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: /~kuchment

Field

Pure and Applied Mathematics, Math. Education

• Partial Differential Equations and Mathematical Physics

• Integral Geometry

• Applications to Computerized Tomography, Biomedical Imaging, Homeland security.

• Geometric Analysis

• Photonic crystal theory.

• Quantum Graphs with applications to mathematical modeling of meso- and nano-scale structures.

• Data science

• Enhancement of K-12 education

Education

Experience

Courses taught (* indicates at Texas A&M)

1. Introduction to Contemporary Mathematics ("For All Practical Purposes") *

2. Trigonometry

3. Horizons of Mathematics *

4. Calculus Sequence *

5. Advanced Calculus

6. Ordinary Differential Equations *

7. Introduction to Mathematical Biology *

8. Engineering Mathematics *

9. Complex Analysis *

10. Linear Algebra *

11. Numerical Linear Algebra

12. Applied Linear Algebra *

13. Mathematical foundations of data science *

14. Partial Differential Equations *

15. Numerical Partial Differential Equations

16. Functional Analysis

17. Theory of Distributions and Fourier Analysis *

18. Topology

19. Applied Algebraic Topology *

20. Microlocal Analysis and Pseudodifferential Operators *

21. Computerized Tomography

22. Mathematical Techniques of Medical Imaging *

23. Inverse problems and imaging *

24. Periodic Ordinary and Partial Differential Equations and their Applications *

25. Mathematics of data science *

26. Spectral Theory and its Applications *

27. Probability and Statistics

28. Classical Mechanics *

29. Classical Field Theory and Special Relativity

30. Mathematics introduction to topological insulators *

31. Teaching undergraduate mathematics *

32. Writing, presenting, and teaching mathematics. *

Graduate Advising

Advised on 21 Ph.D. Dissertations:

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 a Full 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 Full 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 Associate 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 Associate 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 Assoc. Prof. Kyungpook National University, 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 Assoc. Prof. at Rose-Hulman Institute of Technology UNiversity.

16. Ngoc T. Do, Some spectral problems of mathematical physics, Texas A&M University 2016. Currently Assistant prof. Missouri State U.

17. Minh Kha, Spectral edge properties of periodic elliptic operators, Texas A&M University 2017. Currently data science researcher in Vietnam.

18. Fatma Terzioglu, Compton camera imaging and the cone transform, Texas A&M University 2018. Winner of the SIAM student researcg paper award 2017.Since September 2018 Kruskal Instructor at University of Chicago. Currently Assistant professor at North Carolina State University.

19. Jimmy Corbin, Convergence of Neumann Laplacians ofn Fattened Oben Book Structures, Texas A&M University 2019.

20. Weston Baines, INVERSE PROBLEMS ARISING IN MEDICAL, LIDAR, AND HOMELAND SECURITY IMAGING, Texas A&M University 2022. Since 2022 Researcher at the National Geospatial Research Laboratory

21. Hatice Pekmez, current student

Advised seven postdocs

Hosted several international visitors from China, Japan, Turkey

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. P. Hoskins (2015)

5. Q. Q. Lin (2016)

6. William Boyer (2021)

7. Julia West (2022)

8. Julianna Adubato (2023)

9. Brittany Vandermark (2023)

10. JOhn Harvey (2023)

Currently advising five Masters students

Research and Education Grants

Honors and awards

• Distinguished Rotschild Visiting Fellow at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 2023.

• Fellow of American Physical Society, 2021.

• John von Neumann Visiting Professor, Munich, Germany, 2019.

• Fellow of Society for Industrial and Applied Mathematics, 2018.

• Fellow of American Association for Advancement of Science, 2015.

• Senior member of Inst. Electr. and Electronics Eng., 2015.

• Fellow of the American Mathematical Society, 2013

• Featured speaker, CBMS-NSF conference "Mathematical techniques of medical imaging," University of Texas, Arlington, May 2012.

• University Distinguished Professor, Texas A&M University, 2011

• Fellow of the Institute of Physics, 2009

• Paper "Tight frames of exponentially decaying Wannier functions", J. Phys. A: Math. Theor. 42 (2009) was chosen as IOP (Inst. of Physics) Select Paper. 2009

• Texas A&M Department of Mathematics Outstanding Teaching Award, 2008.

