World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
51
Citations
11154
World Ranking
1021
National Ranking
473

Research.com Recognitions

  • 2018 - SIAM Fellow For landmark contributions to mathematical physics and inverse problems.
  • 2015 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society

Overview

Peter Kuchment is affiliated with Texas A&M University in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with significant contributions in subfields such as Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Statistical and Nonlinear Physics, and Geometry and Topology.

The scientist's work addresses several main topics, including:

  • Spectral Theory in Mathematical Physics
  • Advanced Mathematical Modeling in Engineering
  • Advanced mathematical theories
  • Nonlinear Waves and Solitons
  • Numerical methods in inverse problems
  • Holomorphic and Operator Theory
  • Advanced Operator Algebra Research

Peter Kuchment has co-authored extensively with several researchers, frequently collaborating with Minh Kha, Maxim Braverman, Leonid Friedlander, Victor Ivrii, and Yuri A. Kordyukov.

The scientist has published their work in various academic venues, with multiple publications appearing in:

  • arXiv (Cornell University)
  • Journal of Mathematical Physics
  • Notices of the American Mathematical Society
  • Complex Analysis and Operator Theory
  • Helda (University of Helsinki)

Recent publications include:

  • "Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown", 2023, Journal of Mathematical Physics
  • "Three-Representation Problem in Banach Spaces", 2021, Complex Analysis and Operator Theory
  • "Liouville-Riemann-Roch Theorems on Abelian Coverings", 2021, Springer Nature (book publication)
  • "Generic properties of dispersion relations for discrete periodic operators", 2020, Journal of Mathematical Physics
  • "Dispersion relations and spectra of periodically perforated structures", 2020, Helda (University of Helsinki)
  • "Mikhail Aleksandrovich Shubin (1944-2020)", 2020, Notices of the American Mathematical Society

Peter Kuchment's academic distinctions include being named a SIAM Fellow in 2018 for landmark contributions to mathematical physics and inverse problems. They were also recognized as a Fellow of the American Association for the Advancement of Science (AAAS) in 2015 and as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Introduction to Quantum Graphs

    Gregory Berkolaiko;Peter Kuchment

  • Floquet Theory for Partial Differential Equations

    Peter Kuchment

  • Quantum graphs: I. Some basic structures

    Peter Kuchment

  • Reconstructions in limited-view thermoacoustic tomography

    Yuan Xu;Lihong V. Wang;Gaik Ambartsoumian;Peter Kuchment

  • Mathematics of thermoacoustic tomography

    Peter Kuchment;Leonid Kunyansky

  • Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media

    Yulia Hristova;Peter Kuchment;Linh Nguyen

  • Graph models for waves in thin structures

    Peter Kuchment

  • Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

    Peter Kuchment

  • An overview of periodic elliptic operators

    Peter Kuchment

  • The mathematics of photonic crystals

    Peter Kuchment

  • On the Spectra of Carbon Nano-Structures

    Peter Kuchment;Olaf Post

  • An Efficient Finite Element Method for Computing Spectra of Photonic and Acoustic Band-Gap Materials

    Waldemar Axmann;Peter Kuchment

  • Analysis on graphs and its applications

    Pavel Exner;Jonathan Keating;Peter Kuchment;Toshikazu Sunada

  • Quantum Graphs and Their Applications

    Gregory Berkolaiko;Robert Carlson;Stephen A. Fulling;Peter Kuchment

  • Band-gap structure of spectra of periodic dielectric and acoustic median I: scalar model

    Alex Figotin;Peter Kuchment

  • Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph

    Peter Kuchment;Hongbiao Zeng

  • Band-gap structure of spectra of periodic dielectric and acoustic media II: two-dimensional photonic crystals

    A. Figotin;P. Kuchment

  • Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

    Mark Agranovsky;Peter Kuchment

  • The Radon Transform and Medical Imaging

    Peter Kuchment

  • Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography

    Mark Agranovsky;Peter Kuchment

  • On local tomography

    P Kuchment;K Lancaster;L Mogilevskaya

  • Waves in Periodic and Random Media

    Peter Kuchment

Frequent Co-Authors

Gregory Berkolaiko
Gregory Berkolaiko Texas A&M University
Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Pavel Exner
Pavel Exner Czech Technical University in Prague
Daniele C. Struppa
Daniele C. Struppa Chapman University
Gunther Uhlmann
Gunther Uhlmann University of Washington
Guillaume Bal
Guillaume Bal University of Chicago
Plamen Stefanov
Plamen Stefanov Purdue University West Lafayette
Frank Sottile
Frank Sottile Texas A&M University
Bani K. Mallick
Bani K. Mallick Texas A&M University
Lihong V. Wang
Lihong V. Wang California Institute of Technology

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