# preferredTitle
Arthur George and Mary Emolene Owen Chair, Distinguished Professor

# positions[].label
Arthur George and Mary Emolene Owen Chair

# overview
Major research articles, books, surveys, and presentations around the world on inverse problems (with applications to medical and homeland security imaging), material science (photonic crystals, nanostructures), spectral theory 9with math physics applications), and quantum graphs.

# researchAreas[].label
Human Resource Development, Workplace Incivility, Crisis Management, Work-life Issues

# researchAreas[].label
Human Resource Development and African Americans

# keywords[]
4.1 Discovery And Preclinical Testing Of Markers And Technologies

# keywords[]
Propagation Of Electromagnetic And Acoustic Waves

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4903 Numerical And Computational Mathematics

# keywords[]
4.1 Discovery And Preclinical Testing Of Markers And Technologies

# keywords[]
4.1 Discovery And Preclinical Testing Of Markers And Technologies

# keywords[]
Machine Learning And Artificial Intelligence

# keywords[]
Propagation Of Electromagnetic And Acoustic Waves

# keywords[]
Propagation Of Electromagnetic And Acoustic Waves

# keywords[]
16 Peace, Justice And Strong Institutions

# educationAndTraining[].organization.label
Voronezh State University - (Voronezh, Russia)

# educationAndTraining[].organization.label
National Academy of Sciences of Ukraine - (Kiev, Ukraine)

# educationAndTraining[].organization.label
University of Kharkiv - (Kharkiv, Ukraine)

# awardsAndHonors[].label
Fellow of the Society for Industrial and Applied Mathematics

# publications[].label
Identities for sin(x) that came from medical imaging

# publications[].label
Call for papers for a special issue on Quantum Graphs and their Applications

# publications[].label
On resonant spectral gap opening in quantum graph networks

# publications[].label
The support theorem for the single radius spherical mean transform

# publications[].label
On the spectra of carbon nano-structures

# publications[].label
Mathematics of Photoacoustic and Thermoacoustic Tomography

# publications[].label
Three-Representation Problem in Banach Spaces

# publications[].label
THE ABSENCE OF L2-SOLUTIONS FOR PERIODIC PARTIAL DIFFERENTIAL EQUATIONS

# publications[].label
BAND-GAP STRUCTURE OF THE SPECTRUM OF PERIODIC MAXWELL OPERATORS

# publications[].label
ON THE BEHAVIOR OF FLOQUET EXPONENTS OF A KIND OF PERIODIC EVOLUTION PROBLEMS

# publications[].label
Book Review: Climate modeling for scientists and engineers

# publications[].label
More about 3D Radon and X-ray Transforms

# publications[].label
The exponential X-ray transform and Fritz Johns equation. I. Range description

# publications[].label
Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown

# publications[].label
On a problem concerning affine-invariant points of convex sets

# publications[].label
Reconstructions in ultrasound modulated optical tomography

# publications[].label
Quantum Graphs II: Some spectral properties of quantum and combinatorial graphs

# publications[].label
Tight frames of exponentially decaying Wannier functions

# publications[].label
Spectral shift via "lateral" perturbation

# publications[].publisher
European Mathematical Society - EMS - Publishing House

# publications[].label
Paley-Wiener theorem for exponential Radon transform

# publications[].label
Integral representations and Liouville theorems for solutions of periodic elliptic equations

# publications[].label
On some spectral problems of mathematical physics

# publications[].label
Band-gap structure of spectra of periodic dielectric and acoustic media .2. Two-dimensional photonic crystals

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Some binomial formulas for non-commuting operators

# publications[].label
Graph models for waves in thin structures

# publications[].label
Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs

# publications[].label
Dispersion relations and spectra of periodically perforated structures

# publications[].label
Green's function asymptotics near the internal edges of spectra of   periodic elliptic operators. Spectral edge case

# publications[].label
An overview of periodic elliptic operators

# publications[].label
RANGE CONDITIONS FOR A SPHERICAL MEAN TRANSFORM

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
2D and 3D reconstructions in acousto-electric tomography

# publications[].label
Mathematics of Hybrid Imaging. A Brief Review

# publications[].label
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators

# publications[].label
CRITICAL PARTITIONS AND NODAL DEFICIENCY OF BILLIARD EIGENFUNCTIONS

# publications[].label
On the structure of eigenfunctions corresponding to embedded eigenvalues of locally perturbed periodic graph operators

