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Dr Gaik Ambartsoumian

Name

[Dr Gaik Ambartsoumian]
  • Associate Professor, Mathematics

Biography

Array

Education

    • 2006 PhD in Applied Mathematics
      Texas A&M University College Station, 2006
    • 2001 BS in Mathematics
      Unknown, 2001

News Articles

    • Feb 2017 UTA College of Science News
      Ambartsoumian leading NSF-funded project to develop new math theory for improvement of imaging technology
      (Type: Internet)
    • May 2015 The Shorthorn
      Teaching assistant reflects on career choice
      (Type: Newspaper)
    • Dec 2013 Youtube
      Students of the American University of Armenia about Dr. Ambartsoumian
      (Type: Internet)
    • Oct 2013 RAU TV
      Seminar and Interview of G. Ambartsoumian at the Russian-Armenian State University
      (Type: Television)
    • May 2013 UTA College of Science News
      College of Science Presents 2012-13 Faculty Awards
      (Type: Internet)
    • Apr 2013 Maverick Science
      Sharper Image - On Dr. Ambartsoumian's Research in Maverick Science Magazine
      (Type: Magazine)

Publications

      Book Chapter 2019
      • V-line and conical Radon transforms with applications in imaging
        [Ambartsoumian, Gaik]. The Radon Transform: The First 100 Years and Beyond. "De Gruyter/Radon Series on Computational and Applied Mathematics".

      Research Report 2019
      • Inversion of the star transform
        [Ambartsoumian, Gaik, Latiffi Jebelli, Mohammad]. Oberwolfach Reports. " European Mathematical Society (EMS)". DOI http://dx.doi.org/10.4171/OWR/2019/4

      Journal Article 2019
      • The V-line transform with some generalizations and cone differentiation
        [Ambartsoumian, Gaik, Latiffi Jebelli, MohammadJavad]. Inverse Problems. 35(3), 034003.

      Journal Article Accepted
      • Generalized Radon Transforms and Applications in Tomography
        [Ambartsoumian, Gaik, Quinto, EricTodd, ]. Inverse Problems.

      Journal Article 2018
      • Image reconstruction from radially incomplete spherical Radon data
        [Ambartsoumian, Gaik, Gouia-Zarrad, Rim, Krishnan, Venky, Roy, Souvik]. European Journal of Applied Mathematics. 29(3), 470-493.
      2018
      • Singular FIOs in SAR imaging, II: transmitter and receiver at different speeds
        [Ambartsoumian, Gaik, Felea, Raluca, Krishnan, Venky, Nolan, Cliff, Quinto, Todd]. SIAM Journal on Mathematical Analysis. 50(1), 591-621.

      Journal Article 2016
      • Numerical inversion of a broken ray transform arising in single scattering optical tomography
        [Ambartsoumian, Gaik, Roy, Souvik]. IEEE Transactions on Computational Imaging. 2(2), 166-173.

      Book Chapter 2015
      • Integral geometry and mathematical problems of image reconstruction
        [Ambartsoumian, Gaik, Siddiqi, AH, Manchanda, P, Bhardwaj, R, , ]. Mathematical Models, Methods and Applications. Springer: "Springer".
      2015
      • Microlocal analysis and imaging
        [Ambartsoumian, Gaik, Felea, R, Krishman, V, Nolan, C, Quinto, ET, Kaper, H, Rousseau, C]. a chapter in Mathematics of Planet Earth.

      Journal Article 2015
      • Inversion of a class of circular and elliptical Radon transforms
        [Ambartsoumian, Gaik, Krishnan, V]. Contemporary Mathematics. 653, 13174.

      Book Chapter 2014
      • On the V -line Radon transform and its applications in imaging
        [Ambartsoumian, Gaik, Burger, Martin, Louis, AlfredK, Quinton, EricTodd]. Mathematics and Algorithms in Tomography . Oberwolfach Reports. 11(3), DOI http://dx.doi.org/10.4171/OWR/2014/37

      Journal Article 2014
      • Exact inversion of the conical Radon transform with a fixed opening angle
        [Zarrad, RGouia, Ambartsoumian, Gaik]. Inverse Problems. 30(4), DOI http://dx.doi.org/045007
      2014
      • Exterior problem of acoustic reflectivity imaging
        [Ambartsoumian, Gaik, Kunyansky, L]. Inverse Problems and Imaging. 8(2), 339-359.

      Journal Article 2013
      • A Series formula for inversion of the V -line transform in a disc
        [Ambartsoumian, Gaik, Moon, S]. Computers & Mathematics with Applications. 66(9), 1567-1572.
      2013
      • A class of singular Fourier integral operators in synthetic aperture radar imaging
        [Ambartsoumian, Gaik, Felea, R, Krishnan, V, Nolan, C, Quinto, ET]. Journal of Functional Analysis. 264, 246-269.
      2013
      • Invasion speed in cellular automaton models for T. cruzi vector migration
        [Crawford, B, Zaleta, CKribs, Ambartsoumian, Gaik]. Bulletin of Mathematical Biology. 75(7), 1051-1081.
      2013
      • Microlocal analysis of an ultrasound transform with cir cular source and receiver trajectories
        [Ambartsoumian, Gaik, Boman, J, Krishman, V, Quinto, ET]. Contemporary Mathematics. 598, 45-58.

