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Work partly supported by NSF grants. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Preprints

S. Liu, G. Uhlmann, Y. Yang. An inverse hyperbolic problem with application to joint photoacoustic parameter determination.

A. Feizmohammadi, K. Krupchyk, G. Uhlmann. Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds.

A. Feizmohammadi, Y. Kian, G. Uhlmann. Partial data inverse problems for reaction-diffusion and heat equations.

G. Uhlmann, J. Zhai. Invertibility of local geodesic transverse and mixed ray transforms II: higher order tensors.

G. Uhlmann, J. Zhai. Invertibility of local geodesic transverse and mixed ray transforms I: basic cases.

S. Bhattacharyya, K. Krupchyk, S. K. Sahoo, G. Uhlmann. Inverse problems for third-order nonlinear perturbations of biharmonic operators.

G. Covi, T. Ghosh, A. Rüland, G. Uhlmann. A reduction of the fractional Calderón problem to the local Calderón problem by means of the Caffarelli-Silvestre extension.

Y. Kian, G. Uhlmann. Determination of the sound speed and an initial source in photoacoustic tomography.

C.-L. Lin, Y.-H. Lin, G. Uhlmann. The Calderón problem for nonlocal parabolic operators.

J. Ilmavirta, G. Uhlmann. Breaking the conformal invariance with supernova neutrino tomography.

T. Ghosh, G. Uhlmann. The Calderón problem for nonlocal operators.

M. Lassas, G. Uhlmann, Y. Wang. Determination of vacuum space-times from the Einstein-Maxwell equations.

Y. Kurylev, M. Lassas, G. Uhlmann. Linearization Stability Results and Active Measurements for the Einstein-Scalar Field Equations.

Y. Kurylev, M. Lassas, G. Uhlmann. Determination of structures in the space-time from local measurements: a detailed exposition.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Comment on "Scattering Theory Derivation of a 3D Acoustic Cloaking Shell".

To appear

A. Feizmohammadi, T. Ghosh, K. Krupchyk, G. Uhlmann. Fractional anisotropic Calderón problem on closed Riemannian manifolds. J. Differential Geometry.

L. Oksanen, M. Salo, P. Stefanov, G. Uhlmann. Inverse Problems for Real Principal Type Operators. American Journal of Math.

G. Paternain, M. Salo, G. Uhlmann, H. Zhou. The geodesic X-ray transform with matrix weights. American Journal of Math.

Published

2024

K. Krupchyk, G. Uhlmann, L. Yan. A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds. Proceedings of the American Math. Soc., 152 (2024), 2413-2422.

R.-Y. Lai, G. Uhlmann, H. Zhou. Recovery of coefficients in semilinear transport equations. Archive for Rational Mechanics and Analysis, 248 (2024), no. 4, Paper No. 62, 41 pp.

H. Quan, G. Uhlmann. The Calderón problem for the fractional Dirac operator. Math. Research Letters, 31 (2024), 279-302.

G. Uhlmann, Y. Wang. The anisotropic Calderón problem for fixed high frequency. SIAM J. Math Analysis, 56 (2024), 4084-4103.

G. Uhlmann, J. Zhai. Determination of the density in a nonlinear elastic wave equation. Math. Annalen., 390 (2024), 2825-2858.

2023

C. Carstea, T. Ghosh, G. Uhlmann. An inverse problem for the porous medium equation with a possible absorption term. SIAM J. Math. Analysis, 55 (2023), 162-185.

Y. Kian, K. Krupchyk, G. Uhlmann. Partial data inverse problems for quasilinear conductivity equations. Math. Annalen, 385 (2023), 1611-1638.

Y. Kian, G. Uhlmann. Recovery of nonlinear terms for reaction diffusion equations from boundary measurements. Archive for Rational Mechanics and Analysis, 247 (2023), paper 6, 20pp.

K. Krupchyk, G. Uhlmann. Inverse problems for nonlinear magnetic Schrödinger equations on conformally transversally anisotropic manifolds. Analysis and PDE, 16 (2023), 1825-1868.

G. Uhlmann, Y. Wang. Recovery of black hole mass from a single quasinormal mode. To appear, Comm. Math. Physics. Comm. Math. Physics, 401 (2023), 925-936.

G. Uhlmann, Y. Zhang. An inverse boundary value problem arising in nonlinear acoustics. SIAM J. Math Analysis, 55 (2023), 1364-1404.

2022

S. Acosta, G. Uhlmann, J. Zhai. Nonlinear ultrasound imaging modeled by a Westervelt equation. SIAM J. Appl. Math, 82 (2022), 408-426.

S. Bhattacharyya, M. de Hoop, V. Katsnelson, G. Uhlmann. Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data. SIAM J. Imaging Sciences, 15 (2022), 1910-1943.

S. Bhattacharyya, M. de Hoop, V. Katsnelson, G. Uhlmann. Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators. GEM Int. J. Geomath., 13 (2022), no. 1, Paper No. 9, 46 pp.

G. Covi, K. Mönkkönen, J. Railo, G. Uhlmann. The higher order fractional Calderón problem for linear local operators: uniqueness. Advances in Math., 399 (2022), 108246.

A. Feizmohammadi, Y. Kian, G. Uhlmann. An inverse problem for a quasilinear convection-diffusion equation. Nonlinear Analysis, 222 (2022), Paper No. 112921, 30 pp.

P. Hintz, G. Uhlmann, J. Zhai. An inverse boundary value problem for a semilinear wave equation on Lorentzian manifolds. International Math. Research Notices (IMRN), 17 (2022), 13181-13211.

P. Hintz, G. Uhlmann, J. Zhai. The Dirichlet to Neumann map for a semilinear wave equation on Lorentzian manifolds. Comm in PDE, 47 (2022), 2363-2400.

K. Krupchyk, M. Salo, G. Uhlmann, J.-N. Wang. On the scientific work of Victor Isakov. Inverse Problems and Imaging, 16 (2022), 1429-1445.

Y. Kurylev, M. Lassas, L. Oksanen, G. Uhlmann. Inverse problems for Einstein-scalar field equations. Duke Math. J. , 171 (2022), 3215-3282.

R.-Y. Lai, G. Uhlmann, J Zhai, H. Zhou. Single pixel X-ray transform and related inverse problems. SIAM J. Imaging Sciences, 15 (2022), 1894-1909.