• Texas A&M Association of Former Students College Level Tecahing Award, 2008.

• Member of Clare Hall college, University of Cambridge, 2007

• Joint paper with M. Agranovsky "Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography", Inverse Problems 23 (2007) was selected by the Editorial Board for the 2007 highlights.

• Texas A&M Department of Mathematics Outstanding Service Award, 2005.

Professional Membership

American Association for the Advancement of Science (Fellow), American Mathematical Society (Fellow, Life Member), American Physical Society (Fellow, Life Member), Association for Mathematics Research (Founding Member), Institute of Physics (Fellow), Inst. Electr. Eelectron. Eng. (Senior Member), International Association of Mathematical Physics (Life Member), Mathematical Association of America, Society for Industrial and Applied Mathematics (Fellow), National Association of Mathematicians (Life Member), Academic Freedom Association.

Professional Service

• Member, A&M University Distinguished Professor selection Committe, 2012 - .

• Chair, SIAM Imaging Sciences Prizes Committee, 2015 - 2016.

• Faculty adviser, SIAM student Chapter, Texas A&M, 2015 - 2021.

• Vice Chair, SIAG (imaging science) group, SIAM, 2014 - 2016.

• Member of the Editorial Boards:

• Bulletin of the American Math. Soc., AMS, 2006 - .

• Reviews of the Assoc. Math. Res. (AMR), 2022 - .

• Fractal Geometry, Springer, 2013 - .

• Journal of Mathematical Imaging and Vision, Springer, January 2024 - - .

• SIAM J. Imaging Science, SIAM, 2018 - 2023.

• Analysis and Mathematical Physics, Birkhauser, 2010 - 2022.

• Panel Member, "Cultivating Mathematical Interest and Talent of Precollege Students: Outreach through Summer Math Camps and Academies", Joint Mathematics Meetings, San Francisco, January 13th 2010.

• Inverse Problems core leader and member of the Executive Committee, IAMCS (Institute ofr Applied Mathematics and Computational Science) at Texas A&M University, June 2008 - December 2009.

• Bulletin of the AMS (Editorial Board for Book Reviews): Chair, 01/2012 -,  Member, 01/2005-12/2011.

• Co-Organizer, the semester program "Inverse Problems" at MSRI, Berkeley, CA. July - december 2009.

• Judge, SIAM student paper contest, 2008.

• Co-Organizer, the semester program "Analysis on graphs and its applications" at The Isaac newton Institute for Mathematical Studies, Cambridge, UK. Jan-June 2007.

• Editor of eleven volumes and two special journal issues. Translator of one book.

• Member of the AMS Committee on Education, February 2000 - January 2003

• Co-organizer Focus group discussion, AMS Annual Meeting, New Orleans, January 2001.

• Member of the AMS Committee on Meetings and Conferences, February 2000 - January 2001

• Referee for: Comm. Math. Phys.; Comm. PDEs; GAFA; Inverse Problems; JAMS; J. Approx. Theory; J. Comput. Physics; J. Theor. Probability; J. d'Analyse; J. Fourier Analysis; J. Math. Anal. and Appl.; J. Operator Theory and Integral Equations; J. Optics; J. Physics; Medical Physics; Memoirs of the AMS; PhysRev; SIAM J. Appl. Math.; SIAM J. Math. Anal.; SIAM J. Imaging Sci.; Transactions of the AMS; IEEE Optics Lett.; IEEE Trans. Med. Imaging; IEEE Trans. Microwave Theory and Techniques, and others.

• Proposal reviewer and member of several panels during the past several years for NSF, DOD, DOE, SPSRC (UK analog of NSF), European Research Council, Isaac Newton Inst. Math. Sci. (Cambridge, UK), ISF (Israel Scie. Found.), Research Grants Council of Hong Kong, Binational Science Foundation USA-Israel, L'Agence Nationale de la Recherche (France), German Research Foundation, New Eurasia Foundation (Russia).

