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Lein Maximilian  LEIN MAXIMILIAN

ORCIDConnect your ORCID iD *help
Researcher Number 50769891
Affiliation (based on the past Project Information) *help 2018 – 2022: 東北大学, 材料科学高等研究所, 准教授
2017: 東北大学, 材料科学高等研究所, 助教
2016: 東北大学, 原子分子材料科学高等研究機構, 助教
Review Section/Research Field
Principal Investigator
Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related / Mathematical physics/Fundamental condensed matter physics
Keywords
Principal Investigator
物性物理学 / トポロジカル絶縁体 / 数理物理学 / non-hermitian / classical waves / topological insulators / condensed matter / フォトニック結晶 / electromagnetic waves / photonic crystals / 電磁気学
  • Research Projects

    (2 results)
  • Research Products

    (52 results)
  •  Deriving Novel Bulk-Boundary Correspondences for Pseudo-Hermitian SystemsPrincipal Investigator

    • Principal Investigator
      LEIN MAXIMILIAN
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 13010:Mathematical physics and fundamental theory of condensed matter physics-related
    • Research Institution
      Tohoku University
  •  Photonic Topological Insulators: Dynamical and Topological EffectsPrincipal Investigator

    • Principal Investigator
      Lein Maximilian
    • Project Period (FY)
      2016 – 2020
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Mathematical physics/Fundamental condensed matter physics
    • Research Institution
      Tohoku University

All 2022 2021 2020 2019 2018 2017 2016

All Journal Article Presentation Book

  • [Book] A Mathematical Journey Through Differential Equations of Physics2022

    • Author(s)
      Lein Max
    • Total Pages
      457
    • Publisher
      World Scientific Publishing
    • ISBN
      9789811225376
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Book] Linear Response Theory - An Analytic-Algebraic Approach2017

    • Author(s)
      Giuseppe De Nittis and Max Lein
    • Total Pages
      136
    • Publisher
      Springer
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] A Calculus for Magnetic Pseudodifferential Super Operators2022

    • Author(s)
      Gihyun Lee and Max Lein
    • Journal Title

      Journal of Mathematical Physics

      Volume: xxx Pages: 1-80

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Journal Article] A calculus for magnetic pseudodifferential super operators2022

    • Author(s)
      Lee Gihyun、Lein Max
    • Journal Title

      Journal of Mathematical Physics

      Volume: 63 Issue: 10 Pages: 103506-103506

    • DOI

      10.1063/5.0090191

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Journal Article] A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols2022

    • Author(s)
      Giuseppe De Nittis、Max Lein、Marcello Seri
    • Journal Title

      arxiv

      Volume: 137 Pages: 1-137

    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Journal Article] Equivalence of Electric, Magnetic and Electromagnetic Chern Numbers for Topological Photonic Crystals2020

    • Author(s)
      Giuseppe De Nittis and Max Lein
    • Journal Title

      Journal of Mathematical Physics

      Volume: 61 Issue: 2 Pages: 022901-022901

    • DOI

      10.1063/1.5094589

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] Symmetry Classification of Topological Photonic Crystals2020

    • Author(s)
      Giuseppe De Nittis and Max Lein
    • Journal Title

      Advances in Theoretical and Mathematical Physics

      Volume: 26 Issue: 6 Pages: 1467-1531

    • DOI

      10.4310/atmp.2019.v23.n6.a2

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] Topological Non-Hermitian Origin of Surface Electromagnetic and Acoustic Waves2019

    • Author(s)
      Konstantin Y. Bliokh, Daniel Leykam, Max Lein and Franco Nori
    • Journal Title

      Optics and Photonic News

      Volume: December Pages: 0-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] Topological non-Hermitian origin of surface Maxwell waves2019

    • Author(s)
      Konstantin Bliokh, Daniel Leykam, Max Lein and Franco Nori
    • Journal Title

      Nature Communications

      Volume: 10 Issue: 1 Pages: 1-7

    • DOI

      10.1038/s41467-019-08397-6

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] The Krein-Schroedinger Formalism of Bosonic BdG and Certain Classical Systems and Their Topological Classification2019

    • Author(s)
      Max Lein and Koji Sato
    • Journal Title

      Physical Review B

      Volume: 100 Issue: 7 Pages: 075414-075414

    • DOI

      10.1103/physrevb.100.075414

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] The Schroedinger Formalism of Electromagnetism and Other Classical Waves ― How to Make Quantum-Wave Analogies Rigorous2018