A. Sa Barreto, G. Uhlmann, Y. Wang. Inverse scattering for critical semilinear wave equations. Pure and Applied Analysis, 4 (2022), 191-223.

G. Uhlmann, Y. Zhang. Inverse boundary value problems for wave equations with quadratic nonlinearities. J. Differential Equations, 309 (2022), 558-607.

2021

S. Bhattacharyya, T. Ghosh, G. Uhlmann. Inverse problems for the fractional-Laplacian with lower order non-local perturbations. Trans. Amer. Math. Soc., 374 (2021), 3053-3075.

P. Caday, M. de Hoop, V. Katsnelson, G. Uhlmann. Recovery of discontinuous Lamé parameters from local dynamic Cauchy data. Comm. in PDE, 46 (2021), 680-715.

C. Carstea, A. Feizohammadi, Y. Kian, K. Krupchyk, G. Uhlmann. The Calderón inverse problem for isotropic quasilinear conductivities. Adv. in Math., 391 (2021), 107956.

M. de Hoop, T. Saksala, G. Uhlmann, J. Zhai. Generic uniqueness and stability for mixed ray transforms. Transactions of the AMS, 374 (2021), 6085-6144.

A. Feizohammadi, K. Krupchyk, L. Oksanen, G. Uhlmann. Reconstruction in the Calderón problem on conformally transversally anisotropic manifolds. J. Functional Analysis, 281 (2021), 109191.

P.-Z. Kow, G. Uhlmann, J.-N. Wang. Optimality of increasing stability for an inverse boundary value problem. SIAM J. Math. Anal., 53 (2021), 7062-7080.

R.-Y. Lai, G. Uhlmann, Y. Yang. Reconstruction of the collision term in the nonlinear Boltzmann equation. SIAM J. Math Analysis, 53 (2021), 1049-1069.

P. Stefanov, G. Uhlmann, A. Vasy. Local and global boundary rigidity and the geodesic X-ray transform in the normal gauge. Annals of Math. , 194 (2021), 1-95.

P. Stefanov, G. Uhlmann, A. Vasy. The transmission problem in linear isotropic elasticity. Pure and Applied Analysis, 3 (2021), 109-161.

G. Uhlmann, Y. Yang, H. Zhou. Travel time tomography in stationary spacetimes. Journal of Geometric Analysis, 31 (2021), 9573-9596.

G. Uhlmann, J. Zhai. Inverse problems for nonlinear hyperbolic equations. Discrete and Continuous Dynamical Systems, 41 (2021), 455-469.

G. Uhlmann, J. Zhai. On an inverse boundary value problem for a nonlinear elastic wave equation. Journal des Mathématiques Pures et Appliquées, 153 (2021), 114-136.

2020

M. de Hoop, G. Uhlmann, A. Vasy. Recovery of material parameters in transversely isotropic media. Archive for Rational Mechanics and Analysis , 235 (2020), 141-165.

M. de Hoop, G. Uhlmann, Y. Wang. Nonlinear interaction of waves in elastodynamics and an inverse problem. Math. Annalen , 376 (2020), 765-795.

T. Ghosh, A. Ruland, M. Salo, G. Uhlmann. Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. J. Functional Analysis , 279 (2020), 108505.

T. Ghosh, M. Salo, G. Uhlmann. The Calderón problem for the fractional Schrödinger equation. Analysis and PDE , 13 (2020), 455-475.

K. Krupchyk, G. Uhlmann. A remark on partial data inverse problems for semilinear elliptic equations. Proceedings Amer. Math. Soc., 148 (2020), 681-685.

K. Krupchyk, G. Uhlmann. Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities. Mathematics Research Letters, 27 (2020), 1801-1824.

C. Munoz, G. Uhlmann. The Calderón problem for quasilinear elliptic equations. Annales Institut Henri Poincaré, Analyse Non-Linéaire , 37 (2020), 1143-1166.

L. Oksanen, M. Lassas, P. Stefanov, G. Uhlmann. The light ray transform on Lorentzian manifolds. Comm. Math. Phys., 377 (2020), 1349-1379.

G. Uhlmann, Y. Wang. Convolutional neural networks in phase space and inverse problems. SIAM J. Appl. Math. , 80 (2020), 2560-2585.

G. Uhlmann, Y. Wang. Determination of space-time structures from gravitational perturbations. Comm. Pure and Appl. Math. , 73 (2020), 1315-1367.

2019

T.-S. Au Yeung, E. Chung, G. Uhlmann. Numerical inversion of 3D geodesic X-ray transform arising from traveltime tomography. SIAM J. Imaging Sciences , 12 (2019), 1296-1323.

P. Caday, M. de Hoop, V. Katsnelson, G. Uhlmann. Reconstruction of piecewise smooth wave speeds using multiple scattering. Transactions of the AMS , 372 (2019), 1213-1235.

P. Caday, M. de Hoop, Y. Katsnelson, G. Uhlmann. Scattering control for the wave equation with unknown wave speed. Archive for Rational Mechanics and Analysis , 231 (2019), 409-464.

M. de Hoop, G. Uhlmann, Y. Wang. Nonlinear responses from the interaction of progressing waves at an interface. Annales de l'Institute Henri Poincaré, Analyse Non-Linéaire , 36 (2019), 347-363.

M. de Hoop, G. Uhlmann, J. Zhai. Inverting the local geodesic ray transform of higher rank tensors. Inverse Problems , 35 (2019), 115009.

Y. Deng, H. Liu, G. Uhlmann. On an inverse boundary problem arising in brain imaging. J. Differential Equations , 267 (2019), 2471-2502.

R. Graham, C. Guillarmou, P. Stefanov, G. Uhlmann. The X-ray transform and boundary rigidity for asymptotically hyperbolic manifolds. Annales Institut Fourier, Grenoble , 69 (2019), 2857-2919.

P. Hintz, G. Uhlmann. Reconstruction of Lorentzian manifolds from boundary light observation sets. International Math. Research Notices (IMRN) , 22 (2019), 6949-6987.

K. Krupchyk, G. Uhlmann. Stability estimates for partial data inverse problems for Schröger operators in the high frequency limit. Journal des Mathématiques Pures et Appliquées , 126 (2019), 273-291.

R.-Y. Lai, Q. Li, G. Uhlmann. Inverse problems for the stationary transport equation in the diffusion scaling. SIAM J. Appl. Math. , 79 (2019), 2340-2358.