      Conference Proceeding 2013
      • Effect of refraction on dose reconstruction in optical -CT gel dosimetry
        [Florescu, L, Ambartsoumian, Gaik, Wuu, C]. Journal of Physics: Conference Series. 444. DOI http://dx.doi.org/012063

      Conference Proceeding 2012
      • Approximate inversion algorithm of the elliptical Radon transform
        [Zarrad, RGouia, Ambartsoumian, Gaik]. Proceedings of ISMA 2012, Biomedical Applications.

      Journal Article 2012
      • Inversion of the v- line Radon transform in a disc and its applications in imaging
        [Ambartsoumian, Gaik]. Computers & Mathematics with Applications. 64(3), 260-265.

      Conference Proceeding 2010
      • Inversion of the circular Radon transform on an annulus
        [Ambartsoumian, Gaik, Zarrad, RGouia, Lewis, M]. Inverse Problems. 26, 11. DOI http://dx.doi.org/105015
      2010
      • Tomographic reconstruction of nodular images from incomplete data
        [Ambartsoumian, Gaik, Xie, M]. American Institute of Physics Conference Proceedings. 1301, 167-174.

      Conference Proceeding 2009
      • Limited view thermoacoustic tomography
        [XU, Y, Wang, L, Ambartsoumian, Gaik, Kuchment, P]. Photoacoustic imaging and spectroscopy" , CRC Press. Chapter 6, 61-73.
      2009
      • Reconstruction algorithms for interior and exterior spherical Radon transform -based ultrasound imaging
        [Vaidyanathan, R, Lewis, M, Ambartsoumian, Gaik, Aktosun, T]. Proceedings of SPIE , v. 7265, Medical Imaging : Ultrasonic Imaging and Signal Processing. 1-8. DOI http://dx.doi.org/726511

      Conference Proceeding 2007
      • Thermoacoustic tomography: numerical results
        [Ambartsoumian, Gaik, Patch, SK]. Proceedings of SPIE, v. 6437, Progress in Biomedical Optics and Imaging. 14, 6437-6447.

      Conference Proceeding 2006
      • A range description for the planar circular Radon transform
        [Ambartsoumian, Gaik, Kuchment, P]. SIAM Journal on Mathematical Analysis. 681-692.

      Conference Proceeding 2005
      • On the injectivity of the circular Radon transform
        [Ambartsoumian, Gaik, Kuchment, P]. Inverse Problems. 21, 473-485.

      Conference Proceeding 2004
      • Reconstruction in limited view thermoacoustic tomography
        [Xu, Y, Wang, L, Ambartsoumian, Gaik, Kuchment, P]. Medical Physics. 31(4), 724-733.

      Conference Proceeding 2003
      • Continuation of functions representable by exponentials of infinite multiplicity with alternating exponents
        (Russian) English translation in: Mathematical Notes
        [Ambartsoumian, Gaik, Burobin, A, Zametki, Mat]. Russian Academy of Sciences. 73(2), 155-162, 163-172.

      Conference Proceeding Unknown
      • Broken -ray transform s and cone differentiation
        [Ambartsoumian, Gaik, jebelli, MLatifi] (1925).
      Unknown Unknown
      • Singular FIOs in SAR imaging, II: transmitter and receiver at different speeds. to appears
        [Ambartsoumian, Gaik, Felea, R, Krishman, V, Nolan, C, Quinto, ET]. SIAM Journal on Mathematical Analysis (1925).
        Preprint at: https://arxiv.org/abs/1702.07397