    • Author(s)
      Giuseppe De Nittis and Max Lein
    • Journal Title

      Annals of Physics

      Volume: In Press Pages: 1-49

    • DOI

      10.1016/j.aop.2018.02.019

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] Taking Inspiration from Quantum-Light Analogies ― Recent Results for Photonic Crystals2018

    • Author(s)
      Max Lein
    • Journal Title

      Macroscopic Limits of Quantum Systems ― Munich, Germany, March 20-April 1, 2017

      Volume: In Press Pages: 1-28

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Journal Article] Derivation of Ray Optics Equations in Photonic Crystals via a Semiclassical Limit2017

    • Author(s)
      Giuseppe De Nittis and Max Lein
    • Journal Title

      Annales Henri Poincare

      Volume: 18 Issue: 5 Pages: 1789-1831

    • DOI

      10.1007/s00023-017-0552-7

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] On the Bulk Classification of Non-Selfadjoint Topological Insulators Modeled by Spectral Operators2022

    • Author(s)
      Max Lein
    • Organizer
      Mathematical approach for topological physics (III), Nagoya University, Japan
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] Having a Fresh Look at the Conductivity in Metals - A Semiclassical Definition of the Fermi Surface2022

    • Author(s)
      Max Lein
    • Organizer
      Physics Colloqium, University of Cergy Paris, Cergy, France
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] An Introduction to the Theory of Topological Insulators - At the Intersection of Analysis and Topology2022

    • Author(s)
      Max Lein
    • Organizer
      Mini Workshop on Topological Insulators, University of Groningen, The Netherlands
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] A Definition of Fermi Surface in the Presence of Perturbations2022

    • Author(s)
      Max Lein
    • Organizer
      Physics seminar, Cergy Paris University, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] Magnetic Pseudodifferential Super Operators - At the Intersection of Functional Analysis and Operator Algebras2022

    • Author(s)
      Max Lein
    • Organizer
      Mathematisches Oberseminar, Max Planck Institute for Mathematics, Bonn, Germany
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] On the Classification of Non-Selfadjoint Topological Insulators Modeled by Spectral Operators2022

    • Author(s)
      Max Lein
    • Organizer
      Probability Seminar, Tohoku University
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] Magnetic Pseudodifferential Super Operators - At the Intersection of Functional Analysis and Operator Algebras2022

    • Author(s)
      Max Lein
    • Organizer
      Analysis Seminar, Max Planck Institute for Mathematics, Bonn, Germany
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] An Introduction to the Theory of Topological Insulators2022

    • Author(s)
      Max Lein
    • Organizer
      Mini symposium "Mathematical physics and topology", University of Groningen, The Netherlands
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] Mini Course on Semiclassics2021

    • Author(s)
      Max Lein
    • Organizer
      Learning from Insulators: New Trends in the Study of Conduction Properties of Metals, Lorentz Center, The Netherlands
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] On the Bulk Classification of Non-Hermitian Topological Insulators Modeled by Spectral Operators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      Theoretical studies of topological phases of matter (hybrid workshop, participated virtually), Yukawa Institute, Kyoto University
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] On the Classification of Non-Hermitian Topological Insulators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      MSM-AIMR Joint Online Workshop 2020, Cambridge University & AIMR, Tohoku University,
    • Invited
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] On the Classification of Non-Hermitian Topological Insulators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      MSM-AIMR Joint Online Workshop 2020, Cambridge University & AIMR, Tohoku University
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] On the Classification of Non-Hermitian Topological Insulators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      Mathematical Physics Seminar, Shinshu University
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] On the Bulk Classification of Non-Hermitian Topological Insulators Modeled by Spectral Operators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      Theoretical studies of topological phases of matter, Yukawa Institute, Kyoto University
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] On the Classification of Non-Hermitian Topological Insulators ― Physical Principles to Choose a Physically Meaningful Classification2020

    • Author(s)
      Max Lein
    • Organizer
      Mathematical Physics Seminar, Shinshu University
    • Data Source
      KAKENHI-PROJECT-20K03761
  • [Presentation] Linear Response Theory ― An Analytic-Algebraic Approach2019

    • Author(s)
      Max Lein
    • Organizer
      Rigorous Statistical Mechanics and Related Topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Towards a Rigorous Proof of Haldane's Photonic Bulk-Boundary Correspondence2019

    • Author(s)
      Max Lein
    • Organizer
      Mathematics Colloquium, University of Duesseldorf, Germany
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] A Unified Framework for Many Non-Hermitian Topological Insulators ― The Krein-Schroedinger Formalism and Applications to Conserved Quantities and Topological Classification2019