G. Paternain, G. Uhlmann, H. Zhou. Lens rigidity for a particle in a Yang-Mills field. Comm. Math. Phys. , 366 (2019), 681-707.

P. Stefanov, G. Uhlmann, A. Vasy, H. Zhou, Travel time tomography. Acta Math. Sin. (Engl. Ser.), 35(2019), 1085-1114.

G. Uhlmann. Complex geometrical optics and the Calderón problem. Control and inverse problems for partial differential equations, Contemp. Appl. Math. CAM , 22 (2019), 107-169, Higher Ed. Press, Beijing.

2018

Y. Assylbekov, F. Monard, G. Uhlmann. Inversion formulas and range characterizations for the attenuated geodesic ray transform. Journal de Mathématiques Pures et Appliquées , 111 (2018), 161-190.

A. Greenleaf, M. Lassas, S. Siltanen, M. Santacesanaria, G. Uhlmann. Propagation and recovery of singularities in the inverse conductivity problem. Analysis and PDE , 11 (2018), 1901-1943.

A. Greenleaf, H. Kettunen, Y. Kurylev, M. Lassas, G. Uhlmann. Superdimensional metamaterial resonators. SIAM J. Appl. Math. , 78 (2018), 437-456.

S. Holman, G. Uhlmann. Microlocal analysis of the geodesic X-ray transform with conjugate points. J. Diff. Geometry , 108 (2018), 459-494.

J. Ilmavirta, G. Uhlmann. Tensor tomography in periodic slabs. Journal of Functional Analysis , 275 (2018), 288-299.

K. Krupchyk, G. Uhlmann. Inverse problems for advection diffusion equations in admissible geometries. Comm in PDE , 43 (2018), 585-615.

K. Krupchyk, G. Uhlmann. Inverse problems for magnetic Schrödinger operators in transversally anisotropic geometries. Comm. Math. Phys. , 361 (2018), 525-582.

K. Krupchyk, G. Uhlmann. L^p bounds on eigenfunctions for operators with double characteristics. Asymptotic Analysis , 106 (2018), 25-46.

Y. Kurylev, M. Lassas, G. Uhlmann. Inverse problems for Lorentzian manifolds and non-linear hyperbolic equations. Invent. Math. , 212 (2018), 781-857.

M. Lassas, G. Uhlmann, Y. Wang. Inverse problems for semilinear equations in Lorentzian manifolds. Comm. Math. Physics , 36 (2018), 555-609.

M. Lassas, L. Oksanen, P. Stefanov, G. Uhlmann. On the inverse problem of finding cosmic strings and other topological defects. Comm. Math. Phys. , 357 (2018), 569-595.

B. Palacios, G. Uhlmann, Y. Wang. Quantitative analysis of metal artifacts in X-ray tomography. SIAM J. Math. Anal. , 30 (2018), 4914-4936.

P. Stefanov, G. Uhlmann, A. Vasy. Inverting the local geodesic X-ray transform on tensors. Journal D'Analyse Math. , 136 (2018), 151-208.

P. Stefanov, G. Uhlmann, A. Vasy. Local recovery of the compressional and shear speeds from the hyperbolic DN map. Inverse Problems , 34 (2018), 014003.

2017

Y. Deng, H. Liu, G. Uhlmann. On regularized partial and full cloaks in acoustic scattering. Comm. PDE , 42 (2017), 821-851.

Y. Deng, H. Liu, G. Uhlmann. Regularized full and partial cloaks in electromagnetic scattering. Archive for Rational Mechanics and Analysis , 223 (2017), 265-299.

K. Krupchyk, G. Uhlmann. Absolute continuity of the periodic Schrödinger operator in transversal geometry. Journal of the European Math Society , 19 (2017), 531-550.

R.-Y. Lai, D. Spirn, R. Shankar, G. Uhlmann. An inverse problem from condensed physics. Inverse Problems , 33 (2017), 115011.

B. Palacios, G. Uhlmann, Y. Wang. Reducing streaking artifacts in quantitative susceptibility mapping. SIAM J. Imaging Sciences , 10 (2017), 1921-1934.

2016

C. Guillarmou, G. Paternain, M. Salo, G. Uhlmann. The X-ray transform for a connection in negative curvature. Comm. Math. Physics , 343 (2016), 83-127.

K. Krupchyk, G. Uhlmann. Inverse boundary problems for polyharmonic operators with unbounded potentials. J. Spectral Theory , 6 (2016), 145-183.

K. Krupchyk, G. Uhlmann. The Calderón problem with partial data for conductivities with 3/2 derivatives. Comm. Math. Physics , 348 (2016), 185-219.

J. Sjöstrand, G. Uhlmann. Local analytic regularity in the linearized Calderón problem. Analysis and PDE , 9 (2016), 515-544.

P. Stefanov, G. Uhlmann, A. Vasy. Boundary rigidity with partial data. J. Amer. Math. Soc. , 29 (2016), 299-332.

P. Stefanov, G. Uhlmann, A. Vasy. On the stable recovery of a metric from the hyperbolic DN map with incomplete data. Inverse Problems and Imaging , 10 (2016), 1141-1147.

G. Uhlmann, A. Vasy. The inverse problem for the local geodesic X-ray transform. Inventiones Math. , 205 (2016), 83-120.

2015

G. Bal, F. Monard, G. Uhlmann. Reconstruction of a fully anisotropic tensor from knowledge of displacement fields. SIAM J. Appl. Math. , 75 (2015), 2214-2231.

M. de Hoop, G. Uhlmann, A. Vasy. Diffraction by conormal singularities. Annales Scientifiques de l'Ecole Normale Superieure , 48 (2015), 351-408.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. Inverse boundary value problem by partial data for the Neumann-to-Dirichlet map in two dimensions. Advances in Math. , 281 (2015), 578-593.

K. Krupchyk, G. Uhlmann. On L^p resolvent estimates for elliptic operators on compact manifolds. Comm. in PDE , 40 (2015), 438-474.

R.-Y. Lai, G. Uhlmann, J.-N. Wang. Inverse boundary problem for the Stokes and the Navier Stokes equations in the plane. Archive for Rational Mechanics and Analysis , 215 (2015), 811-829.

J. Li, H. Liu, L. Rondi, G. Uhlmann. Regularized transformation optics for the Helmholtz equation: From partial cloak to full cloak. Comm. Math. Phys. , 335 (2015), 671-712.

