HR job title
- Distinguished Professor
- Contact Info
- Websites
- ORCiD
- 0000-0001-8789-5246
Kuchment, Peter Distinguished Professor
Positions
- Distinguished Professor, Mathematics, College of Science
Research Areas
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- Research
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- Works By Students
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Overview
Publications
selected publications
-
academic article
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Kuchment, P.
(2021).
Three-Representation Problem in Banach Spaces. Complex Analysis and Operator Theory.
15(2), 34.
-
Kha, M., & Kuchment, P.
(2021).
Liouville-Riemann-Roch Theorems on Abelian Coverings. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
2245.
-
Braverman, M., Dikansky, A., Friedlander, L., Gromov, M., Ivrii, V., Kordyukov, Y., ... Zvonkin, A.
(2021).
Mikhail Aleksandrovich Shubin (1944–2020). Notices of the American Mathematical Society.
68(01), 1-1.
-
Braverman, M., Buchstaber, V. M., Gromov, M., Ivrii, V., Kordyukov, Y. A., Kuchment, P., ... Khovanskii, A. G.
(2020).
Mikhail Aleksandrovich Shubin. Russian Mathematical Surveys.
75(6), 1143-1152.
-
Braverman, M., Buchstaber, V. M., Gromov, M. L., Ivrii, V. Y., Kordyukov, Y. A., Kuchment, P. A., ... Khovanskii, A. G.
(2020).
Mikhail Aleksandrovich Shubin (obituary). Russian Mathematical Surveys.
75(6(456)), 162-170.
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Do, N., Kuchment, P., & Sottile, F.
(2020).
Generic properties of dispersion relations for discrete periodic operators. Journal of Mathematical Physics.
61(10), 103502-103502.
-
Agranovsky, M., Baras, J., Chang, D., Gay, R., Li, B. Q., Kuchment, P., ... Yger, A.
(2020).
Remembering Carlos A. Berenstein (1944–2019). Notices of the American Mathematical Society.
67(08), 1-1.
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Baines, W., Kuchment, P., & Ragusa, J.
(2020).
Deep learning for 2D passive source detection in presence of complex cargo. Inverse Probl.
36(10), 104001-104001.
-
Kuchment, P., & Taskinen, J.
(2020).
Dispersion relations and spectra of periodically perforated structures
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Braverman, M., Dikansky, A., Friedlander, L., Gromov, M., Ivrii, V., Kordyukov, Y., ... Zvonkin, A.
(2020).
Mikhail Aleksandrovich Shubin. December 19, 1944 -- May 13, 2020
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Braverman, M., Buchshtaber, B. M., Gromov, M., Ivrii, V., Kordyukov, Y. A., Kuchment, P., ... Khovanskii, A. G.
(2020).
Misha Shubin. 1944 -- 2020
-
Berkolaiko, G., & Kuchment, P.
(2020).
Spectral shift via "lateral" perturbation
-
Kuchment, P.
(2020).
Three-representation problem
-
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.
-
Corbin, J. E., & Kuchment, P.
(2019).
Spectra of "fattened" open book structures
-
Kuchment, P., & Lvin, S.
(2019).
Some binomial formulas for non-commuting operators. ADVANCES IN QUANTUM COMPUTATION.
733, 197-207.
-
Terzioglu, F., Kuchment, P., & Kunyansky, L.
(2018).
Compton camera imaging and the cone transform: a brief overview*. Inverse Probl.
34(5), 054002-054002.
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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.
-
Auckly, D., & Kuchment, P.
(2018).
On Parseval frames of exponentially decaying composite Wannier functions. ADVANCES IN QUANTUM COMPUTATION.
717, 227-240.
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Kha, M., Kuchment, P., & Raich, A.
(2017).
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral gap interior. Journal of Spectral Theory.
7(4), 1171-1233.
-
Kuchment, P., & Terzioglu, F.
(2017).
Inversion of weighted divergent beam and cone transforms. Inverse Problems & Imaging.
11(6), 1071-1090.
-
Agranovsky, M., Kuchment, P., & Kunyansky, L.
(2017).
On reconstruction formulas and algorithms for the thermoacoustic tomography. 89-101.
-
Olson, A., Ciabatti, A., Hristova, Y., Kuchment, P., Ragusa, J., & Allmaras, M.
