Scholars

Kuchment, Peter

Professor

Positions:

Distinguished Professor, Mathematics, College of Science

Research Areas:

Geometric analysis, Tomography, Photonic crystals, Quantum graphs, Diagnostic imaging, Mathematical physics, Differential equations, Partial, Human Resource Development and African Americans, Education, Spectral theory (Mathematics)

Single Page Bio

kuchment@math.tamu.edu

Co-author Network

Map of Science

Websites

Peter Kuchment

ORCID

0000-0001-8789-5246

Research Areas:

Geometric analysis, Tomography, Photonic crystals, Quantum graphs, Diagnostic imaging, Mathematical physics, Differential equations, Partial, Human Resource Development and African Americans, Education, Spectral theory (Mathematics)

education and training

D.Sc. in Mathematics, National Academy of Sciences of Ukraine - (Kiev, Ukraine) 1983
Ph.D. in Mathematics, University of Kharkiv - (Kharkiv, Ukraine) 1973
M.S. in Mathematics, Voronezh State University - (Voronezh, Russia) 1971

selected publications

Academic Articles99

Kuchment, P., & Zhao, J. (2019). Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs. Journal of Mathematical Physics. 60(9), 093502-093502.
Egorov, Y. V., Komech, A. I., Kuchment, P. A., Lakshtanov, E. L., Maz’ya, V. G., Molchanov, S. A., Novikov, R. G., & Freidlin, M. I. (2019). Boris Rufimovich Vainberg. Russian Mathematical Surveys. 74(1), 181-186.
Kuchment, P., & Lvin, S. (2019). Some binomial formulas for non-commuting operators. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. 733, 197-207.
Terzioglu, F., Kuchment, P., & Kunyansky, L. (2018). Compton camera imaging and the cone transform: a brief overview*. INVERSE PROBLEMS. 34(5), 054002-054002.
Buchstaber, V. M., Kuchment, P. A., Novikov, S. P., & Semenov, E. M. (2018). To the memory of Selim Grigor'evich Krein. Russian Mathematical Surveys. 73(1), 187-190.

Books4

Kuchment, P. (2013). The Radon Transform and Medical Imaging. Society for Industrial and Applied Mathematics.
Berkolaiko, G., & Kuchment, P. (2013). Introduction to Quantum Graphs. American Mathematical Soc..
Berkolaiko, G., & Kuchment, P. (2012). Introduction to Quantum Graphs. American Mathematical Society.
Kuchment, P. (1993). Floquet Theory for Partial Differential Equations. Birkhäuser Basel.

Chapters19

Kuchment, P., & Semenov, E. (2019). Introduction. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. Differential Equations, Mathematical Physics, and Applications. (pp. 1-15). American Mathematical Society.
Kuchment, P., & Semenov, E. (2019). Introduction. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. Functional Analysis and Geometry. (pp. 1-15). American Mathematical Society.
Kuchment, P., & Lin, V. (2019). Selim Krein and Voronezh Winter Mathematical Schools. MATHEMATICAL STUDIES ON HUMAN DISEASE DYNAMICS: EMERGING PARADIGMS AND CHALLENGES. Differential Equations, Mathematical Physics, and Applications. (pp. 29-34). American Mathematical Society.
Xu, Y., Wang, L. V., Ambartsoumian, G., & Kuchment, P. (2017). Limited View Thermoacoustic Tomography. Photoacoustic Imaging and Spectroscopy. (pp. 61-74). CRC Press.
Agranovsky, M., Kuchment, P., & Kunyansky, L. (2017). On Reconstruction Formulas and Algorithms for the Thermoacoustic Tomography. Photoacoustic Imaging and Spectroscopy. (pp. 89-102). CRC Press.

Conference Papers8

Kuchment, P. (2014). CBMS-NSF Regional Conference Series in Applied Mathematics: Preface. (85),
III, F., Charlton, W. S., Jr, F., Kuchment, P., Rundell, W., & Tribble, R. E. (2010). Master's-level certificate program in nuclear forensics at Texas A&M University. ACS Photonics. 240,
Kuchment, P. (2008). Quantum graphs: An introduction and a brief survey. SPECTRAL GEOMETRY. 77, 291-312.
Kuchment, P. (2006). Generalized transforms of Radon type and their applications. RADON TRANSFORM, INVERSE PROBLEMS, AND TOMOGRAPHY. 63, 67-91.
BENCHAMA, N., & KUCHMENT, P. (2003). AN ASYMPTOTIC MODEL FOR WAVE PROPAGATION IN THIN HIGH CONTRAST 2D ACOUSTIC MEDIA. 647-650.

editor of

Books6

(2008). Analysis on Graphs and Its Applications Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007. American Mathematical Soc..
(). 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. American Mathematical Soc..
(2010). Spectral Theory and Geometric Analysis. American Mathematical Soc..
(2011). 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. American Mathematical Soc..
(1994). 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. American Mathematical Soc..

teaching activities

MATH200 Horizons Of Mathematics Instructor
MATH423 Linear Algebra Ii Instructor
MATH611 Intro Ord & Part Diff Eq Instructor
MATH612 Part Diff Eq Instructor
MATH640 Linear Algebra For Appl Instructor

chaired theses and dissertations

Terzioglu, Fatma (2018-05). Compton Camera Imaging and the Cone Transform. (Doctoral Dissertation)
Kha, Minh Tuan (2017-08). Spectral Edge Properties of Periodic Elliptic Operators. (Doctoral Dissertation)
Do, Ngoc Thanh (2016-08). Some Spectral Problems in Mathematical Physics. (Doctoral Dissertation)
Weyand, Tracy Kathleen (2014-08). Zeros of Eigenfunctions of the Schrodinger Operator on Graphs and Their Relation to the Spectrum of the Magnetic Schrodinger Operator. (Doctoral Dissertation)
Moon, Sunghwan (2013-12). Properties of Some Integral Transforms Arising in Tomography. (Doctoral Dissertation)

Email

kuchment@math.tamu.edu

First Name

Peter

Last Name

Kuchment

mailing address

Texas A&M University; Mathematics; 3368 TAMU

College Station, TX 77843-3368

USA

Research Areas:

Geometric analysis, Tomography, Photonic crystals, Quantum graphs, Diagnostic imaging, Mathematical physics, Differential equations, Partial, Human Resource Development and African Americans, Education, Spectral theory (Mathematics)

Single Page Bio

kuchment@math.tamu.edu

Co-author Network

Map of Science

Websites

Peter Kuchment

ORCID

0000-0001-8789-5246

Research Areas:

Geometric analysis, Tomography, Photonic crystals, Quantum graphs, Diagnostic imaging, Mathematical physics, Differential equations, Partial, Human Resource Development and African Americans, Education, Spectral theory (Mathematics)

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