H. Liu, G. Uhlmann. Determining both the sound speed and internal source in thermo- and photo-acoustic tomography. Inverse Problems , 31 (2015), 105005.

H. Liu, G. Uhlmann. Regularized transformation-optics in acoustic and electromagnetic scattering. Inverse Problems and Imaging, Panoramas and syntheses, Société Mathématique de France , 44 (2015), 111-136.

F. Monard, P. Stefanov, G. Uhlmann. The geodesic ray transform on Riemannian surfaces with conjugate points. Comm. Math. Physics , 337 (2015), 1491-1513.

G. Paternain, M. Salo, G. Uhlmann. Invariant distributions, Beurling transforms and tensor tomography in higher dimensions. Math. Annalen , 363 (2015), 305-362.

G. Paternain, M. Salo, G. Uhlmann. On the range of the attenuated ray transform for unitary connections. International Math. Research Notices , (2015), 873-897.

L. Pestov, G. Uhlmann, H. Zhou. An inverse kinematic problem with internal sources. Inverse Problems , 31 (2015), 055006.

Rakesh, G. Uhlmann. The point source inverse-backscattering problem. Contemporary Math. , 644 (2015), 279-289.

2014

V. Isakov, S. Nagayasu, G. Uhlmann, J.-N. Wang. Increasing stability of the inverse boundary value problem for the Schrödinger equation. Contemporary Math , 615 (2014), 131-141.

K. Krupchyk, M. Lassas, G. Uhlmann. Determining a first order perturbation of the biharmonic operator by partial boundary measurements. Transactions AMS , 366 (2014), 95-112.

K. Krupchyk, G. Uhlmann. Uniqueness in an inverse boundary problem for a magnetic Schrödinger operator with a bounded magnetic potential. Comm. Math. Phys. , 327 (2014), 993-1009.

L. Oksanen, G. Uhlmann. Photoacoustic and thermoacoustic tomography with an uncertain wave speed. Math Research Letters , 21 (2014), no. 5, 1199-1214.

G. Paternain, M. Salo, G. Uhlmann. Spectral rigidity and invariant distributions on Anosov manifolds. Journal of Differential Geometry , 98 (2014), 147-181.

G. Paternain, M. Salo, G. Uhlmann. Tensor Tomography: progress and challenges. Chinese Annals of Math. Ser. B , 35 (2014), 399-427.

Rakesh, G. Uhlmann. Uniqueness for the inverse backscattering problem for angularly controlled potentials. Inverse Problems , 30 (2014), 065005.

G. Uhlmann. Inverse problems: Seeing the Unseen. itCo Bulletin of Mathematical Sciences , 4 (2014), 209-279.

2013

P. Albin, C. Guillarmou, L. Tzou, G. Uhlmann. Inverse boundary problems for systems in two dimensions. Annales Institut Henri Poincaré , 14 (2013), 1551-1571.

G. Bal, G. Uhlmann. Reconstructions of coefficients in scalar second-order elliptic equations from knowledge of their solutions. Comm. Pure Appl. Math. , 66 (2013), 1692-1652.

M. de Hoop, G. Uhlmann, A. Vasy, H. Wendt. Multi-scale discrete approximations of Fourier integral operators associated with canonical transformations and caustics. SIAM Multiscale Modeling and Simulation , 11 (2013), 566-585.

S. Nagayasu, G. Uhlmann, J.-N. Wang. Increasing stability for the acoustic equation. Inverse Problems , 29 (2013), 020012.

G. Paternain, M. Salo, G. Uhlmann. Tensor tomography on surfaces. Inventiones Math. , 193 (2013), 229-247.

P. Stefanov, G. Uhlmann. Instability of the linearized problem in multiwave tomography of recovery both the source and the speed. Inverse Problems and Imaging , 7 (2013), 1367-1377.

P. Stefanov, G. Uhlmann. Is a curve flight path in SAR better than a straight one? SIAM J. Appl. Math. , 73 (2013), 1596-1612.

P. Stefanov, G. Uhlmann. Recovery of a source term or a speed with one measurement and applications. Transactions AMS , 365 (2013), 5737-5758.

G. Uhlmann. 30 years of Calderón's problem Séminaire Laurent Schwartz-EDP et applications , Exposé 23, 2012-2013.

2012

G. Bal, G. Uhlmann. Reconstructions for some coupled-physics inverse problems. Applied Mathematics Letters , 25 (2012), 1030-1033.

M. de Hoop, S. Holman, H. Smith, G. Uhlmann. Regularity and multi-scale discretization of the solution construction of hyperbolic equations with limited smoothness Applied and Computational Harmonic Analysis , 33 (2012), 330-353.

A. Greenleaf, Y. Kurylev, M. Lassas, U. Leonhardt, G. Uhlmann. Schrödinger's Hat: Electromagnetic and quantum amplifiers via transformation optics. Proceedings of the National Academy of Sciences (PNAS) , 109 (2012), 10169-10174.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. On uniqueness of Lamé coefficients from partial Cauchy data in three dimensions. Inverse Problems , 28 (2012), 125002.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. Partial data for general second order elliptic operators in two dimensions. Publ. Research Insti. Math. Sci. , 48 (2012), 971-1055.

K. Krupchyk, M. Lassas, G. Uhlmann. Inverse boundary value problems for the perturbed polyharmonic operator. Journal of Functional Analysis , 262 (2012), 1781-1801.

K. Krupchyk, M. Lassas, G. Uhlmann. Inverse problems with partial data for the magnetic Schrödinger operator in an infinite slab and on a bounded domain. Comm. Math. Phys. , 312 (2012), 87-126.

G. Paternain, M. Salo, G. Uhlmann. The attenuated ray transform for connections and Higgs fields. Geometric and Functional Analysis (GAFA) , 22 (2012), 1460-1489.

P. Stefanov, G. Uhlmann. The geodesic X-ray transform with fold caustics. Anal. and PDE, 5(2012), 219-260.

2011

K. Agarwal, X. Chen, L. Hu, H. Liu, G. Uhlmann. Polarization-invariant directional cloaking by transformation optics. Progress in Electromagnetics Research , 118 (2011), 415-423.

G. Bal, K. Ren, T. Zhou, G. Uhlmann. Quantitative thermo-acoustics and related problems. Inverse Problems, 27 (2011), 055007.

V. Brytik, M. de Hoop, H. Smith, G. Uhlmann. The elastic wave equation of limited smoothness. Comm. PDE, 36 (2011), 1683-1693.