    • Author(s)
      Max Lein
    • Organizer
      Recent Advances in Topological Photonics
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] A Pedagogical Guide to the Theory of Topological Insulators2019

    • Author(s)
      Max Lein
    • Organizer
      University of Tokyo
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Towards a Rigorous Proof of Haldane's Photonic Bulk-Edge Correspondence2019

    • Author(s)
      Max Lein
    • Organizer
      Hokkaido University
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] An Analytic-Algebraic Approach to Linear Response Theory2019

    • Author(s)
      Max Lein
    • Organizer
      Mathematics Colloquium, University of Groningen, The Netherlands
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] A Giude to the Theory of Topological Insulators2019

    • Author(s)
      Max Lein
    • Organizer
      Stochastics Group Seminar, University of Duesseldorf, Germany
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Deriving Bulk-Boundary Correspondences from Conserved Quantities ― Topological Surface Modes at Metal-Dielectric Interfaces2019

    • Author(s)
      Max Lein
    • Organizer
      Hokkaido University
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Deriving Bulk-Boundary Correspondences from Conserved Quantities ― Topological Surface Modes at Metal-Dielectric Interfaces2019

    • Author(s)
      Max Lein
    • Organizer
      The 4th A3 Metamaterials Forum 2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Topological Classification of Linear and Weakly Non-Linear Electromagnetic Medias2018

    • Author(s)
      Max Lein
    • Organizer
      PIERS 2018, Toyama, Japan
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Towards a Rigorous Proof of Haldane's Photonic Bulk-Boundary Correspondence2018

    • Author(s)
      Max Lein
    • Organizer
      Recent Progress in the Mathematics of Topological Insulators, ETH Zuerich, Switzerland
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Deriving Bulk-Boundary Correspondences from Conserved Quantities - The Case of Homogeneous Electromagnetic Media2018

    • Author(s)
      Max Lein
    • Organizer
      BEC 2018 - Variety and universality of bulk-edge correspondences in topological phases: from solid state physics to transdisciplinary concepts, Tsukuba University, Tokyo
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Maxwell-type Operators - A New Class of Operators Describing Classical Waves2018

    • Author(s)
      Max Lein
    • Organizer
      Mathematics Colloquium, University of Groningen, The Netherlands
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Magnetic Weyl Calculus ― Quantizing Classical Systems with Magnetic Fields2017

    • Author(s)
      Max Lein
    • Organizer
      First San Pedro Meeting in Geometry and Physics
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Topological Classification of Electromagnetic Media2017

    • Author(s)
      Max Lein
    • Organizer
      META 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] New Phenomena in Classical Waves ― Taking Inspiration from Quantum Mechanics2017

    • Author(s)
      Max Lein
    • Organizer
      Top Math Phi
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Topological Classification of Electromagnetic Media2017

    • Author(s)
      Max Lein
    • Organizer
      Photonic Topological Insulators
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Systematic Quantum-Wave Analogies and Applications to Topological Photonic Crystals ― Using The Quantum Hall Effect for Light as a Lens2017

    • Author(s)
      Max Lein
    • Organizer
      NIMS Seminar
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Rigorous Analogies Between Quantum Systems and Classical Waves2017

    • Author(s)
      Max Lein
    • Organizer
      Physical and mathematical approaches to interacting particle systems -In honor of 70th birthday of Herbert Spohn-
    • Place of Presentation
      Tokyo Institute of Technology
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Understanding Quantum-Wave Analogies with a Focus on Spin Waves2017

    • Author(s)
      Max Lein
    • Organizer
      Fusion Research Presentation
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] “Semiclassical” Ray Optics in Photonic Crystals2016

    • Author(s)
      Max Lein
    • Organizer
      Seminar of the Faculty of Mathematics
    • Place of Presentation
      Pontificia Universidad de Chile, Santiago, Chile
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Classification of Topological Insulators for Classical Light2016

    • Author(s)
      Max Lein
    • Organizer
      Topological States of Light and Beyond
    • Place of Presentation
      Center for Theoretical Physics of Complex Systems, Daejeon, South Korea
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Unraveling the Relationship Between Topology and Physics2016

    • Author(s)
      Max Lein
    • Organizer
      Seminar of the Faculty of Physics
    • Place of Presentation
      Pontificia Universidad de Chile, Santiago, Chile
    • Data Source
      KAKENHI-PROJECT-16K17761
  • [Presentation] Rigorous Analogies Between Quantum Systems and Certain Wave Equations2016

    • Author(s)
      Max Lein
    • Organizer
      Spectral Theory of Novel Materials
    • Place of Presentation
      CIRM, Luminy, France
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K17761

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