Presentations

    • September  2019
      Ambartsoumian, Gaik, Roy, Souvik, Khatri, Gaurav, Zimmern, Philippe, , "Automatic Segmentation and 3D Visualization of Pelvic Mesh Using Mathematical Modelling and Machine Learning Techniques in MRI", Gothenburg, Sweden. (September , 2019).
    • August  2019
      Ambartsoumian, Gaik, "Lines, broken lines and stars in tomography", Medford, MA. (August , 2019).
    • January  2019
      Ambartsoumian, Gaik, "Generalized Radon transforms and imaging from scattered particles", The Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. (January , 2019).
    • October  2018
      Ambartsoumian, Gaik, "Inversion of the star transform", SIAM, Norman, OK. (October , 2018).
    • May  2018
      Ambartsoumian, Gaik, "The broken-ray transform and its generalizations", Malta. (May 21, 2018).
    • September  2017
      Ambartsoumian, Gaik, "Generalizations of broken -ray transform and conical differentiation", Recent developments in Integral Geometry and Tomography, Orlanda, Florida. (September 1, 2017).
    • March  2017
      Ambartsoumian, Gaik, "100 Years of the Radon Transform", The Radon Institute of Computational and Applied Mathematics, Linz, Austria. (March 1, 2017).
    • September  2016
      Ambartsoumian, Gaik, "Mathematical problems of image reconstruction in medicine", UT Southwestern Medical Center, Dallas, Texas. (September 1, 2016).
    • July  2016
      Ambartsoumian, Gaik, "Generalized Radon transforms arising in single scattering optical ", Special Session on Imaging Methods in Coupled Physics Models, Orlanda, Florida. (July 1, 2016).
    • April  2016
      Ambartsoumian, Gaik, "Generalized Radon transforms in tomography ", Kent, Ohio. (April 1, 2016).
    • October  2015
      Ambartsoumian, Gaik, "Broken -ray and conical Radon transforms in imaging ", Dallas, Texas. (October 1, 2015).
    • July  2015
      Ambartsoumian, Gaik, "Computational and Analytical Aspects of Image Reconstruction", Providence, Rhode Island. (July 1, 2015).
    • April  2015
      Ambartsoumian, Gaik, "Broken -ray and conical Radon transforms in imaging", Las Vegas, Nevada. (April 1, 2015).
    • August  2014
      Ambartsoumian, Gaik, "Mathematics and Algorithms in Tomography", Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Oberwolfach, Germany . (August 1, 2014).
    • August  2014
      Ambartsoumian, Gaik, "On t he V -line Radon transform and its applications in imaging, ", The Mathematisches Forschungsinstitut Oberwolfach, Oberwolfach, Germany. (August 1, 2014).
    • July  2014
      Ambartsoumian, Gaik, "Exterior problem of acoustic reflectivity imaging , Special Session on Hybrid Imaging Methods", Madrid, Spain. (July 1, 2014).
    • July  2014
      Ambartsoumian, Gaik, "Microlocal analysis of an elliptical Radon transform in circular geometry of data acquisition", Madrid, Spain. (July 1, 2014).
    • June  2014
      Ambartsoumian, Gaik, "Generalized Radon transforms in tomography", Tata Institute of Fundamental Research, Bangalore, India. (June 1, 2014).
    • March  2014
      Ambartsoumian, Gaik, "Elliptical Radon transform in synthetic aperture radar imaging", Baltimore MaryLand. (March 1, 2014).
    • October  2013
      Ambartsoumian, Gaik, "Generalized Radon transforms in image reconstruction problems", Yerevan, Armenia. (October 1, 2013).
    • October  2013
      Ambartsoumian, Gaik, "Spherical mean transform and its generalization", Yerevan, Armenia. (October 1, 2013).
    • June  2013
      Ambartsoumian, Gaik, "Four lectures on integral geometry and mathematical problems of image reconstruction", Tata Institute of Fundamental Research, Bangalore, India. (June 1, 2013).
    • June  2013
      Ambartsoumian, Gaik, "Generalized Radon transforms in image reconstruction problems", Indian Institute of Science, Bangalore, India. (June 1, 2013).
    • May  2013
      Ambartsoumian, Gaik, "Injectivity and inversion of ultrasound operators in the spherical geometry", Orlanda, Florida. (May 1, 2013).
    • May  2013
      Ambartsoumian, Gaik, "Reconstructing a function from its v -line Radon transform in a disc", Naharia, Israel. (May 1, 2013).
    • April  2013
      Ambartsoumian, Gaik, "Reconstructing a function from its V -line averag es in a disc", Inverse Problems and Applications, Linköping University and Institut Mittag-Leffler, Linkoping, Sweden. (April 1, 2013).
    • December  2012
      Ambartsoumian, Gaik, "Integral geometry and tomograph", Tata Institute of Fundamental Research, Bangalore, India. (December 1, 2012).
    • December  2012
      Ambartsoumian, Gaik, "On generalized Radon transforms in ultrasound tomography, 11th Annual ", New Delhi, India. (December 1, 2012).
    • November  2012
      Ambartsoumian, Gaik, "Generalized Radon transforms and image reconstruction problems", Blackberg, Virginia. (November 1, 2012).
    • June  2012
      Ambartsoumian, Gaik, "The elliptical Radon transform and ultrasound tomography", Sofia, Bulgaria. (June 1, 2012).
    • June  2012
      Ambartsoumian, Gaik, "The elliptical Radon transform and ultrasound tomography", Promoting the Application of Mathematics in Technical and Natural Sciences , Varna, Bulgaria. (June 1, 2012).
    • May  2012
      Ambartsoumian, Gaik, "Inversion of the V -Line Radon transform in a disc and its applications in imaging", Philadelphia, Pennsylvania. (May 1, 2012).
    • May  2012
      Ambartsoumian, Gaik, "Mathematical Methods of Computed Tomography", Arlington, Texas. (May 1, 2012).
    • April  2012
      Ambartsoumian, Gaik, "Injectivity and exact inversion of ultrasound operators in the spherical geometry", Houston,Texas. (April 1, 2012).
    • March  2012