X. Chen, G. Uhlmann. Cloaking a sensor for three dimensional Maxwell's equations: Transformation optics approach. Optics Express , 19 (2011), 20518-20530.

E. Chung, J. Qian, G. Uhlmann, H. Zhao. An adaptive phase method with application to reflection travel time tomography. Inverse Problems , 27 (2011) 115002.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Cloaking a sensor via transformation optics. Physical Review E, 83(2011), 016603.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Quantum and acoustic approximate cloaking. J. Spectral Theory, 1 (2011), 27-80.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. Inverse boundary value problem by measuring Dirichlet data and Neumann data on disjoint sets. Inverse Problems , 27 (2011), 085007.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. On determination of second order elliptic operators from partial Cauchy data. Proceedings National Academy of Sciences. , 108 (2011), 467-472.

C. Kenig, M. Salo, G. Uhlmann. Inverse problems for the anisotropic Maxwell equations. Duke Math. J., 157 (2011), 369-419.

C. Kenig, M. Salo, G. Uhlmann. Reconstruction from boundary measurements on admissible manifolds. Inverse Problems and Imaging, 5 (2011), 859 - 877.

K. Krupchyk, M. Lassas, G. Uhlmann. Inverse problems for differential forms on Riemannian manifolds with boundary. Comm. PDE., 36 (2011), 1475-1509.

C.-L. Lin, G. Nakamura, G. Uhlmann, J.-N. Wang. Quantitative unique continuation for the Lamé system with less regular coefficients. Methods and Applications of Analysis, 18(2011), 85-92.

C.-L. Liu, G. Uhlmann, J.-N. Wang. Asymptotic behavior of solutions of the stationary Navier-Stokes equation in a bounded domain. Indiana Math. J., 60 (2011), 2093-2106.

S. Nagayasu, G. Uhlmann, J.-N. Wang. Reconstruction of penetrable obstacles in acoustics. SIAM J. Math. Anal., 43 (2011), 189-211.

M. Salo, G. Uhlmann. The attenuated ray transform on simple surfaces. J. Diff. Geometry, 88(2011), 161-187.

P. Stefanov, G. Uhlmann. Thermoacoustic tomography arising in brain imaging. Inverse Problems, 27 (2011), 045004.

J. Qian, P. Stefanov, G. Uhlmann, H. Zhao. An efficient Neumann-series based algorithm for thermoacoustic and photoacoustic tomography with a variable sound speed. SIAM Journal on Imaging Sciences , 4 (2011), 850-883.

2010

G. Bal, G. Uhlmann. Inverse diffusion theory of photoacoustics. Inverse Problems, 26 (2010), 085010.

N. Dairbekov, G. Uhlmann. Reconstructing the metric and magnetic field from the scattering relation. Inverse Problems and Imaging, 4 (2010), 397-409.

O. Imanuvilov, G. Uhlmann, M. Yamamoto. The Calderón problem with partial data in two dimensions. Journal of the American Mathematical Society, 23 (2010), 655-691.

Y. Kurylev, M. Lassas, G. Uhlmann. Rigidity of broken geodesic flow and inverse problems. Amer. J. Math., 132 (2010), 529-562.

X. Li, G. Uhlmann. Inverse problems on a slab. Inverse Problems and Imaging, 4 (2010), 449-462.

C.-L. Lin, G. Uhlmann, J.-N. Wang. Optimal three-ball inequalities and quantitative uniqueness for the Stokes system. DCDS-A (Special issue dedicated to Professor Louis Nirenberg on the occasion of his 85th birthday) , 28 (2010), 1273-1290.

L. Päivärinta, M. Salo, G. Uhlmann. Inverse scattering for the magnetic Schrödinger operator. J. Funct. Anal., 259 (2010), 1771-1798.

2009

M. de Hoop, H. Smith, G. Uhlmann, R. van der Hilst. Seismic imaging with the generalized Radon transform: A curvelet transform perspective. Inverse Problems, 25 (2009), 025005.

D. Dos Santos Ferreira, C. Kenig, M. Salo, G. Uhlmann. Limiting Carleman weights and anisotropic inverse problems. Inventiones Mathematicae, 178 (2009), 119-171.

D. Dos Santos Ferreira, C. Kenig, J. Sjöstrand, G. Uhlmann. On the linearized local Calderón problem. Mathematical Research Letters, 16 (2009), 955-970.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Cloaking devices, electromagnetic wormholes and transformation optics. SIAM Review, 51 (2009), 3-33.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Invisibility and inverse problems. Bulletin of the American Mathematical Society, 46 (2009), 55-97.

S. Nagayasu, G. Uhlmann, J.-N. Wang. Depth dependent stability estimate in electrical impedance tomography. Inverse Problems, 25 (2009), 075001.

P. Stefanov, G. Uhlmann. Linearizing non-linear inverse problems and its applications to inverse backscattering. Journal of Functional Analysis, 256 (2009), 2842-2866.

P. Stefanov, G. Uhlmann. Local lens rigidity with incomplete data for a class of non-simple Riemannian manifolds. J. Differential Geometry, 82 (2009), 383-409.

P. Stefanov, G. Uhlmann. Thermoacoustic tomography with variable sound speed. Inverse Problems, 25 (2009), 075011 (16pp).

G. Uhlmann, J.-N. Wang, C.T. Wu. Reconstruction of inclusions in an elastic body. Journal de Mathématiques Pures et Appliquées, 91 (2009), 569-582.

G. Uhlmann, J.-N. Wang. Unique continuation property with general residual stress. Inverse Problems and Imaging, 3 (2009), 309-317.

G. Uhlmann. Calderón's problem and electrical impedance tomography. Inverse Problems, 25th Anniversary Volume , 25 (2009), 123011 (39pp.).

2008

F. Andersson, M. de Hoop, H. Smith, G. Uhlmann. A multi-scale approach to hyperbolic equations with limited smoothness. Comm. PDE., 33 (2008), 988-1017.

B. Frigyik, P. Stefanov, G. Uhlmann. The X-Ray transform for a generic family of curves and weights. J. Geometric Analysis, 18 (2008), 9-108.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Approximate quantum cloaking and almost trapped states. Physical Review Letters, 101 (2008), 220404.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Electromagnetic wormholes via handlebody constructions. Comm. Math. Phys., 281 (2008), 369-385.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Isotropic transformation optics: approximate acoustic and quantum cloaking. New Journal of Physics, 10 (2008), 115024-115051.