# publications[].label
A survey in mathematics for industry mathematics of thermoacoustic tomography

# publications[].label
Range descriptions for the spherical mean Radon transform

# publications[].label
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case

# publications[].label
On Reconstruction Formulas and Algorithms for the Thermoacoustic Tomography

# publications[].label
"Standard" CT and X-ray and Radon Transforms

# publications[].label
Integral representations and Liouville theorems for solutions of periodic elliptic equations

# publications[].label
Convergence of spectra of mesoscopic systems collapsing onto a graph

# publications[].label
Deep learning for 2D passive source detection in presence of complex cargo

# publications[].label
Integral representations of solutions of periodic elliptic equations

# publications[].label
A Bayesian approach to the detection of small low emission sources.

# publications[].label
On inversion and range characterization of one transform arising in emission tomography

# publications[].label
On Parseval frames of exponentially decaying composite Wannier functions

# publications[].label
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths

# publications[].label
An efficient finite element method for computing spectra of photonic and acoustic band-gap materials - I. Scalar case

# publications[].label
Stabilizing Inverse Problems by Internal Data

# publications[].label
On absence of embedded eigenvalues for Schrodinger operators with perturbed periodic potentials

# publications[].label
On resonant spectral gaps in quantum graphs

# publications[].publisher
European Mathematical Society - EMS - Publishing House

# publications[].label
Quantum graph spectra of a graphyne structure

# publications[].label
To the memory of Selim Grigor'evich Krein (1917-1998)

# publications[].label
Band-gap structure of spectra of periodic dielectric and acoustic media .1. Scalar model

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
On occurrence of spectral edges for periodic operators inside the Brillouin zone

# publications[].label
Floquet theory for partial differential equations

# publications[].label
Thermo-, Photo-, and Optoacoustic Tomography (TAT/PAT/OAT)

# publications[].label
On the spectral synthesis in the spaces of solutions of invariant differential equations

# publications[].label
Spectral properties of high contrast band-gap materials and operators on graphs

# publications[].label
Functional Analysis and Geometry: Selim Grigorievich Krein Centennial Introduction

# publications[].label
Range conditions for the exponential radon transform

# publications[].label
3D Image Reconstruction from Compton camera data

# publications[].label
The Radon Transform and Medical Imaging Preface

# publications[].label
Quantum graphs: an introduction and a brief survey

# publications[].label
Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds

# publications[].label
On positivity problems for the Radon transform and some related transforms

# publications[].label
Coincidence of length spectra does not imply isospectrality

# publications[].label
SYNTHETIC FOCUSING IN ULTRASOUND MODULATED TOMOGRAPHY

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
Detecting small low emission radiating sources

# publications[].label
Boris R. Vainberg (on his 80th birthday)

# publications[].label
Stabilizing inverse problems by internal data. II: non-local internal data and generic linearized uniqueness

# publications[].label
Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds

# publications[].label
Critical partitions and nodal deficiency of billiard eigenfunctions

# publications[].label
Differential operators on graphs and photonic crystals

# publications[].label
Deep learning for 2D passive source detection in presence of complex cargo

# publications[].label
Functional Analysis and Geometry: Selim Grigorievich Krein Centennial Preface

# publications[].label
REPRESENTATIONS OF SOLUTIONS OF PERIODIC PARTIAL DIFFERENTIAL EQUATIONS

# publications[].label
Inversion of Weighted Divergent Beam and Cone Transforms

# publications[].label
Boris Rufimovich Vainberg (on his 80th birthday)

# publications[].label
Generic properties of dispersion relations for discrete periodic operators

# publications[].label
Artifacts, Incomplete Data, Microlocal Analysis, and Such

# publications[].label
On the location of spectral edges in $mathbb{Z}$-periodic media

# publications[].label
(    ): Boris Rufimovich Vainberg (on his 80th birthday)

# publications[].label
Asymptotic methods for thin high-contrast two-dimensional PBG materials

# publications[].publisher
Institute of Electrical and Electronics Engineers (IEEE)

# publications[].label
2D and 3D reconstructions in acousto-electric tomography

# publications[].label
Approximation by spherical waves inLp-spaces

# publications[].label
Spectra of "fattened" open book structures

# publications[].label
3D Image Reconstruction from Compton camera data

# publications[].label
On occurrence of spectral edges for periodic operators inside the Brillouin zone

# publications[].label
Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography

# publications[].label
On guided electromagnetic waves in photonic crystal waveguides

# publications[].label
On the injectivity of the circular Radon transform

# publications[].label
Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

# publications[].label
Asymptotics of spectra of Neumann Laplacians in thin domains

# publications[].label
Master's-level certificate program in nuclear forensics at Texas A&M University

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
SPHERICAL REPRESENTATION OF SOLUTIONS OF INVARIANT DIFFERENTIAL EQUATIONS ON A RIEMANNIAN SYMMETRIC SPACE OF NONCOMPACT TYPE