      Ambartsoumian, Gaik, "Injectivity and exact inversion of ultrasound operators in the spherical geometry ", Tampa, Florida. (March 1, 2012).
    • January  2012
      Ambartsoumian, Gaik, "Exact inversion of ultrasound operators in the spherical geometry", Medford, Massachusetta. (January 1, 2012).
    • August  2011
      Ambartsoumian, Gaik, "Microlocal Analysis and Imaging, SQuaREs workshop", Palo Alto, Calfornia. (August 13, 2011).
    • June  2011
      Ambartsoumian, Gaik, "Image reconstruction in acoustic reflectivity tomography", Application of Mathematics in Technical and Natural Sciences, Sozopol, Albena, Bulgaria. (June 1, 2011).
    • June  2011
      Ambartsoumian, Gaik, "On reconstruction in thermoacoustic tomography", Sofia, Bulgaria. (June 1, 2011).
    • May  2011
      Ambartsoumian, Gaik, "Applied Inverse Problems", College Station, Texas. (May 1, 2011).
    • May  2011
      Ambartsoumian, Gaik, "Generalized Radon transforms in SAR image reconstruction problems", Edinburg, Texas. (May 1, 2011).
    • May  2011
      Ambartsoumian, Gaik, "Image reconstruction in acoustic reflectivity tomography", College Station, Tx. (May 1, 2011).
    • January  2011
      Ambartsoumian, Gaik, "Exterior problem of acoustic reflectivity imaging, Harmonic Analysis and Integral Geometry Workshop", Baton Rouge, Louisiana. (January 1, 2011).
    • November  2010
      Ambartsoumian, Gaik, "Inverse Problems: Theory and Applications", Berkeley, Calfornia. (November 1, 2010).
    • June  2010
      Ambartsoumian, Gaik, "On inversion of Radon transforms from partial data ", The Application of Mathematics in Technical and Natural Sciences, Sozopol, Sozopol, Bulgaria. (June 1, 2010).
    • April  2010
      Ambartsoumian, Gaik, "Mathematics and Algorithms in Tomography,", Oberwolfach, Germany. (April 1, 2010).
    • October  2009
      Ambartsoumian, Gaik, "Mathematical Methods in Emerging Modalities of Medical Imaging", Banff, Canada. (October 1, 2009).
    • October  2009
      Ambartsoumian, Gaik, "The generalized Radon transforms and their applications in tomography", Fort Worth, Texas. (October 1, 2009).
    • June  2009
      Ambartsoumian, Gaik, "Overview of mathematics of thermoacoustic tomography , Inverse Problems ", SnowBird, Utah. (June 1, 2009).
    • October  2008
      Ambartsoumian, Gaik, "Integral geometry in medical imaging, Research Colloquium", Dallas, Texas. (October 1, 2008).
    • July  2008
      Ambartsoumian, Gaik, "Evolution Equations, Clay Mathematics Institute Summer School", Zürich, Switzerland. (July 1, 2008).
    • June  2008
      Ambartsoumian, Gaik, "Inverse Problems", Snowbird, Utah. (June 1, 2008).
    • May  2008
      Ambartsoumian, Gaik, "Imaging in Random Media", Houston, Texas. (May 1, 2008).
    • May  2008
      Ambartsoumian, Gaik, "Inverse Scattering for Radar Imaging", Arlington, Texas. (May 1, 2008).
    • March  2008
      Ambartsoumian, Gaik, "On limited view tomography with side constraints, American Mathematical ", Baton Rouge, Louisiana. (March 1, 2008).
    • May  2006
      Ambartsoumian, Gaik, "Some mathematical problems of thermoacoustic tomography", Minneapolis, Minnesota. (May 1, 2006).
    • January  2006
      Ambartsoumian, Gaik, ".New Mathematics and Algorithms for 3D Image Analysis, Institute for Mathematics and Application", Minneapolis,Minnesota. (January 1, 2006).
    • October  2005
      Ambartsoumian, Gaik, "Image reconstruction in thermoacoustic tomography, Institute of Mathematics and Applications", Minneapolis, Minnesota. (October 1, 2005).
    • October  2005
      Ambartsoumian, Gaik, "Imaging from Wave Propagation, Institute for Mathematics and Applications", Minneapolis, Minnesota. (October 1, 2005).
    • July  2005
      Ambartsoumian, Gaik, "On reconstruction in thermoacoustic tomography (poster presentation)", Reconstruction in Radiology and Nuclear Medicine, Salt Lake City, Salt Lake City, Utah. (July 1, 2005).
    • January  2005
      Ambartsoumian, Gaik, "Numerical reconstructions in 3D thermo -acoustic tomography", Atlanta, Georgia. (January 1, 2005).
    • January  2005
      Ambartsoumian, Gaik, "The Radon Transform and Applications to Inverse Problems", American Mathematical Society Short Course Series, Atlanta, Altanta, Georgia. (January 1, 2005).
    • August  2004
      Ambartsoumian, Gaik, "Thermoacoustic tomography – reconstruction in 3D, Applied Science ", Milwaukee, WI. (August 1, 2004).
    • April  2004
      Ambartsoumian, Gaik, "Circular Radon transform, wave equation and thermoacoustic tomography", College Station, Texas. (April 1, 2004).
    • April  2004
      Ambartsoumian, Gaik, "The circular Radon transform and thermoacoustic tomography", Lawrenceville, New Jersey. (April 1, 2004).
    • October  2003
      Ambartsoumian, Gaik, "On injectivity of the circular Radon transform", Binghamton, New York. (October 1, 2003).
    • September  2003
      Ambartsoumian, Gaik, "Inverse Problems: Computational Methods and Emerging Applications", Los Angeles, California. (September 1, 2003).
    • February  2001
      Ambartsoumian, Gaik, "Global existence of infinitely iterated exponentials with alternating exponents of different signs", Modern Methods of Functions Theory and Related Problems, Voronezh, Russia. (February 1, 2001).
    • December  2000
      Ambartsoumian, Gaik, "Analysis of a cascade type nonlinear dynamical system,", Differential Equations Seminar, Faculty of Computational Mathematics and Cybernetics, Moscow State, Moscow, Russia. (December 1, 2000).
    • February  1999
      Ambartsoumian, Gaik, "On continuation of functions represented by infinitely iterated exponentials 1999 Voronezh Winter Mathematical School", Voronezh, Russia. (February 1, 1999).