R. Melrose, G. Uhlmann. Generalized backscattering and the Lax-Phillips transform. Serdica Math. J., 34 (2008), 355-372.

P. Stefanov, G. Uhlmann. An inverse source problem arising in optical molecular imaging. Analysis & PDE, 1 (2008), 115-126.

P. Stefanov, G. Uhlmann. Integral geometry of tensor fields on a class of non-simple Riemannian manifolds. American J. Math., 130 (2008), 239-268.

H. Takuwa, G. Uhlmann, J.-N. Wang. Complex geometrical optics solutions for anisotropic equations and applications. Journal of Inverse and Ill-Posed Problems, 16 (2008), 791-804.

G. Uhlmann, J.-N. Wang. Complex geometrical optics solutions and reconstruction of discontinuities. SIAM J. Appl. Math., 68 (2008), 1026-1044.

2007

A. Bukhgeim, G. Dyatlov, G. Uhlmann. Unique continuation for hyperbolic equations with memory. Journal of Inverse and Ill-Posed Problems, 15 (2007), 587-598.

E. Chung, J. Qian, G. Uhlmann, H. Zhao. A new phase space method for recovering the index of refraction from travel times. Inverse Problems, 23 (2007), 309-329.

N. Dairbekov, G. Paternain, P. Stefanov, G. Uhlmann. The boundary rigidity problem in the presence of a magnetic field. Advances in Math., 216 (2007), 535-609.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Effectiveness and improvement of cylindrical cloaking with the SHS lining. Optics Express, 15 (2007), 12717-12734.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Electromagnetic wormholes and virtual magnetic monopoles. Physical Review Letters, 99 (2007), 183901-183904.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Full-wave invisibility of active devices at all frequencies. Comm. Math. Phys., 275 (2007), 749-789.

H. Heck, G. Uhlmann, J.-N. Wang. Reconstruction of obstacles immersed in an incompressible fluid. Inverse Problems and Imaging, 1 (2007), 63-76.

T. Ide, H. Isozaki, S. Nakata, S. Siltanen, G. Uhlmann. Probing for electrical inclusions with complex spherical waves. Comm. Pure and Applied Math., 60 (2007), 1415-1442.

C. Kenig, D. Dos Santos Ferreira, J. Sjöstrand, G. Uhlmann. Determining the magnetic Schrödinger operator from partial Cauchy data. Comm. Math Phys., 271 (2007), 467-488.

C. Kenig, J. Sjöstrand, G. Uhlmann. The Calderón problem for partial Cauchy data. Annals of Math., 22 (2007), 431-445.

C. Nolan, G. Uhlmann. Parametrices for symmetric systems with multiplicities. Wave Motion, 44 (2007), 231-247.

G. Uhlmann, J.-N. Wang. Complex spherical waves for the elasticity system and probing of inclusions. SIAM J. Math. Analysis, 38 (2007), 1967-1980.

2006

M. V. de Hoop, G. Uhlmann. Characterization and source-receiver continuation of seismic reflection data. Comm. Math. Phys., 263 (2006), 1-19.

2005

G. Nakamura, G. Uhlmann, J.-N. Wang. Oscillating decaying solutions, the Runge approximation property and their application to inverse problems. Journal des Mathematiques Pures et Appliquées, 84 (2005), 21-54.

G. Nakamura, G. Uhlmann, J.-N. Wang. Reconstruction of cracks in an inhomogeneous anisotropic elastic medium using point sources. Advances in Applied Math, 34 (2005), 591-615.

L. Pestov, G. Uhlmann. Two dimensional, compact, simple Riemannian manifolds are boundary distance rigid. Annals of Math, 161 (2005), 1089-1106.

V. Sharafutdinov, M. Skokan, G. Uhlmann. Regularity of ghosts in tensor tomography. Journal of Geometrical Analysis, 15 (2005), 517-560.

P. Stefanov, G. Uhlmann. Boundary rigidity and stability for generic simple metrics. Journal AMS, 18 (2005), 975-1003.

P. Stefanov, G. Uhlmann. Recent progress on the boundary rigidity problem. Electr. Res. Announc. Amer. Math. Soc., 11 (2005), 64-70.

P. Stefanov, G. Uhlmann. Stable determination of generic simple metrics from the hyperbolic Dirichlet-to-Neumann map. International Math Research Notices (IMRN), 17 (2005), 1047-1061.

2004

H. Ammari, G. Uhlmann. Reconstruction of the potential from partial Cauchy data for the Schrödinger Equation. Indiana Math J., 53 (2004), 169-184.

H. Isozaki, H. Makazawa, G. Uhlmann. Inverse scattering in nuclear physics-optical model. J. Math. Physics, 45I (2004), 2613-2632.

H. Isozaki, G. Uhlmann. Hyperbolic geometry and the local Dirichlet-to-Neumann map Advances in Math., 188 (2004), 294-314.

H. Kang, G. Uhlmann. Inverse problems for the Pauli Hamiltonian in two dimensions. Journal of Fourier Analysis and Applications, 10 (2004), 201-215.

G. Nakamura, G. Uhlmann, J.-N. Wang. Unique continuation property for elliptic systems and crack determination in anisotropic elasticity. Contemp. Math., 362 (2004), 321-338.

L. Pestov, G. Uhlmann. Characterization of the range and inversion formulas for the geodesic X-ray transform. International Mathematical Research Notices (IMRN), 80 (2004), 4331-4347.

L. Pestov, G. Uhlmann. The boundary distance function and the Dirichlet-to-Neumann map. Math. Research Letters, 11 (2004), 285-298.

P. Stefanov, G. Uhlmann. Local uniqueness for the inverse obstacle problem at fixed energy and fixed angle. Proc. Amer. Math. Soc., 132 (2004), 1351-1354.

P. Stefanov, G. Uhlmann. Stability estimates for the X-ray transform of tensor fields and boundary rigidity. Duke Math. J., 123 (2004), 445-467.

G. Uhlmann, A. Vasy. Inverse problems in N-body scattering. Contemporary Math., 348 (2004), 135-154.

2003

A. Greenleaf, M. Lassas, G. Uhlmann. On nonuniqueness for Calderón's inverse problem. Mathematical Research Letters, 10 (2003), 685-693.