(2016).
Passive Detection of Small Low-Emission Sources: Two-Dimensional Numerical Case Studies. NUCLEAR SCIENCE AND ENGINEERING.
184(1), 125-150.
-
Kuchment, P.
(2016).
An overview of periodic elliptic operators. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
53(3), 343-414.
-
Kuchment, P., & Terzioglu, F.
(2016).
3D Image Reconstruction from Compton camera data
-
Kuchment, P.
(2016).
On a problem concerning affine-invariant points of convex sets
-
Do, N. T., Kuchment, P., & Ong, B.
(2016).
On resonant spectral gap opening in quantum graph networks
-
Kuchment, P., & Terzioglu, F.
(2016).
Three-Dimensional Image Reconstruction from Compton Camera Data. SIAM Journal on Imaging Sciences.
9(4), 1708-1725.
-
Kuchment, P., & Steinhauer, D.
(2015).
Stabilizing inverse problems by internal data. II: non-local internal data and generic linearized uniqueness. Analysis and Mathematical Physics.
5(4), 391-425.
-
Kuchment, P.
(2015).
Book Review: Climate modeling for scientists and engineers. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY.
52(3), 519-520.
-
Kuchment, P., Lancaster, K., & Mogilevskaya, L.
(2015).
On local tomography. Inverse Probl.
11(3), 571-589.
-
Kuchment, P., & Kunyansky, L.
(2015).
Mathematics of Photoacoustic and Thermoacoustic Tomography. 1117-1167.
-
T., N., & Kuchment, P.
(2013).
Quantum graph spectra of a graphyne structure. Mathematics of Quantum Technologies.
2(1), 107-123.
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Olson, A., Ciabatti, A., Hristova, Y., Kuchment, P., Ragusa, J., Charlton, W., & Allmaras, M.
(2013).
Detection of small low emission sources - case studies
-
Allmaras, M., Darrow, D., Hristova, Y., Kanschat, G., & Kuchment, P.
(2013).
Detecting small low emission radiating sources. Inverse Problems & Imaging.
7(1), 47-79.
-
Peter Kuchment, .., & Sergey Lvin, ..
(2013).
Identities for sin x that Came from Medical Imaging. American Mathematical Monthly.
120(7), 609-621.
-
Kuchment, P., & Raich, A.
(2012).
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case. MATHEMATISCHE NACHRICHTEN.
285(14‐15), 1880-1894.
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Berkolaiko, G., Kuchment, P., & Smilansky, U.
(2012).
Critical Partitions and Nodal Deficiency of Billiard Eigenfunctions. GEOMETRIC AND FUNCTIONAL ANALYSIS.
22(6), 1517-1540.
-
Howson, W. P., & Watson, A.
(2012).
Homogeneous trees of second order Sturm–Liouville equations: A general theory and program. Computers & Structures.
104, 13-20.
-
Kuchment, P., & Steinhauer, D.
(2012).
Stabilizing inverse problems by internal data. Inverse Probl.
28(8), 084007-084007.
-
Berkolaiko, G., & Kuchment, P.
(2012).
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths. PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS.
84, 117-137.
-
Kuchment, P.
(2012).
Leon Ehrenpreis, Recollections from the Recent Decades. Springer Proceedings in Mathematics.
16, 15-21.
-
Kuchment, P.
(2012).
Mathematics of Hybrid Imaging: A Brief Review. Springer Proceedings in Mathematics.
16, 183-208.
-
Kuchment, P., & Kunyansky, L.
(2011).
2D and 3D reconstructions in acousto-electric tomography. Inverse Probl.
27(5), 055013-055013.
-
Xun, X., Mallick, B., Carroll, R. J., & Kuchment, P
(2011).
A Bayesian approach to the detection of small low emission sources. Inverse Probl.
27(11), 115009-115009.
-
Kuchment, P., & Raich, A.
(2011).
Green's function asymptotics near the internal edges of spectra of periodic elliptic operators. Spectral edge case
-
Agranovsky, M., & Kuchment, P.
(2011).
The support theorem for the single radius spherical mean transform. Memoirs on Differential Equations and Mathematical Physics.
52, 1-16.
-
Exner, P., Kuchment, P., & Winn, B.
(2010).