Support & Funding

This data is entered manually by the author of the profile and may duplicate data in the Sponsored Projects section.
    • Sept 2016 to Aug 2020 Conical Radon transforms and their applications in tomography sponsored by  - $197628
      Gaik Ambartsoumian (Funded)
    • Sept 2015 to Aug 2020 Integral geometric problems in tomography sponsored by  - $7000
      Gaik Ambartsoumian (Funded)
    • Aug 2011 to July 2015 Elliptical Radon Transforms in Image Reconstruction sponsored by  - $175898
      Gaik Ambartsoumian (Funded)
    • July 2010 to May 2013 Image Reconstruction Problems in Tomosynthesis sponsored by  - $50000
      Gaik Ambartsoumian (Funded)
    • Aug 2007 to Aug 2011 Acoustic Inverse Scattering of Breast Cancer Microcalcification Detection sponsored by  - $370764
      (Funded)
    • Sept 2007 to Dec 2008 Some Problems of Constraint Reconnstruction in Tomography sponsored by  - $10000
      Gaik Ambartsoumian (Funded)
    • Apr 2008 to Mar 2009 AIMS' Seventh International Conference on Dynamical Systems and Differential Equations sponsored by  - $25000
      (Funded)

Students Supervised

    • Present
      John Montalbo, (Mathematics)
    • May 2019
      Rawan Joudeh, (Mathematics)
    • Jan 2018
      Mostofa Hisham, (Physics)
    • Aug 2017
      Sl-Ghi Choi, (Mathematics)
    • Aug 2017
      Mohammad Javad Latifi Jebelli,
    • Dec 2015
      David Hightower, (Mathematics)
    • May 2015
      Spencer Lunderman, (Mathematics)
    • Aug 2011
      Rim Gouia Zarrad, (Mathematics)
    • Aug 2010
      Ernesto Garcia, (Mathematics)
    • Aug 2010
      Ravi Vaidyanathan, (Bioengineering)