Departmental Service

• Member since 2011, Chair since 2022 of the departmental Distinguished professor Committee.
• Organizer of the Industrial and Applied Mathematics Seminar, 2018 - 2021.
• Co-organizer of the Math Physics, Differential Equations, and Harmonic Analysis seminar, 2008 - present.
• Faculty adviser of the TAMU Student SIAM Chapter, 2015 - 2021.
• Member of the Outreach Committee, 2016 - present.
• Chair Organizer of the departmental mathematics library. Chair of the Library Committee, 2016 - present.
• Member of the Endowed Professorship Committee, 2011 - 2021.
• Member and then Chair of the T&P sub-Committee, 2017 - 2018.
• Member of the Executive Committee, 2012 - 2014.
• Member of the Awards Committee, 2010 - 2012.
• Chair of the Outreach Committee, 2008 - 2009.
• Member of the Sub-Committee P, 2008, Chair 2009..
• Chair of the Talent Search Committee, 2005 - 2008.
• Member of the Graduate Committee, 2004 - 2006.
• Mentoring 7 postdocs: E. Chappa (2002-2005), J. Harrison, B. Winn 2004-2005 (the last two jointly with G. Berkolaiko and S. Fulling), A. Skripka (2007 - 2010, jointly with K. Dykema), L. Simeonova (2009 - 2010, jointly with W. Rundell), J. Vargo (2010 - 2013), D. Steinhauer (2010 - 2013).
• Co-organizer (with G. Berkolaiko and S. Fulling) of the special 2004-2005 year on mathematical physics and spectral theory.
• Chair of the Math Awareness Committee (2004-2008). Organized the Math Awareness Open House event, April 2004, 2005, 2006.
• Member of the Executive Committee, 2002 - 2004.
• Member of the Postdoc hiring committee 2001 - 2005.

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

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

1. Periodic Partial Differential Operators and Their Applications I. Elliptic Equations. The Main Structures, contract with Cambridge Univ. Press, to be submitted soon.

2. Periodic Partial Differential Operators and Their Applications II. Generalizations and Applications, in preparation.

3. Eclectic Notes on Harmonic Analysis, in preparation.

4. (with M. Agranovsky and Linh Nguyen) Spherical Mean Operators and their Applications, in preparation.

5. (Editor, with A. Golberg and D, Shoikhet), harmonic Analysis and Partial Differential Equations, in homnor of V. Maz'ya, Springer 2023.

6. (with Minh Kha) Liouville-Riemann-Roch Theorems on Abelian Coverings, Springer, 2021.

7. (Editor, with E. Semenov) Functional Analysis and Geometry. Selim Grigorievich Krein Centennial, Contemporary Math., AMS 2019.

8. (Editor, with E. Semenov) Differential Equations, Mathematical Physics, and Applications. Selim Grigorievich Krein Centennial, Contemporary Math., AMS 2019.

9. Radon Transform and Medical Imaging, NSF-CBMS series, SIAM (Soc. Industr. and Appl. Math.), 2014.

10. (with G. Berkolaiko) Introduction to Quantum Graphs, Amer. Math. Soc. 2013.

11. (Editor, with M. Braverman, L. Friedlander, T. Kappeler, P. Topalov, and J. Weitsman) Spectral theory and geometric analysis, Contemporary Mathematics v. 353, AMS 2011, 213pp.

12. (Editor, with G. Bal, D. Finch, et al.) Tomography and Inverse Transport Theory, AMS 2011

13. (Editor, with P. Exner, J. Keating, T. Sunada and A. Teplyaev) Analysis on Graphs and its Applications, Proc. Symp. Pure Math., AMS,2008.

14. (Editor, with G. Berkolaiko, R. Carlson, and S. Fulling) Quantum Graphs and Their Applications, Contemp. Math., v. 415, American Math. Society, Providence, RI 2006.

15. (Editor) Waves in Periodic and Random Media, Contemp. Math. v. 339, American Math. Society, Providence, RI 2004.

16. (Editor, with V. Lin) Voronezh Winter Mathematical Schools. Dedicated to Selim Krein, American Math. Society Transl., Ser. 2, v.184, AMS, Providence, RI 1998

17. (Editor, with M. Cheney and E.T. Quinto) Tomography, Impedance Imaging, and Integral Geometry, Lectures in Appl. Math., vol. 30, American Math. Society, Providence, RI 1994.