On the location of spectral edges in mathbb {Z}-periodic media. Journal of Physics A: Mathematical and Theoretical.
43(47), 474022-474022.
-
Kuchment, P., & Kunyansky, L.
(2010).
Synthetic focusing in ultrasound modulated tomography. Inverse Problems & Imaging.
4(4), 665-673.
-
Kuchment, P., & Ong, B.
(2009).
On guided electromagnetic waves in photonic crystal waveguides
-
Agranovsky, M., Finch, D., & Kuchment, P.
(2009).
Range conditions for a spherical mean transform. Inverse Problems & Imaging.
3(3), 373-382.
-
Kuchment, P.
(2009).
Tight frames of exponentially decaying Wannier functions. Journal of Physics A: Mathematical and Theoretical.
42(2), 025203-025203.
-
Hristova, Y., Kuchment, P., & Nguyen, L.
(2008).
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media. Inverse Probl.
24(5), 055006-055006.
-
KUCHMENT, P., & KUNYANSKY, L.
(2008).
Mathematics of thermoacoustic tomography. European Journal of Applied Mathematics.
19(2), 191-224.
-
Kuchment, P., & Pinchover, Y.
(2007).
Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds. Transactions of the American Mathematical Society.
359(12), 5777-5815.
-
Fulling, S. A., Kuchment, P., & Wilson, J. H.
(2007).
Index theorems for quantum graphs. Journal of Physics A: Mathematical and Theoretical.
40(47), 14165-14180.
-
Kuchment, P., & Post, O.
(2007).
On the Spectra of Carbon Nano-Structures. COMMUNICATIONS IN MATHEMATICAL PHYSICS.
275(3), 805-826.
-
Agranovsky, M., & Kuchment, P.
(2007).
Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed. Inverse Probl.
23(5), 2089-2102.
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Harrison, J. M., Kuchment, P., Sobolev, A., & Winn, B.
(2007).
On occurrence of spectral edges for periodic operators inside the Brillouin zone. Journal of Physics A: Mathematical and Theoretical.
40(27), 7597-7618.
-
Agranovsky, M., Kuchment, P., & Quinto, E. T.
(2007).
Range descriptions for the spherical mean Radon transform. Journal of Functional Analysis.
248(2), 344-386.
-
Kuchment, P.
(2007).
Integral representations of solutions of periodic elliptic equations. 42, 323-339.
-
Kuchment, P., & Kunyansky, L.
(2007).
Mathematics of thermoacoustic tomography
-
Kuchment, P., & Vainberg, B.
(2006).
On the Structure of Eigenfunctions Corresponding to Embedded Eigenvalues of Locally Perturbed Periodic Graph Operators. COMMUNICATIONS IN MATHEMATICAL PHYSICS.
268(3), 673-686.
-
Fridman, B., Kuchment, P., Lancaster, K., Lissianoi, S., Mogilevsky, M., Ma, D., Ponomarev, I., & Papanicolaou, V.
(2006).
Numerical harmonic analysis on the hyperbolic plane. Applicable Analysis.
76(3-4), 351-362.
-
Ambartsoumian, G., & Kuchment, P.
(2006).
A Range Description for the Planar Circular Radon Transform. SIAM Journal on Mathematical Analysis.
38(2), 681-692.
-
Fulling, S. A., & Kuchment, P.
(2005).
Coincidence of length spectra does not imply isospectrality. Inverse Probl.
21(4), 1391-1395.
-
Kuchment, P.
(2005).
Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs. Journal of Physics A: Mathematical and Theoretical.
38(22), 4887-4900.
-
Ambartsoumian, G., & Kuchment, P.
(2005).
On the injectivity of the circular Radon transform. Inverse Probl.
21(2), 473-485.
-
Xu, Y., Wang, L. V., Ambartsoumian, G., & Kuchment, P.
(2004).
Reconstructions in limited‐view thermoacoustic tomography. Med Phys.
31(4), 724-733.
-
Editor, P.
(2004).
Quantum graphs. Waves in Random Media.
14(1), s3-s5.
-
Kuchment, P.
(2004).
Quantum graphs: I. Some basic structures. Waves in Random Media.
14(1), s107-s128.
-
Kuchment, P.
(2002).
Graph models for waves in thin structures. Waves in Random Media.
12(4), r1-r24.
