What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Algebra
His main research concerns Spectral line, Mathematical analysis, Tomography, Photonic crystal and Quantum graph.
His Spectral line research includes themes of Complex system, Carbon, Nano- and Scalar.
Peter Kuchment combines subjects such as Eigenvalues and eigenvectors, Electromagnetic field and Graph with his study of Mathematical analysis.
His Tomography research is multidisciplinary, incorporating elements of Acoustics, Speed of sound, Mathematical problem, Detector and Eigenfunction.
His work focuses on many connections between Photonic crystal and other disciplines, such as Band gap, that overlap with his field of interest in Dielectric, Scattering, Wavelength, Electric field and Operator.
The concepts of his Quantum graph study are interwoven with issues in Dynamical systems theory, Pure mathematics, Mesoscopic physics, Universal graph and Topological graph theory.
His most cited work include:
- Quantum graphs: I. Some basic structures (571 citations)
- Introduction to Quantum Graphs (527 citations)
- Floquet Theory for Partial Differential Equations (428 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Mathematical analysis, Pure mathematics, Spectral line, Quantum graph and Tomography.
His research in the fields of Radon transform overlaps with other disciplines such as Inversion.
His study explores the link between Pure mathematics and topics such as Eigenvalues and eigenvectors that cross with problems in Mathematical physics.
His Spectral line study combines topics in areas such as Dispersion relation and Laplace operator.
Quantum graph is closely attributed to Eigenfunction in his work.
He interconnects Acoustics, Acoustic wave, Inverse problem, Medical imaging and Uniqueness in the investigation of issues within Tomography.
He most often published in these fields:
- Mathematical analysis (35.64%)
- Pure mathematics (20.21%)
- Spectral line (13.83%)
What were the highlights of his more recent work (between 2016-2021)?
- Pure mathematics (20.21%)
- Mathematical physics (6.38%)
- Spectrum (11.17%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Mathematical physics, Spectrum, Spectral line and Dispersion relation.
His Pure mathematics research is multidisciplinary, relying on both Infinity, Quantum graph, Multiplication and Counterexample.
His work deals with themes such as Operator and Elliptic operator, which intersect with Spectrum.
His research in Spectral line intersects with topics in Absolute continuity, Eigenvalues and eigenvectors, Spectral gap and Laplace operator.
His research integrates issues of Mathematical analysis, Dirac, Molecular physics, Spectral bands and Green's function in his study of Dispersion relation.
His biological study spans a wide range of topics, including Tomography and Iterative reconstruction.
Between 2016 and 2021, his most popular works were:
- On reconstruction formulas and algorithms for the thermoacoustic tomography (37 citations)
- Compton camera imaging and the cone transform: A brief overview (28 citations)
- Inversion of weighted divergent beam and cone transforms (17 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Algebra
Peter Kuchment focuses on Spectrum, Pure mathematics, Mathematical analysis, Mathematical physics and Radon transform.
His Spectrum study also includes
- Elliptic operator and related Green's function, Spectral line, Spectral gap, Dispersion relation and Vector bundle,
- Generic property that connect with fields like Algebraic geometry and Simple.
His work deals with themes such as Quantum graph, Quantum, Dirichlet distribution and Vertex, which intersect with Pure mathematics.
His study in Mathematical analysis is interdisciplinary in nature, drawing from both Algorithm and Speed of sound.
His Mathematical physics research is multidisciplinary, relying on both Wannier function, Operator and Lattice.
His Radon transform study combines topics from a wide range of disciplines, such as Integral geometry, Cone, Iterative reconstruction and Optics.
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