Peter Kuchment

Department of Mathematics

Texas A&M University

College Station, TX 77843-3368

Voice: (979) 862-3257

FAX: (979) 862-4190

e-mail: kuchment@math.tamu.edu

Web page: http://www.math.tamu.edu/~kuchment

Field

Pure and Applied Mathematics, Math. Education

Education

Date

Degree

Institution

1983

Science Doctor in Mathematics and Physics

Acad. of Sciences, Kiev, USSR

1973

PhD in Mathematics

Kharkov State University, Kharkov, USSR

1971

MS in Mathematics

Voronezh State University, Voronezh, USSR

Experience

Dates

Position

Institution

2011 - present

University Distinguished Professor

Mathematics Department, Texas A&M University, College Station, TX, USA

2001 - 2011

Professor

Mathematics Department, Texas A&M University, College Station, TX, USA

1993-2001

Professor

Mathematics and Statistics Dept., Wichita State University, Wichita, KS, USA

1990-1993

Associate Professor

same Department

1985 -1989

Professor

Math. Departments, State University and Forestry Institute, Voronezh, USSR

1987-1989

Chairman

Math. Department, Forestry Institute, Voronezh, USSR

1976-1984

Associate Professor

same Department

1972-1975

Assistant Professor

same Department

1971-1972

Math. Teacher

High school, Voronezh, USSR

Additional current affiliations
Member, Inst. Appl. Math. Comp. Sci., Texas A&M Since its inception in 2008
Member, Nuclear Solutions Institute, Texas A&M Since its inception in 2010
Director, Summer Math Hogh School Camp SMaRT, Texas A&M Since its inception in 2008

Courses taught

Graduate Advising

Advised on seventeen Ph.D. Dissertations. Currently advising three PhD students:

  1. V.Sviridov, Some problems of the theory of periodic differential equations, 1986, Voronezh, USSR. Currently an Assoc. Prof. at the Polytechnic Univ., Kursk, Russia.

  2. L.Khinkis, Spectral synthesis on semi- simple Lie groups, 1987, Voronezh, USSR. Currently an Assoc. Prof. (formerly Chair and Dean), Math. Department, Canisius College, Buffalo, NY.

  3. L.Solomatina, Some problems on invariant differential equations on Riemannian symmetric spaces, 1990, Voronezh, USSR. Currently an actuary in Moscow, Russia.

  4. V. Aguilar, The range of the exponential Radon transform, 1995, Wichita State University, Wichita, KS. Currently an Assoc. Professor (and formerly Chair), Math. Dept., Univ. San Francisco de Quito, Quito, Ecuador.

  5. S. Lissianoi, Mathematical problems of tomography and radiation therapy, 1996, Wichita State University, Wichita, KS. Won the 1997 Dora Wallace Hodgson Outstanding Doctor Dissertation Award and an Award for the best student presentation during a 1996 Meeting of Kansas Section of MAA. Currently at Bay Networks in Boston, MA.

  6. I. Ponomarev, Numerical analysis of problems of tomography, radiotherapy, and photonic crystal theory, 1997, Wichita State University, Wichita, KS. Currently in the family oil business.

  7. L. Kunyansky, Numerical and Analytic Study of Problems of Photonic Crystal Theory, 1998. Wichita State University, Wichita KS. The 1998 recipient of the Dora Wallace Hodgson Outstanding Doctoral Student Award. Currently an Associate Professor at the Math. Dept., U. Arizona, Tucson, AZ.

  8. H. Zeng, Convergence of spectra of mesoscopic systems collapsing onto a graph, 2001, Wichita State University, Wichita, KS. Currently an Associate Professor at Fort Heys Univ., KS.

  9. Gaik Ambartsoumian, Spherical Radon Transform and Mathematical Problems of Thermoacoustic Tomography, 2006, Texas A&M University, College Station, TX. The 2006 recipient of Guzeman Award. Currently Associate Prof. at Univ. of Texas, Arlington.

  10. Beng-Seong Ong, Spectral Problems of Optical Waveguides and Quantum Graphs, 2006, Texas A&M University, College Station, TX. Currently at the geophysics company Veritas, Houston.

  11. Yulia Georgieva-Hristova, Mathematical problems of Thermoacoustic and Compton camera imaging, 2010, Texas A&M University. The recipient of the 2nd place poster award at the 2009 IAMCS workshop. Graduated in summer 2010. 2010 - 2013 postdoc at the Inst. Math. and Appl., Minneapolis, MN. Currently Assistant Prof. at Univ. Michigan, Dearborn.