-
Kuchment, P., & Kunyansky, L.
(2002).
Differential Operators on Graphs and Photonic Crystals. Advances in Computational Mathematics.
16(2-3), 263-290.
-
Kuchment, P., & Levendorski, S.
(2001).
On the structure of spectra of periodic elliptic operators. Transactions of the American Mathematical Society.
354(2), 537-569.
-
Kuchment, P., & Zeng, H.
(2001).
Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph. Journal of Mathematical Analysis and Applications.
258(2), 671-700.
-
Kuchment, P., & Pinchover, Y.
(2001).
Integral Representations and Liouville Theorems for Solutions of Periodic Elliptic Equations. Journal of Functional Analysis.
181(2), 402-446.
-
Kuchment, P., & Vainberg, B.
(2000).
On absence of embedded eigenvalues for schrÖdinger operators with perturbed periodic potentials. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.
25(9-10), 1809-1826.
-
Axmann, W., & Kuchment, P.
(1999).
An Efficient Finite Element Method for Computing Spectra of Photonic and Acoustic Band-Gap Materials I. Scalar Case. JOURNAL OF COMPUTATIONAL PHYSICS.
150(2), 468-481.
-
Kuchment, P.
(1999).
DEPSCoR Project Mathematical Analysis of Photonic Band-Gap Materials 1997-2000
-
Axmann, W., Kuchment, P., & Kunyansky, L.
(1999).
Asymptotic methods for thin high-contrast two-dimensional PBG materials. Journal of Lightwave Technology.
17(11), 1996-2007.
-
Kuchment, P., & Levendorski, S.
(1999).
On absolute continuity of spectra of periodic elliptic operators. MATHEMATICAL RESULTS IN QUANTUM MECHANICS.
108, 291-297.
-
Kuchment, P., & Kunyansky, L. A.
(1999).
Spectral Properties of High Contrast Band-Gap Materials and Operators on Graphs. Experimental Mathematics.
8(1), 1-28.
-
Figotin, A., & Kuchment, P.
(1998).
Spectral Properties of Classical Waves in High-Contrast Periodic Media. SIAM Journal on Applied Mathematics.
58(2), 683-702.
-
Figotin, A., & Kuchment, P.
(1996).
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. II. Two-Dimensional Photonic Crystals. SIAM Journal on Applied Mathematics.
56(6), 1561-1620.
-
Aguilar, V., Ehrenpreis, L., & Kuchment, P.
(1996).
Range conditions for the exponential Radon transform. Journal d'Analyse Mathematique.
68(1), 1-13.
-
Agranovsky, M., Berenstein, C., & Kuchment, P.
(1996).
Approximation by spherical waves inLp-spaces. Journal of Geometric Analysis.
6(3), 365-383.
-
Figotin, A., & Kuchment, P.
(1996).
Band-Gap Structure of Spectra of Periodic Dielectric and Acoustic Media. I. Scalar Model. SIAM Journal on Applied Mathematics.
56(1), 68-88.
-
Aguilar, V., & Kuchment, P.
(1995).
Range conditions for the multidimensional exponential X-ray transform. Inverse Probl.
11(5), 977-982.
-
Shneiberg, L.
(1994).
Some inversion formulas in the single photon emission computed tomography. Applicable Analysis.
53(3-4), 221-231.
-
Kuchment, P.
(1994).
On the Behavior of Floquet Exponents of a Kind of Periodic Evolution Problems. Journal of Differential Equations.
109(2), 309-324.
-
Figotin, A., & Kuchment, P.
(1994).
Band-gap structure of the spectrum of periodic Maxwell operators. Journal of Statistical Physics.
74(1-2), 447-455.
-
Kuchment, P. A., & L'Vin, S. Y.
(1990).
Paley-Wiener theorem for exponential Radon transform. Acta Applicandae Mathematica.
18(3), 251-260.
-
Kuchment, P. A.
(1988).
Singularities of the boundary of the stability region in the infinite-dimensional case. Functional Analysis and Its Applications.
22(3), 232-233.
-
Berezanskii, Y. M., Bogolyubov, N. N., Kuchment, P. A., Levin, B. Y., Maslov, V. P., Novikov, S. P., & Semënov, E. M.
(1987).