18. Floquet Theory for Partial Differential Equations, Birkhauser 1993.

Survey articles and chapters since 2001:

• Analytic and algebraic properties of dispersion relations (Bloch varieties) and Fermi surfaces. What is known and unknown, J. Math. Phys. 64 (2023), no. 11, Paper No. 113504, 11 pp.

• (with L. Kunyansky and F. Terzioglu) Compton camera imaging and the cone transform: a brief overview, Inverse Problems, 34 (2018), 054002

• An overview of periodic elliptic operators, Bulletin of the AMS, July 2016, pp. 1 - 72.

• (with O. Scherzer) Mathematical Methods in Photoacoustic imaging, Encyclopedia of Applied and Computational Mathematics, Springer Verlag 2015.

• Mathematics of Hybrid Imaging. A Brief Review, in I. Sabadini and D. Struppa (Editors) The Mathematical Legacy of Leon Ehrenpreis, Springer, 2012, pp. 183 - 208.

• (with L. Kunyansky) Mathematics of thermoacoustic and photoacoustic tomography, Chapter 19 in Vol. 2 of "Handbook of Mathematical Methods in Imaging", 1688 pp. ISBN: 978-0-387-92920-0, Springer Verlag 2010, pp.817 - 866.

• (with M. Agranovsky and L. Kunyansky) On reconstruction formulas and algorithms for the thermoacoustic and photoacoustic tomography, Ch. 8 in L. H. Wang (Editor) "Photoacoustic imaging and spectroscopy," CRC Press 2009, pp. 89-101.

• (with Y. Xu, L. Wang, G. Ambartsoumian), Limited view thermoacoustic tomography, Ch. 6 in L. H. Wang (Editor) "Photoacoustic imaging and spectroscopy," CRC Press 2009, pp. 61-73.

• Quantum graphs: an introduction and a brief survey, in "Analysis on Graphs and its Applications", Proc. Symp. Pure. Math., AMS 2008, pp.291 - 314.

• (with L. Kunyansky) Mathematics of thermoacoustic tomography, European J. Appl. Math., 19 (2008), Issue 02, 191-224

• Generalized Transforms of Radon Type and Their Applications, in G. Olafsson and E. T. Quinto (Editors), The Radon Transform, Inverse Problems, and Tomography, Proc. Symp. Appl. Math. v. 63, AMS, Providence, RI 2006, pp.67 - 91.

• On some spectral problems of mathematical physics, in Partial Differential Equations and Inverse Problems, C. Conca, R. Manasevich, G. Uhlmann, and M. S. Vogelius (Editors), Contemp. Math. v. 362, 2004

• Differential and pseudo-differential operators on graphs as models of mesoscopic systems, in Analysis and Applications, H. Begehr, R. Gilbert, and M. W. Wang (Editors), Kluwer Acad. Publ. 2003, 7-30.

• (with E. T. Quinto) Some problems of integral geometry arising in tomography, Ch. XI in "The Universality of the Radon Transform" by L. Ehrenpreis, Oxford Univ. Press, 2003.

• Graph models of wave propagation in thin structures, Waves in Random Media 12(2002), no. 4, R1-R24. Accessed (full text) on the journal's Web site 291 times in 2002.

• The Mathematics of Photonic Crystals, Ch. 7 in "Mathematical Modeling in Optical Science", Gang Bao, Lawrence Cowsar, and Wen Masters (Editors), Frontiers in Applied Mathematics v. 22, SIAM, 2001, 207 - 272.

Some Conferences (co-)organized

1. Co-organizer, Texas Analysis and Mathematical Physics Symposium, 2024

2. Member of the organizing Committee, ETOPIM (International Association for the science of electrical, transport and optical properties of inhomogeneous media) Conference, Krakow, Poland, 2018

3. Co-organizer, 100 Years of the Radon Transform, Linz, Austria. March 27-31, 2017.
4. Co-organizer, workshop Novel Optical Materials, IMA, Minneapolis. March 13-17, 2017.
5. Member of Scientific Committee, Operators, Operator Families and Asymptotics. 16-19 May 2016, University of Bath, UK.
6. Co-organizer, Spectral Theory of Novel Materials, April 18 - 22 2016. Centre International de Rencontres Mathematiques, Marseille, France.
7. Co-organizer, "Mathematical Approach to Topological Phase in Spintronics", October 2015, Tohoku University, Sendai, Japan.
8. Co-organizer, Mathematics of Novel Materials, 1 - 5 June, 2015, Mittag-Leffler Institute, Stockholm, Sweden.
9. Co -organizer Workshop "Hybrid methods in imaging", Banff, June 2015.

