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 nanoscale structures.
Enhancement of K12 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 
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 
19932001 
Professor 
Mathematics and Statistics Dept., Wichita State University, Wichita, KS, USA 
19901993 
Associate Professor 
same Department 
1985 1989 
Professor 
Math. Departments, State University and Forestry Institute, Voronezh, USSR 
19871989 
Chairman 
Math. Department, Forestry Institute, Voronezh, USSR 
19761984 
Associate Professor 
same Department 
19721975 
Assistant Professor 
same Department 
19711972 
Math. Teacher 
High school, Voronezh, USSR 
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 
Introduction to Contemporary Mathematics ("For All Practical Purposes")
Trigonometry
Calculus Sequence
Advanced Calculus
Ordinary Differential Equations
Introduction to Mathematical Biology
Engineering Mathematics
Complex Analysis
Linear Algebra
Numerical Linear Algebra
Partial Differential Equations
Numerical Partial Differential Equations
Functional Analysis
Theory of Distributions and Fourier Analysis
Topology
Microlocal Analysis and Pseudodifferential Operators
Computerized Tomography
Mathematical Techniques of Medical Imaging
Periodic Ordinary and Partial Differential Equations and their Applications
Spectral Theory and its Applications
Probability and Statistics
Classical Mechanics
Classical Field Theory and Special Relativity
V.Sviridov, Some problems of the theory of periodic differential equations, 1986, Voronezh, USSR. Currently an Assoc. Prof. at the Polytechnic Univ., Kursk, Russia.
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.
L.Solomatina, Some problems on invariant differential equations on Riemannian symmetric spaces, 1990, Voronezh, USSR. Currently an actuary in Moscow, Russia.
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.
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.
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.
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.
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.
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.
BengSeong Ong, Spectral Problems of Optical Waveguides and Quantum Graphs, 2006, Texas A&M University, College Station, TX. Currently at the geophysics company Veritas, Houston.
Yulia GeorgievaHristova, 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.
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.
Moritz Allmaras (coadvising 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.
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.
Tracy Weyand (coadvising 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.
Ngoc T. Do, Some spectral problems of mathematical physics, Texas A&M University 2016. Currently postdoc at U. Arizona.
Minh Kha, Spectral edge properties of periodic elliptic operators, Texas A&M University 2017. Currently postdoc at U. Arizona.
Fatma Terzioglu, current student, graduating in 2018.
Jimmy Corbin, current student.
Weston Baines, current student.
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.
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.
D. Meyers (2005)
E. Rodriguez (2005)
A. A. Olson (2015)
Q. Q. Lin (2016)
PI or CoPI 
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 bandgap materials 
1997  2000 
PI 
DEPSCoR (ARO) 
Mathematical analysis of photonic bandgap materials 
1997  2000 
PI 
NRC, COBASE (Cooperation in basic science and engineering with eastern Europe) 
Spectral theory of periodic differential operators 
1998 
CoPI 
NSF 
Midwest Geometry Conference 
19982002 
CoPI 
NSF EPSCoR (Equipment Grant) 
Acquiring a high performance computer. 
1999 
PI 
NSF (Applied Math.) 
Bandgap Materials, Mesoscopic Structures, and Related Topics 
2000  2003 
CoPI 
BiNational Science Foundation USAIsrael 
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 
coPI 
National Science Foundation and DHS DNDO 
A Framework for Developing Novel Detection Systems Focused on Interdicting Shielded HEU 
2007  2012 
coPI 
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 
CoPI 
DOE/DHS 
Nuclear Forensics Education Program 
20092012 
PI 
National Science Foundation 
Special Meetings: "Analysis on Graphs and its Applications", Cambridge, UK, July 2010. 
20102011 
PI 
National Science Foundation 
Collaborative research: Mathematical problems of biomedical and homeland security imaging. 
20122018

PI 
National Science Foundation 
Spectral problems of mathematical physics with applications to optics and material science 
20152018

C0PI 
College of Science, Texas A&M Univrsity 
Novel directional neutron monitor for national security, basic science and industrial applications. 
20172018

Fellow of AAAS, 2015.
Senior member of IEEE, 2015.
Fellow of the American Mathematical Society, 2013
Featured speaker, CBMSNSF 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
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.
Chair, SIAM Imaging Sciences Prizes Committee, 2015  present.