  12. Linh Nguyen, Mathematical problems of Thermoacoustic imaging, 2010, Texas A&M University. The 2009 recipient of Guzeman Award and of the 2nd place poster award at the 2009 IAMCS workshop. Graduating in summer 2010. Fall 2010 - postdoc at the Math. Sci. Res. Inst., Berkeley, CA. Currently Assistant Prof. at Univ. of Idaho.

  13. Moritz Allmaras (co-advising with Wolfgang Bangerth), Modeling Aspects and Computational Methods for Some Recent Problems of Tomographic Imaging, 2011, Texas A&M University. The recipient of the 1st place poster award at the 2009 IAMCS workshop. Currently at Siemens in Germany.

  14. Sunghwan Moon, Properties of some Integral Transforms Arising in Tomography, Texas A&M University, 2013. Currently postdoc at Ulsan National Institute of Science and Technology, Ulsan, Republic of Korea.

  15. Tracy Weyand (co-advising with Gregory Berkolaiko), ZEROS OF EIGENFUNCTIONS OF THE SCHOEDINGER OPERATOR ON GRAPHS AND THEIR RELATION TO THE SPECTRUM OF THE MAGNETIC SCHROEDINGER OPERATOR, Texas A&M University 2014. Currently postdoc at Baylor UNiversity.

  16. Ngoc T. Do, Some spectral problems of mathematical physics, Texas A&M University 2016. Currently postdoc at U. Arizona.

  17. Minh Kha, Spectral edge properties of periodic elliptic operators, Texas A&M University 2017. Currently postdoc at U. Arizona.

  18. Fatma Terzioglu, current student, graduating in 2018.

  19. Jimmy Corbin, current student.

  20. Weston Baines, current student.

Advised on two Masters Theses:

  1. A. Panchenko, John's equation and the range of the exponential Radon transform, 1996. Wichita State University, Wichita KS. Currently Associate Prof. at Washington State Univ. after receiving a PhD from the Univ. of Delaware.

  2. W. Axmann, Computations of spectra of photonic crystals, 1998. Wichita State University, Wichita KS. Currently helds PhD in Physics from Kansas State Univ. and teaches at Wichita State Univ., KS.

Masters students graduating with no thesis:

  1. D. Meyers (2005)

  2. E. Rodriguez (2005)

  3. A. A. Olson (2015)

  4. Q. Q. Lin (2016)

Research and Education Grants

PI or Co-PI

Agency

Project title

Duration

PI

NSF (Mathematics, Classical Analysis)

Floquet Theory for Partial Differential Equations

1991 - 1993

PI

Wesley Foundation (currently Kansas Health Foundation)

New mathematical methods of correction and reconstruction in the medical SPECT imaging

1991 - 1994

PI

NSF EPSCOR (Applied Mathematics )

Some problems of integral geometry with medical and industrial applications

1992 - 1995

PI

NSF EPSCOR (Education)

Kansas Outreach School in Mathematics

1995 - 1996

PI

NSF (Applied Math.)

Photonic band-gap materials

1997 - 2000

PI

DEPSCoR (ARO)

Mathematical analysis of photonic band-gap materials

1997 - 2000

PI

NRC, COBASE (Cooperation in basic science and engineering with eastern Europe)

Spectral theory of periodic differential operators

1998

Co-PI

NSF

Midwest Geometry Conference

1998-2002

Co-PI

NSF EPSCoR (Equipment Grant)

Acquiring a high performance computer.

1999

PI

NSF (Applied Math.)

Band-gap Materials, Mesoscopic Structures, and Related Topics

2000 - 2003

Co-PI

BiNational Science Foundation USA-Israel

On representation of solutions of periodic elliptic equations and Liouville theorems

2000 - 2003

PI

National Science Foundation

Various Inverse Problems in Partial Differential Equations and Methods for their Solutions

2002 - 2003

PI

National Science Foundation

Quantum Graphs and Their Applications

2004 - 2007

PI

National Science Foundation

Quantum Graphs and Their Applications - supplement

2005 - 2006

PI

Texas A&M University

Grant for developing a honors course on Mathematical Biology

2005 - 2006

PI

National Science Foundation

Mathematical Methods of Novel Modalities of Medical Imaging

2006 - 2010

PI

National Science Foundation

Mathematical Methods of Novel Modalities of Medical Imaging, student supplement

2006 - 2010

co-PI

National Science Foundation and DHS DNDO

A Framework for Developing Novel Detection Systems Focused on Interdicting Shielded HEU

2007 - 2012

co-PI

National Science Foundation

Transition Points for High School and Undergraduate Mathematics Students

2008 - 2013

PI

National Science Foundation

Analysis on Graphs and its Applications (conference support for the 2007 Isaac Newton Institute program)

2007 - 2008

PI

National Science Foundation

Collaborative research: Mathematical Techniques for Emerging Methods in Biomedical Imaging

2009 - 2012

Co-PI

DOE/DHS

Nuclear Forensics Education Program

2009-2012

PI

National Science Foundation

Special Meetings: "Analysis on Graphs and its Applications", Cambridge, UK, July 2010.