A. Greenleaf, M. Lassas, G. Uhlmann. The Calderón Problem for Conormal Potentials I: Global Uniqueness and Reconstruction. Comm. on Pure and Applied Math., 61 (2003), 328-352.

S. Hansen, G. Uhlmann. Propagation of polarization in elastodynamics with residual stress and travel times. Math. Annalen, 326 (2003), 563-587.

M. Lassas, V. Sharafutdinov, G. Uhlmann. Semiglobal boundary rigidity for Riemannian metrics. Math. Annalen, 325 (2003), 767-793.

M. Lassas, M. Taylor, G. Uhlmann. The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary. Communications in Analysis and Geometry, 11 (2003), 207-221.

G. Nakamura, G. Uhlmann, J.-N. Wang. Reconstruction of cracks in an inhomogeneous, anisotropic elastic medium. Journal de Mathématiques Pures et Appliquées, 82 (2003), 11251-1276.

C. Nolan, G. Uhlmann. Geometrical optics for anisotropic materials. Contemporary Math., 333 (2003), 177-185.

L. Päivärinta, A. Panchenko, G. Uhlmann. Complex geometrical optics solutions for Lipschitz conductivities. Revista Matemática Iberoamericana, 19 (2003), 57-72.

P. Stefanov, G. Uhlmann. Optical tomography in two dimensions. Methods and Applications of Analysis, 10 (2003), 1-9.

Z. Sun, G. Uhlmann. Anisotropic inverse problems in two dimensions. Inverse Problems, 19 (2003), 1001-1010.

G. Uhlmann, A. Vasy. Inverse problems in 3-body scattering. Contemporary Math., 333 (2003), 209-215.

G. Uhlmann, J.-N. Wang. Boundary determination of a Riemannian metric by the distance function. Advances in Applied Mathematics, 31 (2003), 379-387.

2002

A. Bukhgeim, G. Dyatlov, G. Uhlmann. Reconstruction of the memory from partial boundary measurements Contemporary Mathematics, 307 (2002), 39-46.

A. Bukhgeim, G. Uhlmann. Recovering a potential from partial Cauchy data. Comm. PDE, 27 (2002), 653-668.

G. Uhlmann, A. Vasy. Fixed energy inverse problem for exponentially decreasing potentials. Methods and Applications of Analysis, 9 (2002), 239-247.

G. Uhlmann, A. Vasy. Low energy inverse problems in three-body scattering. Inverse Problems, 18 (2002), 719-736.

2001

D. Finch, G. Uhlmann. The X-ray transform for a non-abelian connection in two dimensions. Inverse Problems, 17 (2001), 695-701.

A. Greenleaf, G. Uhlmann. The local Dirichlet-to-Neumann map via the two-plane transform. Duke Math. J. , 108 (2001), 599-617.

A. Greenleaf, G. Uhlmann. Characteristic space-time estimates for the wave equation. Math. Zeitschrift , 236 (2001), 113-131.

M. Lassas, G. Uhlmann. On recovering a Riemannian manifold from the Dirichlet-to-Neumann map. Annales Scientifiques de l'École Normale Suṕerieure , 34 (2001), 771-787.

G. Uhlmann. A time-dependent approach to the inverse backscattering problem. Inverse Problems, 17 (2001), 703-716.

G. Uhlmann. Recent progress in the anisotropic electrical impedance problem. Proceedings of the USA-Chile Workshop on Nonlinear Analysis (Vina del Mar-Valparaiso, 2000), Electron. J. Differ. Equ. Conf., 6 (2001), 303-311.

G. Uhlmann. Travel time tomography Journal of the Korean Mathematical Society, 38 (2001), 711-722.

2000

V. Sharafutdinov, G. Uhlmann. On deformation boundary rigidity and spectral rigidity of Riemannian surfaces with no focal points Journal Diff. Geometry , 56 (2000), 93-110.

1999

G. Nakamura, K. Tanuma, G. Uhlmann. Layer stripping for a transversely isotropic elastic medium. SIAM J. Appl. Math. , 59 (1999), 1879-1891.

G. Nakamura, G. Uhlmann. Inverse elastic scattering at a fixed energy. Journal of Inverse and Ill Posed Problems , 7 (1999), 283-288.

1998

M. Cheney, M. Lassas, G. Uhlmann. Uniqueness for a wave propagation problem in a half space. Inverse Problems , 14 (1998), 679-684.

P. Stefanov, G. Uhlmann. Rigidity for metrics with same lengths of geodesics. Mathematical Research Letters , 5 (1998), 83-96.

P. Stefanov, G. Uhlmann. Stability estimates for the hyperbolic Dirichlet to Neumann map in anisotropic media. J. Funct. Anal. , 154 (1998), 330-358.

G. Uhlmann. Inverse Boundary Value Problems for Partial Differential Equations. Documenta Mathematica , Extra Volume ICM 98, Vol III (1998) 77-86.

1997

R. Brown, G. Uhlmann. Uniqueness in the inverse conductivity problem with less regular conductivities Comm. PDE , 22 (1997), 1009-1027.

P. Stefanov, G. Uhlmann. Inverse backscattering for the acoustic equation. SIAM J. Math. Anal. , 28 (1997), 1191-1204.

Z. Sun, G. Uhlmann. Inverse problems in quasilinear anisotropic media. Amer. J. of Math. , 119 (1997), 771-797.

1996

Z. Sun, G. Uhlmann. Inverse problems in non-linear media. Journées “Equations Aux Derivees Partielles” , Saint-Jean des Monts (1996), XIV , 1-11.

1995

G. Nakamura, Z. Sun, G. Uhlmann. Global identifiability for an inverse problem for the Schrödinger equation in a magnetic field. Math. Annalen , 303 (1995), 377-388.

G. Nakamura, G. Uhlmann. Inverse boundary problems at the boundary for an elastic system. SIAM J. Math. Anal. , 26 (1995), 263-279.

1994

G. Nakamura, G. Uhlmann. Global uniqueness for an inverse boundary value problem arising in elasticity. Inventiones Math. , 118 (1994), 457-474. Erratum: Inventiones Math. , 152 (2003), 205-207.

1993

A. Greenleaf, G. Uhlmann. Recovery of singularities of a potential from singularities of scattering data. Comm. Math. Phys. , 157 (1993), 549-572.

G. Nakamura, G. Uhlmann. Identification of Lamé parameters from boundary measurements. American Journal of Math. , 115 (1993), 1161-1187.