Faculty adviser, SIAM student Chapter, Texas A&M, 2015  present.
Vice Chair, SIAG (imaging science) group, SIAM, 2014  2016.
Member of the Editorial Boards:
Bulletin of the American Math. Soc., AMS, 2006  .
Analysis and Mathematical Physics, Birkhauser, 2010  .
Fractal Geometry, Springer, 2013  .
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, 01/200512/2011.
Judge, SIAM student paper contest, 2008.
Editor of seven AMS volumes and one special journal issue.
Member of the AMS Committee on Education, February 2000  January 2003
Coorganizer 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 USAIsrael, L'Agence Nationale de la Recherche (France), German Research Foundation, New Eurasia Foundation (Russia).
Books, music, travel.
Citizen of the USA
Floquet Theory for Partial Differential Equations, Birkhauser 1993.
(with G. Berkolaiko) Introduction to Quantum Graphs, Amer. Math. Soc. 2013.
Radon Transform and Medical Imaging, NSFCBMS series, SIAM (Soc. Industr. and Appl. Math.), 2014.
Periodic Partial Differential Equations and their Applications, in preparation.
(with M. Agranovsky and L. Nguyen) Spherical Mean Operators and their Applications, in preparation
(with Minh Kha), LiouvilleRiemannRoch theorems on abelian coverings, in preparation.
(Editor, with E. Semenov) Professor Selim Krein Centennial, in preparation.
(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.
(Editor, with V. Lin) Voronezh Winter Mathematical Schools. Dedicated to Selim Krein, American Math. Society Transl., Ser. 2, v.184, AMS, Providence, RI 1998
(Editor) Waves in Periodic and Random Media, Contemp. Math. v. 339, American Math. Society, Providence, RI 2004.
(Editor, with G. Berkolaiko, R. Carlson, and S. Fulling) Quantum Graphs and Their Applications, Contemp. Math., v. 415, American Math. Society, Providence, RI 2006.
(Editor, with P. Exner, J. Keating, T. Sunada and A. Teplyaev) Analysis on Graphs and its Applications, Proc. Symp. Pure Math., AMS,2008.
(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.
(Editor, with G. Bal, D. Finch, et al.) Tomography and Inverse Transport Theory, AMS 2011
(with L. Kunyansky and F. Terzioglu) Cone transforms and Compton camera imaging, in preparation
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: 9780387929200, 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. 89101.
(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. 6173.
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, 191224
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 pseudodifferential 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, 730.
(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, R1R24. 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.
Member of the scientific committee of the International Conference Applied Mathematics, Modeling and Computational Science (AMMCS), Waterloo, Canada, August 2630, 2013
Minisymposium “spherical mean transform and related topics” coorganizer, International conference “Applied Inverse Problems”, July 15, Daejeon, Korea.
Member of scientific committee, International conference “Complex analysis and dynamical systems. VI”, May 1924 2013, Nahariya, Israel.
Cochair of the SIAM Imaging Meeting, Philadelphia, PA, May 2012.
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.
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.
Coorganizer (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.
Coorganizer (with D. Lagoudas, R. Lipton, and J. Walton) of the IAMCS workshop "MultiScale Materials Modeling: NanoScale to MacroScale Materials Modeling and Hybrid Theories", Texas A&M, December 23 2009.
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.
Coorganizer (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.
Coorganizer (with N. Datta (U. Cambridge)) of the section "Nonrelativistic quantum mechanics and quantum computation" at the Congress of the Internat. Soc. of Math. Physics, Prague, August 2009.
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.
Organizer, Minisymposium on "Novel methods of medical imaging" at the Soc. Ind. and Appl. Math. Life Sciences conference, Montreal, August 2008.
Coorganizer (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.
Organizer, Workshop on "Quantum Graphs, their Spectra and Applications", Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, April 2  5 2007.
Coorganizer, AMS Special Session on Radon Transform and Tomography, January 2007, New Orleans, LA.
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.
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.
Coorganizer of the Joint Summer Research Conference in the Mathematical Sciences "Mathematical Modeling of Novel Optical Devices", Snowbird, UT, June 11  June 18, 2005.
Organizer of the special 20042005 year on spectral theory and mathematical physics at Texas A&M.
Organizer of a miniworkshop on Mathematical Analysis of Photonic Devices, Texas A&M Univ., May 2003.