2010-2011

PI

National Science Foundation

Collaborative research: Mathematical problems of biomedical and homeland security imaging.

2012-2018


PI

National Science Foundation

Spectral problems of mathematical physics with applications to optics and material science

2015-2018


C0-PI

College of Science, Texas A&M Univrsity

Novel directional neutron monitor for national security, basic science and industrial applications.

2017-2018


Recent honors and awards

Professional Membership

American Association for the Advancement of Science (Fellow), American Mathematical Society (Fellow, Life Member), American Physical Society, Institute of Physics (Fellow), IEEE (Senior Member), International Association of Mathematical Physics (Life Member), Mathematical Association of America, Society for Industrial and Applied Mathematics, National Association of Mathematicians (Life Member) Pi Mu Epsilon.

Professional Service

Departmental Service

Hobbies

Books, music, travel.

Citizenship

Citizen of the USA

Link to the complete list of publications (books, papers, and lecture notes for students)

Citations in Google Scholar

Recent books: in press and in preparation (see also my Amazon author's page)

Survey articles and chapters since 2001:

Conferences organized

Selected Professional Speeches and Presentations

In the past several years numerous invited and contributed talks were presented at international and national meetings and at universities in Australia, Austria, Canada, Chile, China, Czech Republic, France, Germany, India, Israel, Italy, Japan, New Zealand, South Korea, Sweden, Turkey, UK, and USA. Among the recent ones:

  1. Mini-course at the Young Researchers School on Image Processing and Computer Vision, Tuebingen, Germany. July 24-26, 2017
  2. Plenary lecture at the International Workshop Quantitative Tomographic Imaging>, Linz, Austria. July 13-14, 2017.
  3. Plenary lecture at "Complex Affine Geometry, Hyperbolicity, Complex Analysis", Fourier Institute, Grenoble. October 24-28 2016.
  4. Plenary lecture at "QMath 13" conference, Atlanta, GA. 8 - 11 October 2016.
  5. Plenary lecture at "From Quantum Chaos to Graphs and Spectral Patterns", Weizmann Institute, Israel. 11 - 16 September 2016.
  6. A mini-course of 6 lectures on periodic operators at Introductory School - Periodic, Almost-Periodic, and Random operators, 5 - 16 January 2015, Isaac Newton Institute for Math SCiences, Cambridge, UK.
  7. A mini-course of 5 lectures on hybrid imaging at Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems, Tata Inst. Fund. Res. Centre for Applicable Mathematics (TIFR CAM), Bangalore, India June 16 - 28, 2014.
  8. Invited lecture at AIMR (Adv. Inst. for Materials Research) International Symposium 2014 (AMIS2014), Tohoku University, Sendai, Japan. February 17-19, 2014.
  9. Invited lecture at Mathematiques pour le graphene, Grenoble, France. October 14-15, 2013.
  10. Course of 4 lectures "Spectral theory of operators with periodic coefficients," CEA-EDF-INRIA School "Waves in periodic media: mathematical and numerical aspects," Ecole Polytechnique, April 15th-20th 2013.

  11. "Hybrid imaging methods," Interdisciplinary workshop Inverse Problems, Schlumberger WesternGeco, Houston, 11/12 -- 11/14 2012

  12. MASS (Mathematics Advanced Study Semesters) Colloquium “Seeing Invisible: Mathematics of Medical Imaging”, Penn State Univ., Nov. 8, 2012

  13. Colloquium “A nodal count mystery”, Penn State Univ., Nov. 8, 2012

  14. Featured speaker (10 lectures) at the CBMS-NSF Conference "Mathematical Methods of Computed Tomography", Univ. of Texas Arlington, May 27 - June 1, 2012.

  15. A mini-course "Can one hear the heat of a body?" at the International Workshop "Analysis, Operator Theory, and Mathematical Physics," Ixtapa, Mexico, January 23 - 27, 2012.