# publications[].label
A range description for the planar circular radon transform

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Tight frames of exponentially decaying Wannier functions

# publications[].label
CONTEMPORARY MATHEMATICS Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial Preface

# publications[].label
Generalized transforms of Radon type and their applications

# publications[].label
Singularities of the boundary of the stability region in the infinite-dimensional case

# publications[].label
On resonant spectral gap opening in quantum graph networks

# publications[].label
INVERSION OF WEIGHTED DIVERGENT BEAM AND CONE TRANSFORMS

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
Some binomial formulas for non-commuting operators

# publications[].label
Some Major CT Modalities and Their Features to Watch for

# publications[].label
ON THE FLOQUET THEORY FOR PERIODIC LINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT

# publications[].label
The support theorem for the single radius spherical mean transform

# publications[].label
Differential and pseudo-differential operators on graphs as models of mesoscopic systems

# publications[].label
RANGE CONDITIONS FOR THE MULTIDIMENSIONAL EXPONENTIAL X-RAY TRANSFORM

# publications[].label
On the injectivity of the circular Radon transform arising in thermoacoustic tomography

# publications[].label
Generic properties of dispersion relations for discrete periodic operators

# publications[].label
Spectral shift via "lateral" perturbation

# publications[].label
Reconstruction of a continuous representation with respect to a subrepresentation and a factor representation

# publications[].label
Liouville-Riemann-Roch Theorems on Abelian Coverings Preface

# publications[].label
Floquet Theory for Partial Differential Equations

# publications[].label
An asymptotic model for wave propagation in thin high contrast 2D acoustic media.

# publications[].label
Boris R. Vainberg (on his 80th birthday)

# publications[].label
Compton camera imaging and the cone transform: a brief overview

# publications[].label
On reconstruction formulas and algorithms for the thermoacoustic tomography

# publications[].label
Synthetic focusing in ultrasound modulated tomography

# publications[].label
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior

# publications[].publisher
European Mathematical Society - EMS - Publishing House

# publications[].label
Detection of small low emission sources - case studies

# publications[].label
On absolute continuity of spectra of periodic elliptic operators

# publications[].label
Coincidence of length spectra does not imply isospectrality

# publications[].label
Stabilizing inverse problems by internal data

# publications[].label
Some inversion formulas in the single photon emission computed tomography

# publications[].label
On absolute continuity of spectra of periodic elliptic operators

# publications[].label
Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs

# publications[].label
Functions on symmetric spaces which are periodic in the mean

# publications[].label
Auxiliary Statements and Proofs of Technical Lemmas

# publications[].label
Some sufficient conditions for the existence of nonhomogeneous flows in networks

# publications[].label
Selim Krein and Voronezh Winter Mathematical Schools

# publications[].label
AN OVERVIEW OF PERIODIC ELLIPTIC OPERATORS

# publications[].label
A Bayesian Approach to Detection of Small Low Emission Sources

# publications[].label
Quantum graphs: an introduction and a brief survey

# publications[].label
Range descriptions for the spherical mean Radon transform

# publications[].label
THE SUPPORT THEOREM FOR THE SINGLE RADIUS SPHERICAL MEAN TRANSFORM

# publications[].label
DEPSCoR Project Mathematical Analysis of Photonic Band-Gap Materials 1997-2000

# publications[].label
Remembering Carlos A. Berenstein (19442019)

# publications[].label
Dispersion relations and spectra of periodically perforated structures

# publications[].label
A range description for the planar circular Radon transform

# publications[].label
Half-time Range description for the free space wave operator and the spherical means transform

# publications[].label
Bloch solutions of periodic partial differential equations

# publications[].label
Mathematics of Photoacoustic and Thermoacoustic Tomography

# publications[].label
On a problem concerning affine-invariant points of convex sets

# publications[].label
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case

# publications[].label
(): Mikhail Aleksandrovich Shubin (obituary)

# publications[].label
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020

# publications[].label
Numerical harmonic analysis on the hyperbolic plane

# publications[].label
Mathematics of Photoacoustic and Thermoacoustic Tomography

# publications[].label
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020

# publications[].label
Floquet representation of solutions of linear hypoelliptic systems of partial differential equations