Courses

      • MATH 6699-006 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2020
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Image Reconstruction. | Course Id: 111030)
        Spring - Regular Academic Session - 2020
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2019
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2019
      • MATH 6699-005 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2019
      • MATH 4381-002 MATHEMATICS RESEARCH
        (Course Id: 108403)
        Fall - Regular Academic Session - 2019
      • MATH 1316-002 MATH ECON & BUS ANLYS
        (Course Id: 108329)
        Summer - Five Week - Second - 2019 Download Syllabus
      • MATH 5699-003 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2019
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2019 Download Syllabus
      • MATH 4381-001 MATHEMATICS RESEARCH
        (Course Id: 108403)
        Spring - Regular Academic Session - 2019
      • MATH 5399-007 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Spring - Regular Academic Session - 2019
      • MATH 5999-006 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2019
      • MATH 5395-003 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2019
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Math of Medical Imaging II | Course Id: 111030)
        Spring - Regular Academic Session - 2019
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2018 Download Syllabus
      • MATH 5327-001 FUNCTIONAL ANALYSIS I
        (Course Id: 108441)
        Fall - Regular Academic Session - 2018 Download Syllabus
      • MATH 4381-002 MATHEMATICS RESEARCH
        (Course Id: 108403)
        Fall - Regular Academic Session - 2018
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: Pattern Recognition Part 2 | Course Id: 108486)
        Fall - Regular Academic Session - 2018
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Math Tech. of Image Processing | Course Id: 111030)
        Fall - Regular Academic Session - 2018
      • MATH 1316-002 MATH ECON & BUS ANLYS
        (Course Id: 108329)
        Summer - Five Week - Second - 2018 Download Syllabus
      • MATH 5391-002 SPECIAL TOPICS IN MATH
        (Topic: Pattern Recognition | Course Id: 108486)
        Summer - Eleven Week - 2018
      • MATH 5322-001 COMPLEX VARIABLES I
        (Course Id: 108436)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2018 Download Syllabus
      • MATH 5391-007 SPECIAL TOPICS IN MATH
        (Topic: MathFoundations of Imaging | Course Id: 108486)
        Spring - Regular Academic Session - 2018
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2017 Download Syllabus
      • MATH 4393-001 HONORS THESIS/SENIOR PROJ
        (Course Id: 108406)
        Fall - Regular Academic Session - 2017
      • MATH 4322-001 INTRO COMPLEX VARIABLES
        (Course Id: 108393)
        Fall - Regular Academic Session - 2017 Download Syllabus
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Mathematics of Medical Imaging | Course Id: 111030)
        Fall - Regular Academic Session - 2017
      • MATH 7399-002 DOCTORAL DEGREE COMPLETION
        (Course Id: 111647)
        Summer - Eleven Week - 2017
      • MATH 5699-001 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2017
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2017 Download Syllabus
      • MATH 6699-005 DISSERTATION
        (Course Id: 110860)
        Spring - Regular Academic Session - 2017
      • MATH 5395-007 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2017
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Mathematics of Medical Imaging | Course Id: 111030)
        Spring - Regular Academic Session - 2017
      • MATH 5350-001 APPLIED MATHEMATICS I
        (Course Id: 108464)
        Fall - Regular Academic Session - 2016 Download Syllabus
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2016 Download Syllabus
      • MATH 6699-003 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2016
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Mathematics of Medical Imaging | Course Id: 111030)
        Fall - Regular Academic Session - 2016
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Summer - Eleven Week - 2016 Download Syllabus
      • MATH 5399-003 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Eleven Week - 2016
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Summer - Eleven Week - 2016
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Functional Analysis | Course Id: 108486)
        Summer - Eleven Week - 2016
      • MATH 5322-001 COMPLEX VARIABLES I
        (Course Id: 108436)
        Spring - Regular Academic Session - 2016 Download Syllabus
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2016 Download Syllabus
      • MATH 5999-006 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2016
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2015 Download Syllabus
      • MATH 5317-001 REAL ANALYSIS
        (Course Id: 108431)
        Fall - Regular Academic Session - 2015 Download Syllabus
      • MATH 5999-002 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Fall - Regular Academic Session - 2015
      • MATH 5395-004 SPECIAL PROJECT
        (Course Id: 108489)
        Fall - Regular Academic Session - 2015
      • MATH 5399-005 RESEARCH IN MATHEMATICS
        (Course Id: 112022)
        Summer - Eleven Week - 2015
      • MATH 5395-002 SPECIAL PROJECT
        (Course Id: 108489)
        Summer - Eleven Week - 2015
      • MATH 5327-001 FUNCTIONAL ANALYSIS I
        (Course Id: 108441)
        Spring - Regular Academic Session - 2015 Download Syllabus
      • MATH 5999-002 RESEARCH IN MATHEMATICS
        (Course Id: 112024)
        Spring - Regular Academic Session - 2015
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2015
      • MATH 5322-001 COMPLEX VARIABLES I
        (Course Id: 108436)
        Fall - Regular Academic Session - 2014 Download Syllabus
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2014 Download Syllabus
      • MATH 5699-002 RESEARCH IN MATHEMATICS
        (Course Id: 112023)
        Fall - Regular Academic Session - 2014
      • MATH 3319-003 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2014 Download Syllabus
      • MATH 5328-001 FUNCTIONAL ANALYSIS II
        (Course Id: 108442)
        Spring - Regular Academic Session - 2014 Download Syllabus
      • MATH 6391-001 SPECIAL TOPICS
        (Topic: Intro to Inverse Problems | Course Id: 108511)
        Spring - Regular Academic Session - 2014
      • MATH 5391-003 SPECIAL TOPICS IN MATH
        (Topic: Topics in Real Analysis | Course Id: 108486)
        Summer - Five Week - Second - 2013
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2013
      • MATH 5327-001 FUNCTIONAL ANALYSIS I
        (Course Id: 108441)
        Spring - Regular Academic Session - 2013
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Fourier Transforms | Course Id: 111030)
        Spring - Regular Academic Session - 2013
      • MATH 5322-001 COMPLEX VARIABLES I
        (Course Id: 108436)
        Fall - Regular Academic Session - 2012
      • MATH 3319-001 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Fall - Regular Academic Session - 2012
      • MATH 4391-001 SPECIAL TOPICS IN MATH
        (Topic: Adv Multivariable Calculus | Course Id: 108404)
        Fall - Regular Academic Session - 2012
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Course Id: 111030)
        Fall - Regular Academic Session - 2012
      • MATH 5395-003 SPECIAL PROJECT
        (Course Id: 108489)
        Summer - Eleven Week - 2012
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Distribution Theory | Course Id: 111030)
        Summer - Five Week - Second - 2012
      • MATH 3319-002 DIFF EQUATIONS/LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2012
      • MATH 5308-001 MATHEMATICAL ANALYSIS II
        (Course Id: 108422)
        Spring - Regular Academic Session - 2012
      • MATH 5395-005 SPECIAL PROJECT
        (Course Id: 108489)
        Spring - Regular Academic Session - 2012
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Generalized Radon Transforms | Course Id: 111030)
        Spring - Regular Academic Session - 2012
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Fall - Regular Academic Session - 2011
      • MATH 5307-001 MATHEMATICAL ANALYSIS I
        (Course Id: 108421)
        Fall - Regular Academic Session - 2011
      • MATH 4391-002 SPECIAL TOPICS IN MATH
        (Course Id: 108404)
        Fall - Regular Academic Session - 2011
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Inverse Problems | Course Id: 108486)
        Fall - Regular Academic Session - 2011
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Mathematics of Medical Imaging | Course Id: 111030)
        Fall - Regular Academic Session - 2011
      • MATH 4394-002 UNDERGRAD RESEARCH EXPERIENCES
        (Course Id: 111030)
        Summer - Eleven Week - 2011
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2011
      • MATH 5345-001 CONCEPTS/TECH IN ANALYSIS
        (Course Id: 108459)
        Spring - Regular Academic Session - 2011
      • MATH 6999-003 DISSERTATION
        (Course Id: 110861)
        Spring - Regular Academic Session - 2011
      • MATH 6391-001 SPECIAL TOPICS
        (Course Id: 108511)
        Spring - Regular Academic Session - 2011
      • MATH 5391-005 SPECIAL TOPICS IN MATH
        (Topic: Nonlinear Equations | Course Id: 108486)
        Spring - Regular Academic Session - 2011
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Course Id: 111030)
        Spring - Regular Academic Session - 2011
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2010
      • MATH 5392-001 SELECTED TOPICS IN MATH
        (Topic: Evolution Equations | Course Id: 108487)
        Fall - Regular Academic Session - 2010
      • MATH 6391-001 SPECIAL TOPICS
        (Topic: Mathematics of Medical Imaging | Course Id: 108511)
        Fall - Regular Academic Session - 2010
      • MATH 4394-001 UNDERGRAD RESEARCH EXPERIENCES
        (Topic: Mathematics of Medical Imaging | Course Id: 111030)
        Fall - Regular Academic Session - 2010
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Summer - Eleven Week - 2010
      • MATH 5391-001 SPECIAL TOPICS IN MATH
        (Topic: Real Analysis | Course Id: 108486)
        Summer - Five Week - First - 2010
      • MATH 3335-001 ANALYSIS I
        (Course Id: 108373)
        Spring - Regular Academic Session - 2010
      • MATH 3319-003 DIFF EQ & LINEAR ALGEBRA
        (Course Id: 108370)
        Spring - Regular Academic Session - 2010
      • MATH 6399-004 DISSERTATION
        (Course Id: 110859)
        Spring - Regular Academic Session - 2010
      • MATH 3318-001 DIFFERENTIAL EQUATIONS
        (Course Id: 108369)
        Fall - Regular Academic Session - 2009
      • MATH 6699-004 DISSERTATION
        (Course Id: 110860)
        Fall - Regular Academic Session - 2009
      • MATH 5392-005 SELECTED TOPICS IN MATH
        (Topic: Mathematics of Medical Imaging | Course Id: 108487)
        Fall - Regular Academic Session - 2009