  16. Invited lecture "Integral geometry and microlocal analysis in hybrid imaging methods", Geometric Analysis on Euclidean and Homogeneous Spaces (in Honor of Sigurdur Helgason's 85th Birthday), Boston, 8-9 January 2012.

  17. Invited lecture "A nodal domain count mystery", MAA Invited Paper Session on Decoding Geometry, at the Joint Math. Meetings, Boston, January 4-7, 2012.

  18. Invited lecture "Nodal counts of billiard eigenfunctions and critical partitions", The 4th Cornell Conference on Analysis and Probability on Fractals, Cornell University, September 10-13, 2011.

  19. Invited lecture "Ultrasound Modulated Imaging Modalities", Session on Hybrid Methods in Medical Imaging, at the ICIAM (Int. Congr. Industr. Appl. Math.), Vancouver, July 18-22, 2011.

  20. Invited lecture "Hybrid methods of medical imaging", Applied Inverse Problems conference, Texas A&M University, May 2011.

  21. 2 Invited lectures "Tomographic methods in Imaging, I, II", Pre-conference workshop, Applied Inverse Problems conference, Texas A&M University, May 2011.

  22. Invited lecture "Ultrasound Modulated Imaging Modalities", at AMS Special Session on "Inverse Problems and PDE Control", at the Joint International Meeting Pucon, Chile, December 15-18, 2010.

  23. Invited lecture "Parseval frames of exponentially decaying Wannier functions" at Missouri-Illinois Harmonic Analysis workshop, October, 2010, U. Illinois Urbana-Champaign.

  24. Series of 4 invited lectures on novel hybrid methods of imaging, Introductory Workshop on Inverse Problems and Applications, August 23-27, 2010, MSRI, UC Berkeley.

  25. Invited lecture "Parseval frames of exponentially decaying Wannier functions" at Spectral Geometry workshop, July 19-23, 2010, Dartmouth College.

  26. Series of 9 invited lectures on integral geometry and tomography, June 26th - July 10th, 2010, University of Washington, Seattle.

  27. Invited lecture "Detection of small low emission radiation sources" at the workshop Inverse Transport Theory and Tomography, BIRS, Banff, May 16-21, 2010.

  28. Invited Colloquium Lecture "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", Math. Dept., SMU, Dallas, November 18th, 2009.

  29. Invited Lecture "Survey of mathematics of thermoacoustic tomography", Internat. Workshop "Mathematical Methods in Novel Modalities of Medical Imaging", Banff, Canada, October 2009.

  30. Invited Lecture "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", IAMCS workshop. May 2009, College Station, TX.

  31. Series of 4 invited lectures on Radon transform and its applications, Graduate Workshop on Inverse Problems and Applications, July 26-30, 2009, MSRI, UC Berkeley.

  32. Invited Lecture "On reconstructions in thermoacoustic tomography" at the international conference on Integral Geometry and Tomography, Stockholm University, Sweden, August 12-15, 2008

  33. Invited Lecture "Mathematical problems of thermoacoustic tomography" at the international conference Inverse Problems: Modeling and Simulation, Oludeniz-Fethiye, Mugla, Turkey, May 26 - 30, 2008.

  34. Invited Applied Math Colloquium "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", MIT, Cambridge, MA, April 2008

  35. Invited Colloquium "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", Tufts University, Medford, MA, April 2008

  36. Invited Lecture "Mathematical problems of thermoacoustic tomography. " at the Special Session on Radon Transforms, Tomography, and Related Geometric Analysis, Amer. Math. Soc. meeting, Louisiana State University, Baton Rouge, LA, 28 - 30 March 2008.

  37. Invited Lecture "Mathematical problems of thermoacoustic tomography" at the international "Biomedical imaging" workshop, Radon Inst., Linz, Austria, November 2007.

  38. Invited Lecture "Liouville theorems for periodic equations on abelian coverings" at the international conference "Spectral Analysis in Geometry and Number Theory", Nagoya, Japan, August 2007.

  39. Invited Lecture "Low dimensional models for wave propagation in thin structures" at the international school "Complex optics in mesoscopic materials", Erice, Sicily, Italy, July 2007.

  40. Invited Lecture "Analysis on graphs and its applications", Correspondents Meeting, Isaac Institute for Math. Sciences, Cambridge, UK, June 2007.

  41. Invited Lecture "On Representations of Solutions of Periodic Elliptic Equations on Abelian Coverings" at the international conference "Partial Differential Equations and Spectral Theory" dedicated to the 85th birthday of S. Agmon, Hebrew Univ., Jerusalem, Israel, Jan. 28 - Feb. 2, 2007.