# publications[].label
Spectra of "fattened" open book structures

# publications[].label
CBMS-NSF Regional Conference Series in Applied Mathematics: Preface

# publications[].label
Spectral shift via "lateral" perturbation

# publications[].label
On reconstruction formulas and algorithms for the thermoacoustic tomography

# publications[].label
Range conditions for a spherical mean transform

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
On Reconstruction Formulas and Algorithms for the Thermoacoustic Tomography

# publications[].label
Some binomial formulas for non-commuting operators

# publications[].label
Mathematics of Hybrid Imaging: A Brief Review

# publications[].label
Passive Detection of Small Low-Emission Sources: Two-Dimensional Numerical Case Studies

# publications[].label
Quantum graphs: I. Some basic structures

# publications[].label
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media

# publications[].label
Quantum graph spectra of a graphyne structure

# publications[].label
On the structure of spectra of periodic elliptic operators

# publications[].label
Selim Grigor'evich Krein (on his seventieth birthday)

# publications[].label
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior

# publications[].label
Stabilizing inverse problems by internal data. II. Non-local internal data and generic linearized uniqueness

# publications[].label
Inverse Problems with Interior Information

# publications[].label
Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown

# publications[].label
On guided electromagnetic waves in photonic crystal waveguides

# publications[].label
Integral representations of solutions of periodic elliptic equations

# publications[].label
On embedded eigenvalues of perturbed periodic Schrodinger operators

# publications[].label
Three-Dimensional Image Reconstruction from Compton Camera Data

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
DETECTING SMALL LOW EMISSION RADIATING SOURCES

# publications[].publisher
American Institute of Mathematical Sciences (AIMS)

# publications[].label
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths

# publications[].label
Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs

# publications[].label
2d photonic crystals with cubic structure: asymptotic analysis

# publications[].label
On the location of spectral edges in Z-periodic media

# publications[].label
On Parseval frames of exponentially decaying composite Wannier functions

# publications[].label
On guided waves in photonic crystal waveguides

# publications[].label
On the spectra of carbon nano-structures

# publications[].label
Spectral properties of classical waves in high-contrast periodic media

# publications[].publisher
Society for Industrial & Applied Mathematics (SIAM)

# publications[].label
Detection of small low emission sources - case studies

# publications[].label
On absence of embedded eigenvalues for Schrdinger operators with perturbed periodic potentials

# publications[].label
Homogeneous trees of second order SturmLiouville equations: A general theory and program

# publications[].label
Stability of spectral partitions with corners

# publications[].label
Identities for sin x that Came from Medical Imaging

# publications[].label
Spectra of fattened open book structures

# publications[].label
CONTEMPORARY MATHEMATICS Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial Introduction

# publications[].label
Leon Ehrenpreis, Recollections from the Recent Decades

# publications[].tags
16 Peace, Justice and Strong Institutions

# editorOf[].label
Tomography, Impedance Imaging, and Integral Geometry 1993 AMS-SIAM Summer Seminar on the Mathematics of Tomography, Impedance Imaging, and Integral Geometry, June 7-18, 1993, Mount Holyoke College, Massachusetts

# editorOf[].label
Tomography and Inverse Transport Theory International Workshop on Mathematical Methods in Emerging Modalities of Medical Imaging, October 25-30, 2009, Banff, Canada : International Workshop on Inverse Transport Theory and Tomography, May 16-21, 2010, Banff, Canada

# editorOf[].label
Analysis on Graphs and Its Applications Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007

# editorOf[].label
Waves in Periodic and Random Media Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Waves in Periodic and Random Media, June 22-28, 2002, Mount Holyoke College, South Hadley, MA

# editorOf[].label
Quantum Graphs and Their Applications Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah

# researcherOn[].label
Spectral problems of mathematical physics and material science

# researcherOn[].awardedBy.label
Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States)

# researcherOn[].label
Spectral Problems of Mathematical Physics Related to Novel Materials Science and Photonics

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Inverse Problems For Biomedical Imaging and Homeland Security

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# researcherOn[].label
Collaborative Research: Mathematics of Emerging Imaging Methods In Medicine and Homeland Security

# researcherOn[].awardedBy.label
National Science Foundation - (Arlington, Virginia, United States)

# streetAddress
Texas A&M University; Mathematics; 3368 TAMU