Service to the University

    • Sept 2019 to  Present Committee Member
      Undergraduate Affairs / Mathematics
    • 2015 to  Present Faculty Advisor
      UTA chapter of the Pi Mu Epsilon Honor Society
    • 2013 to  Present Committee Member
      Center for Security Advances via Applied Nano-Technology (SAVANT)
    • 2008 to  Present Committee Member
      10 Different MS Thesis and Comprehensive Exam Committees
    • 2008 to  Present Committee Member
      46 Different PhD Dissertation Committees
    • 2008 to  Present Committee Chair
      Advisory Board of the Interdisciplinary Program in Medical Physics / Physics and Astronomy
    • 2008 to  Present Co-Organizer
      UTA Calculus Bowl
    • Sept 2017 to  Apr 2018 Committee Member
      Faculty Recruitment Committee/ Mechanical and Aerospace Engineering
    • 2016 to  2017 Committee Member
      Committee on Faculty Professional Development / College of Science
    • 2016 to  2017 Committee Member
      Faculty Recruitment Committee/ Mathematics
    • 2015 to  2017 Committee Member
      Awards Committee / Mathematics
    • 2013 to  2016 Chairperson
      Colloquium Series / Mathematics
    • 2011 to  2016 Chairperson
      PhD Preliminary Exam Committee / Mathematics
    • 2014 to  2015 Committee Member
      Frontiers in Science Series Speaker Selection Committee / College of Science
    • 2011 to  2015 Committee Member
      Advisory Committee / Mathematics
    • 2011 to  2015 Committee Member
      Faculty Recruitment Committee/ Mathematics
    • 2011 to  2011 Committee Member
      Workload Committee / College of Science
    • 2007 to  2011 Committee Member
      Graduate Affairs / Mathematics
    • 2008 to  2009 Committee Member
      University of Texas System Imaging Working Group Preparing Recommendations for the Cancer Prevention & Research Institute of Texas (CPRIT)

