M3. Tomographic Inverse Problems

Tomography has revolutionized diagnostic medicine, nondestructive evaluation and materials science. By nature, tomography is an inverse problem—recovering information about the structure or properties of an object using indirect data. Modern modalities include novel methods in X-ray CT, hybrid imaging, multi-modal imaging, multi-energy CT, ultrasound, Compton CT, and time-dependent problems. Each modality generates novel mathematics and new algorithms, many of which will be presented in this minisymposium. We will bring together young and established researchers from the inverse problems community to present their recent work and to foster discussion among participants.

Organizers:
Anuj Abhishek, University of North Carolina, Charlotte, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Jan Boman, Stockholm University, Sweden, This email address is being protected from spambots. You need JavaScript enabled to view it.
Venkateswaran P. Krishnan, Tata Institute for Fundamental Research, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Eric Todd Quinto, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.

Invited Speakers :
Ibtissem Ben Aicha, Université Tunis El-Manar, Tunisia, This email address is being protected from spambots. You need JavaScript enabled to view it.
An example of non-unique solvability for the generalized Abel-type integral equation  

Fedor Goncharov, Ecole Polytechnique, Paris, This email address is being protected from spambots. You need JavaScript enabled to view it.
An example of non-unique solvability for the generalized Abel-type integral equation                       

Fulton Gonzalez, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Invertible Distributions, Mean Value Operators, and Symmetric Spaces                                                          

Leonid Kunyansky, University of Arizona, USA, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Sparsity-based techniques for hybrid imaging modalities with missing low frequencies                                    

Rohit Mishra, University of Texas at Arlington, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.

Victor Palamodov, Tel Aviv University, Israel, This email address is being protected from spambots. You need JavaScript enabled to view it. 
Inverse problems in Compton Tomography

Eric Todd Quinto, Tufts University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstructions from integrals over non-analytic manifolds

Gaël Rigaud, University of Bremen,  This email address is being protected from spambots. You need JavaScript enabled to view it.
Limited data problems in Compton scattering tomography

Souvik Roy, University of Texas at Arlington, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.
Reconstruction of sparse log-conductivity in current density impedance imaging                                               

Suman Sahoo, TIFR Centre for Applicable Mathematics, India, This email address is being protected from spambots. You need JavaScript enabled to view it.
Symmetry from sectional integrals for convex domains

Arvind Saibaba, North Carolina State University, USA, This email address is being protected from spambots. You need JavaScript enabled to view it.

Manmohan Vashisth, Beijing Computational Science Research Center, China, This email address is being protected from spambots. You need JavaScript enabled to view it.




PLENARY SPEAKERS

Prof. Dr. Liliana Borcea

University of Michigan, USA
http://www-personal.umich.edu/~borcea/

Inverse Scattering in Random Media, Electro-Magnetic Inverse Problems, Effective Properties of Composite Materials, Transport in High Contrast, Heterogeneous Media

Prof. Dr. Bernd Hofmann

Chemnitz University of Technology, Germany
https://www.tu-chemnitz.de/mathematik/inverse_probleme/hofmann/

Regularization of Inverse and Ill-Posed Problems

Prof. Dr. John C Schotland

Yale University, USA
https://gauss.math.yale.edu/~js4228/

Inverse Problems with Applications to Imaging, Scattering Theory, Waves in Random Media, Nano-Scale Optics, Coherence Theory and Quantum Optics

Prof. Dr. Erkki Somersalo

Case Western Reserve University, USA
https://mathstats.case.edu/faculty/erkki-somersalo/

Computational and Statistical Inverse Problems, Probabilistic Methods for Uncertainty Quantification, Modeling of Complex Systems, Biomedical applications

Prof. Dr. Gunther Uhlmann

University of Washington, USA
https://sites.math.washington.edu/~gunther/

Inverse Problems and Imaging, Partial Differential Equations, Microlocal Analysis, Scattering Theory

Prof. Dr. Jun Zou

The Chinese University of Hong Kong, Hong Kong SAR
https://www.math.cuhk.edu.hk/~zou/

Numerical Solutions of Electromagnetic Maxwell Systems and Interface Problems, Inverse and Ill-Posed Problems, Preconditioned and Domain Decomposition Methods