenoble, France
    • Year and Date
      2016-09-19
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Continuite du spectre pour des familles d'operateurs magnetiques sur Z^d2016

    • Author(s)
      S. Richard
    • Organizer
      Seminar of analysis, geometry and algebra
    • Place of Presentation
      University of Lorraine, France
    • Year and Date
      2016-09-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Operateurs de Schroedinger presque homogenes2016

    • Author(s)
      S. Richard
    • Organizer
      Seminar of EDP, analysis and applications
    • Place of Presentation
      University of Lorraine, France
    • Year and Date
      2016-09-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Continuity of the spectra for families of magnetic operators on Z^d2016

    • Author(s)
      S. Richard
    • Organizer
      Spectral and Scattering Theory and Related Topics
    • Place of Presentation
      Rims, Kyoto
    • Year and Date
      2016-01-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Continuity of the spectra for families of magnetic operators on Z^d2015

    • Author(s)
      S. Richard
    • Organizer
      Seminar of analysis
    • Place of Presentation
      University of Hyogo, Himeji
    • Year and Date
      2015-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Asymptotic expansion at embedded thresholds2014

    • Author(s)
      S. Richard
    • Organizer
      Seminar of analysis
    • Place of Presentation
      University of Tsukuba
    • Year and Date
      2014-12-10
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Back-and-forth between scattering theory and index theorems2014

    • Author(s)
      S. Richard
    • Organizer
      Seminar of operator algebras
    • Place of Presentation
      University of Tokyo
    • Year and Date
      2014-10-01
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Levinson's theorem: an index theorem in scattering theory

    • Author(s)
      S. Richard
    • Organizer
      International Conference on Spectral Theory and Mathematical Physics
    • Place of Presentation
      Santiago, Chili
    • Year and Date
      2014-11-24 – 2014-11-28
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • [Presentation] Towards scattering theory and index theorems in periodic systems

    • Author(s)
      S. Richard
    • Organizer
      Workshop: quantum walks, random walks and scattering theory on periodic systems
    • Place of Presentation
      Nagoya University
    • Year and Date
      2015-01-21 – 2015-01-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-26707005
  • 1.  UCHIYAMA Jun
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results
  • 2.  楳田 登美男
    # of Collaborated Projects: 0 results
    # of Collaborated Products: 1 results

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