Service to the Profession

    • 2013 to  Present
      Member
      National Alliance for Doctoral Studies in the Mathematical Sciences
    • 2009 to  Present
      Reviewer, Grant Proposal
      US National Science Foundation
      I have served 12 times (10 times since 2013) as a panelist of various Grant Proposal Review Panels at the National Science Foundation in Mathematical & Physical Sciences (MPS), Engineering (ENG) and International Science and Engineering (OISE). Typically, in my field a panel member is asked to review about 12 proposals, and participate in the panel discussions of additional 40 or so proposals. On several occasions I have been the only applied mathematician on an interdisciplinary panel of about 15 members. In the case of programs that are directly related to my field, I have been one of about 10 panelists chosen for that year by the program director.
    • 2008 to  Present
      Program Organizer
      14 International Conferences and Workshops
      1. Co-organizer of the special session on Generalized Radon Transforms and Applications in Imaging, “Modern Challenges in Imaging in the Footsteps of Allan Cormack,” Tufts University, Boston, MA, August 5-9, 2019. 2. Co-organizer of the special session on Inverse Problems in Novel Imaging Modalities, “Applied Inverse Problems Conference,” Université Grenoble-Alpes, Grenoble, France, July 8-12, 2019. 3. Co-organizer of the mini-symposium on Analytic and Numerical Problems in Tomography, 9-th International Conference on “Inverse Problems: Modeling and Simulation”, May 21-25, 2018, Malta 4. Co-organizer of the mini-symposium on Cone/Compton Transforms and Their Applications, conference on the “100 Years of the Radon transform”, The Radon Institute of Computational and Applied Mathematics. Linz, Austria, March 27-31, 2017 5. Co-organizer of the workshop on Computational and Analytical Aspects of Image Reconstruction, The Institute for Computational and Experimental Research in Mathematics (ICERM), Brown University, Providence, July 13-17, 2015 6. Co-organizer of the Inverse Problems and Spectral Theory Conference, Dedicated to 65-th Birthday of Peter Kuchment, Texas A&M University, College Station, Texas, October 17-19, 2014 7. Co-organizer of the 2013 Texas Geometry and Topology Conference (TGTC) 49-th meeting, Arlington, Texas, Feb 08 – Feb 10, 2013 8. Co-organizer of the 2012 National Science Foundation CBMS Conference on Mathematical Methods of Computed Tomography, Arlington, Texas, May 29 – June 2, 2012 9. Co-organizer of the Special Session on Ultrasound and Photo-Acoustic Imaging, Southern Biomedical Engineering Conference (SBEC) 2011, Arlington, Texas, April 29 – May 1, 2011 10. Co-organizer of the Harmonic Analysis and Integral Geometry Workshop, at Louisiana State University, Baton Rouge, Louisiana, January 2011 11. Co-organizer of the AMS Special Session on Integral Geometry: Analysis and Applications, Joint Mathematics Meeting, New Orleans, Louisiana, January 2011 12. Co-organizer of the AMS Special Session on Inverse Problems: Analysis and Computations, Joint Mathematics Meeting, San Francisco, California, January 2010 13. Co-organizer of the 2008 National Science Foundation CBMS Conference on Inverse Scattering for Radar Imaging, Arlington, Texas, May 27-31 2008 14. Co-organizer of the 7-th AIMS International Conference on Dynamical Systems and Differential Equations, Arlington, Texas, May 18-21 2008
    • 2006 to  Present
      Reviewer, Journal Article
      20 Leading Journals in My Areas of Expertise
      I am a frequent reviewer for the following journals: 1) Applied Numerical Mathematics 2) IEEE Transactions on Computational Imaging 3) International Journal of Biomedical Imaging 4) Inverse Problems 5) Inverse Problems and Imaging 6) Inverse Problems in Science and Engineering 7) Journal of Fourier Analysis and Applications 8) Journal of Geophysics and Engineering 9) Journal of Mathematical Analysis and Applications 10) Journal of Mathematical Imaging and Vision 11) Journal of Modern Optics 12) Journal of Physics A: Mathematical and Theoretical 13) Mathematical Methods in the Applied Sciences 14) Measurement Science and Technology 15) Optics and Lasers in Engineering 16) Optics Express 17) Physics in Medicine and Biology 18) SIAM Journal on Applied Mathematics 19) SIAM Journal on Imaging Science 20) SIAM Journal on Mathematical Analysis
    • 2017 to  2019
      Guest Editor of a special issue of the journal (Bristol, UK)
      Inverse Problems (a journal)
    • Past to  2018
      Reviewer, Grant Proposal
      Deutsche Forschungsgemeinschaft (German Research Foundation)

Service to the Community

    • 2007 to  Present
      Volunteer
      Mid-Cities Math Circle (MC)^2