  42. Series of four invited lectures "Introduction to quantum graphs", workshop "Analysis on graphs and its applications" by the Newton Institute and London Math. Soc., Gregynog, Wales, UK, January 2007.

  43. Invited lecture at the Autumn School on Analysis, Simulation and Design of nanotechnological processes, Department of Mathematics, University of Karlsruhe, Karlsruhe, Germany, 17 - 20 October 2006.

  44. Keynote lecture "Some mathematical problems of nano-technology" at the Opening Ceremony of the Graduate School on Analysis, Simulation and Design of nanotechnological processes, Univ. Karlsruhe, Germany, 17 - 20 October 2006.

  45. Invited lecture at the international workshop Inverse Problems and Applications, Banff International Research Station, August 19 - August 24, 2006.

  46. Invited lecture at the international workshop Mathematical Methods in Tomography, Mathematisches Forschungsinstitut Oberwolfach, July 30 - August 5, 2006.

  47. Invited lecture at the program Spectral Theory and Partial Differential Equations, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 17 July - 11 August 2006.

  48. Invited lecture at the International Conference on Analysis and Applications, University of Science and Technology of China and City University of Hong Kong, Hefei, China, June 28 - 30, 2006.

  49. Invited mini-symposium talk at SIAM Conference on Imaging Science, IMA, May 15-17, 2006

  50. A course of 6 lectures on "Photonic crystal theory" at the Mathematics Department, Seoul National University, March 2006.

  51. Invited lecture at New Mathematics and Algorithms for 3-D Image Analysis, IMA, January 9-12, 2006

  52. Plenary talk at 2005 New Zealand Mathematics Colloquium, Massey University, Palmerston North, New Zealand, December 5 - 7, 2005.

  53. Invited lecture at 2005 Special Session on New Directions in Spectral Theory and Geometric Analysis, AMS Meeting, Eugene, OR, November 12-13, 2005.

  54. Invited lecture at Geometric and Probabilistic Methods in Group Theory and Dynamical Systems,Texas A&M,3 - 6 November 2005

  55. Plenary lecture at Multi-scale problems: modelling, analysis and applications, University of Bath, 12th - 14th September 2005

  56. Invited seminar talk "Circular Radon transform, theormoacoustic tomography, and all that" at University of Bath 17th September 2005.

  57. Invited lecture at the international workshop Geometrical Aspects of Spectral Theory Matrei, East Tirol, Austria July 1-12, 2005.

  58. Invited lecture at MolchanovFest, Probability and Mathematical Physics, A Conference in Honor of Stanislav Molchanov's 65th Birthday, Centre de Recherches Mathematiques, Montreal June 27- July 1, 2005.

  59. Invited lecture at the AMS Short Course on Radon Transform and its Applications to Inverse Problems, Atlanta, GA, January 2005.

  60. Invited lecture at the NanoPhysics section of the international conference QMath9 (Mathematical results of Quantum mechanics), September 2004, Giens, France.

  61. Series of 6 invited lectures at the Inverse Problems special year, Univ. Helsinki, May 2004.

  62. Invited lecture at the international conference Inverse Problems: Results and Perspectives, Univ. Helsinki, May 2004.

  63. Invited talk at the Annual Meeting of the Israel Math. Union, May 2004.

  64. Invited lecture at the Inverse Problems workshop at IPAM, November 2003.

  65. Plenary address at the 24th Annual Southeastern-Atlantic Regional Conference on Differential Equations, Univ. of Tennessee at Chattanooga, October 22 - 23, 2004.

  66. Plenary address at the AMS Meeting in Binghampton, NY, October 2003.

  67. Invited mini-course at the Pan-American Advanced Studies Institute (PASI) on Partial Differential Equations, Inverse Problems and Non-Linear Analysis, January 6-18, 2003, Universidad de Chile, Santiago, Chile.

  68. Invited lecture at the Mittag-Leffler Institute, Stockholm, Sweden, November 2002.

  69. Invited talk at the PECS-IV: International Workshop on Photonic and Electromagnetic Crystal Structures (Jointly Sponsored By PECS-IV and IPAM), UCLA, Los Angeles, CA, October 28-31, 2002.

  70. Invited lecture at the International Workshop Guided Quantum Particles: from Mathematics to Mesoscopics, Nuclear Physics Institute, Academy of Sciences, and Doppler Institute for Mathematical Physics, Prague, Czech Republic, June 9-15, 2002.

  71. Plenary address at the 3rd International Congress of ISAAC (Internat. Soc. Anal. Appl. Comp), Berlin, August 2001.

Educational activities

August 21, 2017