Selim Grigor'evich Krein (on his seventieth birthday). Russian Mathematical Surveys.
42(5), 181-183.
-
Kuchment, P. A.
(1986).
SPHERICAL REPRESENTATION OF SOLUTIONS OF INVARIANT DIFFERENTIAL EQUATIONS ON A RIEMANNIAN SYMMETRIC SPACE OF NONCOMPACT TYPE. Mathematics of the USSR-Izvestiya.
27(3), 535-548.
-
Kuchment, P. A.
(1983).
REPRESENTATIONS OF SOLUTIONS OF PERIODIC PARTIAL DIFFERENTIAL EQUATIONS. Mathematics of the USSR-Izvestiya.
21(1), 93-117.
-
Kuchment, P. A.
(1982).
Floquet theory for partial differential equations. Russian Mathematical Surveys.
37(4), 1-60.
-
Kuchment, P. A.
(1982).
Functions on symmetric spaces which are periodic in the mean. Functional Analysis and Its Applications.
16(3), 213-214.
-
Kuchment, P. A.
(1980).
THE ABSENCE OF L 2 -SOLUTIONS FOR PERIODIC PARTIAL DIFFERENTIAL EQUATIONS. Russian Mathematical Surveys.
35(2), 247-248.
-
Kuchment, P. A.
(1980).
Bloch solutions of periodic partial differential equations. Functional Analysis and Its Applications.
14(1), 52-53.
-
Kuchment, P. A.
(1979).
ON THE FLOQUET THEORY FOR PERIODIC LINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENT. Russian Mathematical Surveys.
34(3), 205-206.
-
Kuchment, P. A.
(1979).
Floquet representation of solutions of linear hypoelliptic systems of partial differential equations. Functional Analysis and Its Applications.
13(1), 59-60.
-
Kuchment, P. A.
(1976).
Reconstruction of a continuous representation with respect to a subrepresentation and a factor representation. Functional Analysis and Its Applications.
10(1), 67-68.
-
Zaidenberg, M. G., Krein, S. G., Kuchment, P. A., & Pankov, A. A.
(1975).
BANACH BUNDLES AND LINEAR OPERATORS. Russian Mathematical Surveys.
30(5), 115-175.
-
Krasnenker, A. S., & Kuchment, P. A.
(1972).
Some sufficient conditions for the existence of nonhomogeneous flows in networks. Cybernetics and Systems Analysis.
8(4), 685-688.
-
Egorov, Y., Komech, A., Kuchment, P., Lakshtanov, E., Mazya, V., Molchanov, S., Novikov, R., & Freidlin, M.
Boris R. Vainberg (on his 80th birthday)
-
Kuchment, P.
(2021).
Three-Representation Problem in Banach Spaces. Complex Analysis and Operator Theory.
15(2), 34.
-
book
-
Kuchment, P.
(2013).
The Radon Transform and Medical Imaging. Ed. 85.
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. Ed. 186.
American Mathematical Society.
-
Kuchment, P.
(1993).
Floquet Theory for Partial Differential Equations. Birkhäuser Basel.
-
Kuchment, P.
(2013).
The Radon Transform and Medical Imaging. Ed. 85.
Society for Industrial and Applied Mathematics.
-
chapter
-
Corbin, J. E., & Kuchment, P.
(2020).
7. Spectra of “fattened” open book structures. The Mathematical Legacy of Victor Lomonosov.
(pp. 99-108).
DE GRUYTER.
-
Kuchment, P., & Semenov, E.
(2019).
Introduction. ADVANCES IN QUANTUM COMPUTATION.
Functional Analysis and Geometry.
(pp. 1-15).
American Mathematical Society.
-
Kuchment, P., & Semenov, E.
(2019).
Introduction. ADVANCES IN QUANTUM COMPUTATION.
Differential Equations, Mathematical Physics, and Applications.
(pp. 1-15).
American Mathematical Society.
-
Kuchment, P., & Lin, V.
(2019).
Selim Krein and Voronezh Winter Mathematical Schools. ADVANCES IN QUANTUM COMPUTATION.
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.
-
Do, N., Kuchment, P., & Ong, B.
(2017).
On resonant spectral gaps in quantum graphs. Functional Analysis and Operator Theory for Quantum Physics.
(pp. 213-222).
European Mathematical Society Publishing House.