10. Member of the scientific committee of the International Conference Applied Mathematics, Modeling and Computational Science (AMMCS), Waterloo, Canada, August 26-30, 2013

11. Mini-symposium “spherical mean transform and related topics” co-organizer, International conference “Applied Inverse Problems”, July 1-5, Daejeon, Korea.

12. Member of scientific committee, International conference “Complex analysis and dynamical systems. VI”, May 19-24 2013, Nahariya, Israel.

13. Co-chair of the SIAM Imaging Meeting, Philadelphia, PA, May 2012.

14. Member of the Organizing Committee (with W. Rundell, R. J Carroll, M. Jaoua, L. Paivarinta, O. Scherzer, J. Schotland, G. Uhlmann, M. Yamamoto, J. Zou) of the international conference “Applied Inverse Problems”, Texas A&M University, May 2011.

15. Member of the organizing Committee (with G. Uhlmann (U. Wash.), M. V. van de Hoop(Purdue Univ.), C. Koenig (U. Chicago), L. Paivarinta (Univ. Oulu), M. Zworski (Berkeley), L. Borcea (Rice)) "Inverse problems" semester program, MSRI, Berkeley, August 16 to December 17, 2010.

16. Co-organizer (with M. Brown (U. Cardiff), P. Exner (Dopler Inst., Prague), and T. Sunada (Meiji Univ., Tokyo)) of the workshop "Analysis on Graphs", Cambridge Univ., July 2010.

17. Co-organizer (with D. Lagoudas, R. Lipton, and J. Walton) of the IAMCS workshop "Multi-Scale Materials Modeling: Nano-Scale to Macro-Scale Materials Modeling and Hybrid Theories", Texas A&M, December 2-3 2009.

18. Chair of the organizing Committee (with D. Finch (Oregon St.), J. Schotland (UPenn), Y. Xu (Ryerson Univ., Canada)), "Mathematical Methods in Novel Modalities of Medical Imaging", Banff, Canada, October 2009.

19. Co-organizer (with G. Berkolaiko (Texas A&M), J. Harrison, and K. Kirsten (Baylor Univ.)) of the section "Analysis on Graphs and Singular Manifolds" at the Amer. Math. Soc. Meerting, Baylor Univ., October 2009.

20. Co-organizer (with N. Datta (U. Cambridge)) of the section "Non-relativistic quantum mechanics and quantum computation" at the Congress of the Internat. Soc. of Math. Physics, Prague, August 2009.

21. Member of the organizing Committee (with M. Braverman (Northeastern), L. Friedlander (U. Arizona), T. Kappeler (Lousanne), J. Weitsman (Northeastern)), "Spectral theory and geometric analysis", Northeastern Univ., Boston, July 2009.

22. Organizer, Mini-symposium on "Novel methods of medical imaging" at the Soc. Ind. and Appl. Math. Life Sciences conference, Montreal, August 2008.

23. Co-organizer (with T. Sunada, B. M. Brown, Y. Colin de Verdiere, R. Grigorchuk, and A. Teplyaev), Workshop on "Analysis on Graphs and Fractals", University of Wales, Cardiff, UK. May 27th - June 1st 2007.

24. Organizer, Workshop on "Quantum Graphs, their Spectra and Applications", Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, April 2 - 5 2007.

25. Co-organizer, AMS Special Session on Radon Transform and Tomography, January 2007, New Orleans, LA.

26. Member of the Organizing Committee of the 6 month program "Analysis on Graphs and its Applications" at the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 8 January - 29 June 2007.

27. Chair of the Organizing Committee of the Joint Summer Research Conference in the Mathematical Sciences "Quantum Graphs and Their Applications", Snowbird, UT, June 18 -- June 24, 2005.