CoOrganizer of the Special Session on Inverse problems and Tomography at the AMS Meeting, Binghamton, NY, October 2003.
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 2630, 2002.
Organizer of the Joint Summer Research Conference on Waves in Periodic and Random Media, South Hadley, MA, 2002.
Organizer of the 11th Midwest Geometry Conference, April 2001.
Coorganizer of the Joint Summer Research Conference on Integral Geometry, Tomography, and Impedance Imaging, South Hadley, MA, June 1993.
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:
Course of 4 lectures "Spectral theory of operators with periodic coefficients," CEAEDFINRIA School "Waves in periodic media: mathematical and numerical aspects," Ecole Polytechnique, April 15th20th 2013.
"Hybrid imaging methods," Interdisciplinary workshop Inverse Problems, Schlumberger WesternGeco, Houston, 11/12  11/14 2012
MASS (Mathematics Advanced Study Semesters) Colloquium “Seeing Invisible: Mathematics of Medical Imaging”, Penn State Univ., Nov. 8, 2012
Colloquium “A nodal count mystery”, Penn State Univ., Nov. 8, 2012
Featured speaker (10 lectures) at the CBMSNSF Conference "Mathematical Methods of Computed Tomography", Univ. of Texas Arlington, May 27  June 1, 2012.
A minicourse "Can one hear the heat of a body?" at the International Workshop "Analysis, Operator Theory, and Mathematical Physics," Ixtapa, Mexico, January 23  27, 2012.
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, 89 January 2012.
Invited lecture "A nodal domain count mystery", MAA Invited Paper Session on Decoding Geometry, at the Joint Math. Meetings, Boston, January 47, 2012.
Invited lecture "Nodal counts of billiard eigenfunctions and critical partitions", The 4th Cornell Conference on Analysis and Probability on Fractals, Cornell University, September 1013, 2011.
Invited lecture "Ultrasound Modulated Imaging Modalities", Session on Hybrid Methods in Medical Imaging, at the ICIAM (Int. Congr. Industr. Appl. Math.), Vancouver, July 1822, 2011.
Invited lecture "Hybrid methods of medical imaging", Applied Inverse Problems conference, Texas A&M University, May 2011.
2 Invited lectures "Tomographic methods in Imaging, I, II", Preconference workshop, Applied Inverse Problems conference, Texas A&M University, May 2011.
Invited lecture "Ultrasound Modulated Imaging Modalities", at AMS Special Session on "Inverse Problems and PDE Control", at the Joint International Meeting Pucon, Chile, December 1518, 2010.
Invited lecture "Parseval frames of exponentially decaying Wannier functions" at MissouriIllinois Harmonic Analysis workshop, October, 2010, U. Illinois UrbanaChampaign.
Series of 4 invited lectures on novel hybrid methods of imaging, Introductory Workshop on Inverse Problems and Applications, August 2327, 2010, MSRI, UC Berkeley.
Invited lecture "Parseval frames of exponentially decaying Wannier functions" at Spectral Geometry workshop, July 1923, 2010, Dartmouth College.
Series of 9 invited lectures on integral geometry and tomography, June 26th  July 10th, 2010, University of Washington, Seattle.
Invited lecture "Detection of small low emission radiation sources" at the workshop Inverse Transport Theory and Tomography, BIRS, Banff, May 1621, 2010.
Invited Colloquium Lecture "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", Math. Dept., SMU, Dallas, November 18th, 2009.
Invited Lecture "Survey of mathematics of thermoacoustic tomography", Internat. Workshop "Mathematical Methods in Novel Modalities of Medical Imaging", Banff, Canada, October 2009.
Invited Lecture "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", IAMCS workshop. May 2009, College Station, TX.
Series of 4 invited lectures on Radon transform and its applications, Graduate Workshop on Inverse Problems and Applications, July 2630, 2009, MSRI, UC Berkeley.
Invited Lecture "On reconstructions in thermoacoustic tomography" at the international conference on Integral Geometry and Tomography, Stockholm University, Sweden, August 1215, 2008
Invited Lecture "Mathematical problems of thermoacoustic tomography" at the international conference Inverse Problems: Modeling and Simulation, OludenizFethiye, Mugla, Turkey, May 26  30, 2008.