-
Xu, Y., Wang, L. V., Ambartsoumian, G., & Kuchment, P.
(2017).
Limited view thermoacoustic tomography. Photoacoustic Imaging and Spectroscopy.
(pp. 61-73).
CRC Press.
-
Kuchment, P., & Scherzer, O.
(2015).
Tomography, Photoacoustic, and Thermoacoustic. Encyclopedia of Applied and Computational Mathematics.
(pp. 1488-1496).
Springer Berlin Heidelberg.
-
Kuchment, P., & Kunyansky, L.
(2011).
Mathematics of Photoacoustic and Thermoacoustic Tomography. Handbook of Mathematical Methods in Imaging.
(pp. 817-865).
Springer New York.
-
Xu, Y., Ambartsoumian, G., & Kuchment, P.
(2009).
Limited View Thermoacoustic Tomography. Photoacoustic Imaging and Spectroscopy.
(pp. 64-73).
CRC Press.
-
Agranovsky, M., Kuchment, P., & Kunyansky, L.
(2009).
On Reconstruction Formulas and Algorithms for the Thermoacoustic Tomography. Photoacoustic Imaging and Spectroscopy.
(pp. 89-101).
CRC Press.
-
Kuchment, P.
(2004).
On some spectral problems of mathematical physics. ADVANCES IN QUANTUM COMPUTATION.
Partial Differential Equations and Inverse Problems.
(pp. 241-276).
American Mathematical Society.
-
Kuchment, P., & Zeng, H.
(2003).
Asymptotics of spectra of Neumann Laplacians in thin domains. ADVANCES IN QUANTUM COMPUTATION.
Advances in Differential Equations and Mathematical Physics.
(pp. 199-213).
American Mathematical Society.
-
Kuchment, P., & Ong, B.
(2003).
On guided waves in photonic crystal waveguides. ADVANCES IN QUANTUM COMPUTATION.
Waves in Periodic and Random Media.
(pp. 105-115).
American Mathematical Society.
-
Kuchment, P.
(2001).
7. The Mathematics of Photonic Crystals. Bao, G., Cowsar, L. C., & Masters, W. (Eds.),
Mathematical Modeling in Optical Science.
(pp. 207-272).
Society for Industrial and Applied Mathematics.
-
Ehrenpreis, L., Kuchment, P., & Panchenko, A.
(2000).
The exponential X-ray transform and Fritz John’s equation. I. Range description. ADVANCES IN QUANTUM COMPUTATION.
Analysis, Geometry, Number Theory: The Mathematics of Leon Ehrenpreis.
(pp. 173-188).
American Mathematical Society.
-
Figotin, A., & Kuchment, P.
(1998).
2d photonic crystals with cubic structure: asymptotic analysis. CONVEXITY AND CONCENTRATION.
Wave Propagation in Complex Media.
(pp. 23-30).
Springer New York.
-
Kuchment, P.
(1992).
On positivity problems for the Radon transform and some related transforms. ADVANCES IN QUANTUM COMPUTATION.
Geometric Analysis.
(pp. 87-95).
American Mathematical Society.
-
Kuchment, P. A.
(1986).
On the spectral synthesis in the spaces of solutions of invariant differential equations. GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS.
Global Analysis — Studies and Applications II.
(pp. 85-100).
Springer Berlin Heidelberg.
-
Corbin, J. E., & Kuchment, P.
(2020).
7. Spectra of “fattened” open book structures. The Mathematical Legacy of Victor Lomonosov.
(pp. 99-108).
DE GRUYTER.
-
conference paper
-
Kuchment, P.
(2014).
CBMS-NSF Regional Conference Series in Applied Mathematics: Preface
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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 National Meeting Book of Abstracts.
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Kuchment, P.
(2008).
Quantum graphs: An introduction and a brief survey. ANALYSIS ON GRAPHS AND ITS APPLICATIONS.
291-312.
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Kuchment, P.
(2006).
Generalized transforms of Radon type and their applications. Proceedings of Hyp2008-the twelfth International Conference on Hyperbolic Problems.
67-91.
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BENCHAMA, N., & KUCHMENT, P.
(2003).
AN ASYMPTOTIC MODEL FOR WAVE PROPAGATION IN THIN HIGH CONTRAST 2D ACOUSTIC MEDIA. 647-650.