28. Co-organizer of the Joint Summer Research Conference in the Mathematical Sciences "Mathematical Modeling of Novel Optical Devices", Snowbird, UT, June 11 -- June 18, 2005.

29. Organizer of the special 2004-2005 year on spectral theory and mathematical physics at Texas A&M.

30. Organizer of a mini-workshop on Mathematical Analysis of Photonic Devices, Texas A&M Univ., May 2003.

31. Co-Organizer of the Special Session on Inverse problems and Tomography at the AMS Meeting, Binghamton, NY, October 2003.

32. Organizer of the Section on Spectral Theory and Wave Propagation at the 2002 UAB International Conference on Differential Equations and Mathematical Physics, Birmingham, Alabama, March 26-30, 2002.

33. Organizer of the Joint Summer Research Conference on Waves in Periodic and Random Media, South Hadley, MA, 2002.

34. Organizer of the 11th Midwest Geometry Conference, April 2001.

35. Co-organizer of the Joint Summer Research Conference on Integral Geometry, Tomography, and Impedance Imaging, South Hadley, MA, June 1993.

Selected Professional Speeches and Presentations

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

1. Distinguished Rotschild Lecture at the Isaac Newton Institute, Cambridge University, UK 2023.
2. Plenary lecture at the international meeting "Learning from Insulatore", Lorentz Institute, Leiden, Holland 2022.
3. Mini-course at the Young Researchers School on Image Processing and Computer Vision, Tuebingen, Germany. July 24-26, 2017
4. Plenary lecture at the International Workshop Quantitative Tomographic Imaging>, Linz, Austria. July 13-14, 2017.
5. Plenary lecture at "Complex Affine Geometry, Hyperbolicity, Complex Analysis", Fourier Institute, Grenoble. October 24-28 2016.
6. Plenary lecture at "QMath 13" conference, Atlanta, GA. 8 - 11 October 2016.
7. Plenary lecture at "From Quantum Chaos to Graphs and Spectral Patterns", Weizmann Institute, Israel. 11 - 16 September 2016.
8. 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.
9. 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.
10. Invited lecture at AIMR (Adv. Inst. for Materials Research) International Symposium 2014 (AMIS2014), Tohoku University, Sendai, Japan. February 17-19, 2014.
11. Invited lecture at Mathematiques pour le graphene, Grenoble, France. October 14-15, 2013.

12. 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.

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

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

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

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

17. 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.

18. 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.

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

20. 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.

21. 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.

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

23. 2 Invited lectures "Tomographic methods in Imaging, I, II", Pre-conference workshop, Applied Inverse Problems conference, Texas A&M University, May 2011.

24. 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.

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

26. 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.

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

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

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

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

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

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

33. 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.

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

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

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

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

38. 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.

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

40. 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.

41. 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.

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

43. 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.

44. 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.

45. 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.

46. 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.

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

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

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

50. 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.

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

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

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

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

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

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

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

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

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

60. 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.

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

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

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

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

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

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

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

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

69. 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.

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

71. 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.

72. 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.

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

Educational activities

• Since coming to the Texas in 2021, I have taught classes from 100 through 600 levels on 25 different topics. Among these, I created 11 (also at all levels), including the liberal arts major class 167, the first run of the undergraduate math biology class,, variety of applied classes, as well as two graduate profession preparation/pedagogy classes.

• Organizer and main lecturer (2008-2013) and Director, then co-Director (2008 - 2020) of the High School Math Summer Camp at Texas A&M.

• Organizer, and then Chair, Member of the Outreach Committee (Texas A&M) 2008 - current.

• Judge, SIAM student paper contest, 2008.

• Chair of the Talent Search Committee (Texas A&M) 2005 - 2008.

• Teaching at the Summer Educational Enrichment in Math program for middle school students, TAMU, 2002-2005, 2008.

• The Organizer (2002) and then Chair, Member of the Math Awareness Committee (Texas A&M) 2003- current, with some interruptions..

• Author of several booklets for SMART Camp and KOSM students (see publications)

• Organizer (1994-1995) and teacher (1994-2001) of the Math Club for middle school students.

• Organizer (1994) and the Head of the Committee (1994 - 2001) of the Kansas Outreach School in Mathematics (KOSM), a program for middle and high school students.