Invited Applied Math Colloquium "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", MIT, Cambridge, MA, April 2008
Invited Colloquium "Can one hear the heat of a body? Mathematics of thermoacoustic tomography", Tufts University, Medford, MA, April 2008
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.
Invited Lecture "Mathematical problems of thermoacoustic tomography" at the international "Biomedical imaging" workshop, Radon Inst., Linz, Austria, November 2007.
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.
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.
Invited Lecture "Analysis on graphs and its applications", Correspondents Meeting, Isaac Institute for Math. Sciences, Cambridge, UK, June 2007.
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.
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.
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.
Keynote lecture "Some mathematical problems of nanotechnology" at the Opening Ceremony of the Graduate School on Analysis, Simulation and Design of nanotechnological processes, Univ. Karlsruhe, Germany, 17  20 October 2006.
Invited lecture at the international workshop Inverse Problems and Applications, Banff International Research Station, August 19  August 24, 2006.
Invited lecture at the international workshop Mathematical Methods in Tomography, Mathematisches Forschungsinstitut Oberwolfach, July 30  August 5, 2006.
Invited lecture at the program Spectral Theory and Partial Differential Equations, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, 17 July  11 August 2006.
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.
Invited minisymposium talk at SIAM Conference on Imaging Science, IMA, May 1517, 2006
A course of 6 lectures on "Photonic crystal theory" at the Mathematics Department, Seoul National University, March 2006.
Invited lecture at New Mathematics and Algorithms for 3D Image Analysis, IMA, January 912, 2006
Plenary talk at 2005 New Zealand Mathematics Colloquium, Massey University, Palmerston North, New Zealand, December 5  7, 2005.
Invited lecture at 2005 Special Session on New Directions in Spectral Theory and Geometric Analysis, AMS Meeting, Eugene, OR, November 1213, 2005.
Invited lecture at Geometric and Probabilistic Methods in Group Theory and Dynamical Systems,Texas A&M,3  6 November 2005
Plenary lecture at Multiscale problems: modelling, analysis and applications, University of Bath, 12th  14th September 2005
Invited seminar talk "Circular Radon transform, theormoacoustic tomography, and all that" at University of Bath 17th September 2005.
Invited lecture at the international workshop Geometrical Aspects of Spectral Theory Matrei, East Tirol, Austria July 112, 2005.
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.
Invited lecture at the AMS Short Course on Radon Transform and its Applications to Inverse Problems, Atlanta, GA, January 2005.
Invited lecture at the NanoPhysics section of the international conference QMath9 (Mathematical results of Quantum mechanics), September 2004, Giens, France.
Series of 6 invited lectures at the Inverse Problems special year, Univ. Helsinki, May 2004.
Invited lecture at the international conference Inverse Problems: Results and Perspectives, Univ. Helsinki, May 2004.
Invited talk at the Annual Meeting of the Israel Math. Union, May 2004.
Invited lecture at the Inverse Problems workshop at IPAM, November 2003.
Plenary address at the 24th Annual SoutheasternAtlantic Regional Conference on Differential Equations, Univ. of Tennessee at Chattanooga, October 22  23, 2004.
Plenary address at the AMS Meeting in Binghampton, NY, October 2003.
Invited minicourse at the PanAmerican Advanced Studies Institute (PASI) on Partial Differential Equations, Inverse Problems and NonLinear Analysis, January 618, 2003, Universidad de Chile, Santiago, Chile.
Invited lecture at the MittagLeffler Institute, Stockholm, Sweden, November 2002.
Invited talk at the PECSIV: International Workshop on Photonic and Electromagnetic Crystal Structures (Jointly Sponsored By PECSIV and IPAM), UCLA, Los Angeles, CA, October 2831, 2002.
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 915, 2002.
Plenary address at the 3rd International Congress of ISAAC (Internat. Soc. Anal. Appl. Comp), Berlin, August 2001.
Organizer and main lecturer (20082013) and Director (2008  present) of the High School Math Summer Camp at Texas A&M.
Member, MAA Math Circles group, 2008present.
Chair of the Outreach Committee (Texas A&M) 2008  2009.
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, 20022005, 2008.
Chair of the Math Awareness Committee (Texas A&M) 20032008.
Author of several booklets for KOSM students (see publications)
Organizer (19941995) and teacher (19942001) 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.