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Kuchment, P.
(2003).
Differential and Pseudo-differential Operators on Graphs as Models of Mesoscopic Systems. ANALYSIS AND APPLICATIONS - ISAAC 2001.
7-30.
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Kuchment, P., & Vainberg, B.
(1998).
On Embedded Eigenvalues of Perturbed Periodic Schrödinger Operators. 67-75.
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KUCHMENT, P.
(1994).
On inversion and range characterization of one transform arising in emission tomography. 240-248.
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Kuchment, P.
(2014).
CBMS-NSF Regional Conference Series in Applied Mathematics: Preface
editor of
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book
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Bal, G.
(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
Kuchment, P. (Eds.),
American Mathematical Soc..
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Weitsman, M.
(2010).
Spectral Theory and Geometric Analysis
Kuchment, P. (Eds.),
American Mathematical Soc..
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Exner, P.
(2008).
Analysis on Graphs and Its Applications Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007
Kuchment, P. (Eds.),
American Mathematical Soc..
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Kuchment, P.
(2003).
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
Kuchment, P. (Eds.),
American Mathematical Soc..
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Quinto, E. T., Cheney, M., Kuchment, P., & Society, A. M.
(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
Kuchment, P. (Eds.),
American Mathematical Soc..
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Berkolaiko, G.
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
Kuchment, P. (Eds.),
American Mathematical Soc..
-
Bal, G.
(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
Kuchment, P. (Eds.),
American Mathematical Soc..
Research
principal investigator on
- Spectral problems of mathematical physics and material science awarded by Directorate for Mathematical & Physical Sciences - (Arlington, Virginia, United States) 2020 - 2023
- Inverse Problems For Biomedical Imaging and Homeland Security awarded by National Science Foundation - (Arlington, Virginia, United States) 2018 - 2021
- Spectral Problems of Mathematical Physics Related to Novel Materials Science and Photonics awarded by National Science Foundation - (Arlington, Virginia, United States) 2015 - 2018
- Collaborative Research: Mathematics of Emerging Imaging Methods In Medicine and Homeland Security awarded by National Science Foundation - (Arlington, Virginia, United States) 2012 - 2018
Teaching
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
- MATH658 Appl Harm Analysis Instructor
- MATH664 Seminar Applied Math Instructor
- MATH685 Directed Studies Instructor
- MATH689 Sptp:professional Prep Instructor
- MATH689 Sptp:topological Insulators Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
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Allmaras, Moritz (2011-12). Modeling Aspects and Computational Methods for Some Recent Problems of Tomographic Imaging.
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Ambartsoumian, Gaik (2006-08). Spherical radon transforms and mathematical problems of thermoacoustic tomography.
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Do, Ngoc Thanh (2016-08). Some Spectral Problems in Mathematical Physics.
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Georgieva-Hristova, Yulia Nekova (2010-08). Mathematical Problems of Thermoacoustic and Compton Camera Imaging.
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Kha, Minh Tuan (2017-08). Spectral Edge Properties of Periodic Elliptic Operators.
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Moon, Sunghwan (2013-12). Properties of Some Integral Transforms Arising in Tomography.
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Nguyen, Linh V. (2010-08). Mathematical Problems of Thermoacoustic Tomography.
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Ong, Beng Seong (2006-08). Spectral problems of optical waveguides and quantum graphs.
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Terzioglu, Fatma (2018-05). Compton Camera Imaging and the Cone Transform.
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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.
Background
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
awards and honors
- Fellow of the Society for Industrial and Applied Mathematics, conferred by Society for Industrial and Applied Mathematics - (Philadelphia, Pennsylvania, United States), 2018
- AAAS Fellow, conferred by American Association For The Advancement of Science - (Washington D.C., District of Columbia, United States), 2015
- Senior Member, conferred by IEEE Foundation - (Piscataway, New Jersey, United States), 2015
- Fellow, conferred by American Mathematical Society - (Providence, Rhode Island, United States), 2013
- University Distinguished Professor, conferred by Texas A&M University - (College Station, Texas, United States), 2011
- Fellow, conferred by Institute of Physics - (London, United Kingdom), 2009
Contact
first name
- Peter
has last name
- Kuchment
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- kuchment@math.tamu.edu