Z. Sun, G. Uhlmann. Inverse scattering for singular potentials in two dimensions. Transactions AMS , 338 (1993), 363-374.

Z. Sun, G. Uhlmann. Recovery of singularities for formally determined inverse problems. Comm. Math. Phys. , 153 (1993), 431-445.

1992

A. Greenleaf, G. Uhlmann. Microlocal analysis of the two-plane transform. Contemp. Math. , 140 (1992), 65-71.

Z. Sun, G. Uhlmann. On an inverse boundary value problem for Maxwell's equations. Arch. Rational Mech. Anal. , 119 (1992), 71-83.

G. Uhlmann. Inverse boundary value problems and applications. Astérisque , 207 (1992) 153-211.

G. Uhlmann. Inverse boundary value problems for first order perturbations of the Laplacian. Lectures in Applied Mathematics , 30 (1992), 245-258.

1991

A. Greenleaf, G. Uhlmann. Composition of some singular Fourier integral operators II. Duke Math. J. , 64 (1991), 415-444.

Z. Sun, G. Uhlmann. Generic uniqueness for an inverse boundary value problem. Duke Math. Journal , 62 (1991), 131-155.

J. Sylvester, G. Uhlmann. Inverse problems in anisotropic media. Contemp. Math. , 122 (1991), 105-117.

1990

A. Greenleaf, G. Uhlmann. Composition of some singular Fourier integral operators and estimates for restricted X-ray transforms. Ann. Institut Fourier (Grenoble) , 40 (1990), 443-466.

A. Greenleaf, G. Uhlmann. Estimates for singular Radon transforms and pseudodifferential operators with singular symbols. Journal of Functional Analysis , 89 (1990), 202-232.

A. Greenleaf, G. Uhlmann. Microlocal techniques in integral geometry. Contemporary Math , 113 (1990), 121-135.

1989

A. Greenleaf, G. Uhlmann. Non-local inversion formulas for the X-ray transform. Duke Math. Journal , 58 (1989), 205-240.

J. Lee, G. Uhlmann. Determining anisotropic real-analytic conductivities by boundary measurements. Comm. Pure Appl. Math. , 42 (1989), 1097-1112.

1988

A. Nachman, J. Sylvester, G. Uhlmann. An n-dimensional Borg-Levinson theorem. Comm. Math. Phys. , 115 (1988), 595-605.

J. Sylvester, G. Uhlmann. Inverse boundary value problems at the boundary-continuous dependence. Comm. on Pure and Appl. Math. , 41 (1988), 197-219.

1987

J. Sylvester, G. Uhlmann. A global uniqueness theorem for an inverse boundary value problem. Annals of Math. , 125 (1987), 153-169.

1986

J. Sylvester, G. Uhlmann. A uniqueness theorem for an inverse boundary value problem in electrical prospection. Comm. on Pure and Appl. Math. , 39 (1986), 91-112.

1985

G. Uhlmann. Scattering by a potential. Lecture notes in Spanish, Acta Científica Venezolana , 36 (1985), 1-18.

1984

C. Callias, G. Uhlmann. Singular asymptotics approach to partial differential equations with isolated singularities in the coefficients. Research Announcements Bull. AMS. , 11 (1984), 172-176.

G. Mendoza, G. Uhlmann. A sufficient condition for local solvability for a class of operators with double characteristics. Amer. J. Math. , 106 (1984), 187-217.

1983

G. Mendoza, G. Uhlmann. A necessary condition for local solvability for a class of operators with double characteristics. J. Funct. Anal. , 52 (1983), 252-256.

1982

G. Uhlmann. Light intensity distribution in conical refraction. Comm. on Pure and Appl. Math. , 35 (1982), 69-80.

1981

V. Guillemin, G. Uhlmann. Oscillatory integrals with singular symbols. Duke. Math. J. , 48 (1981), 251-267.

1979

R. B. Melrose, G. Uhlmann. Lagrangian intersection and the Cauchy problem. Comm. on Pure and Appl. Math. , 32 (1979), 483-519.

R. B. Melrose, G. Uhlmann. Microlocal structure of involutive conical refraction. Duke. Math. J. , 43 (1979), 571-582.

G. Uhlmann. Parametrices for operators with multiple involutive characteristics. Comm. in PDE , 4 (1979), 571-582.

1977

G. Uhlmann. Pseudodifferential operators with involutive double characteristics. Communications in PDE , 2 (1977), 713-779.

Conference papers

E. Chung, J. Qian, G. Uhlmann, H. Zhao. A phase-space formulation for elastic-wave travel-time tomography. Journal of Physics: Conference Series, 124 (2008), 012018.

A. Greenleaf, Y. Kurylev, M. Lassas, G. Uhlmann. Inverse problems, invisibility, and artificial wormholes. Journal of Physics: Conference Series, 124 (2008), 012005.

G. Uhlmann, J.-N. Wang. Reconstruction of discontinuities in systems. Journal of Physics: Conference Series, 73 (2007), 012024-012033.

G. Uhlmann. Visibility and Invisibility. 6th International Congress on Industrial.and Appl. Math. (ICIAM) (2007), 381-408, Zurich, Switzerland.

G. Nakamura, G. Uhlmann, J.-N. Wang. Oscillating decaying solutions for elliptic systems. Contemporary Math., Workshop on Inverse Problems, Multi-Scale Analysis and Homogenization, 408 (2006), 219-230, Seoul.

L. Pestov, G. Uhlmann. The scattering relation and the Dirichlet-to-Neumann map. Contemporary Math., 412 (2006), 219-230.

G. Perla Menzala, G. Uhlmann. Seminar on Inverse problems and Applications Special issue of Computational and Applied Mathematics, vol 25, no. 2-3 Petropolis (2006), 25 2-3. (This issue was dedicated to celebrate the 25 years of the foundation of LNCC and 25 years of the seminal paper of A. P. Calderon “On an inverse boundary value problem.”)

A. Greenleaf, M. Lassas, G. Uhlmann. Anisotropic conductivities that cannot be detected by EIT. Physiological Measurement, 24 (2003), 413-420.

G. Uhlmann. The inverse kinematic problem in anisotropic media. Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 39-45, edited by G. C. Cohen, E. Heikkola, Patrick Joly and Pekka Neittaanmäki.

S. Hansen, G. Uhlmann. Determining acoustic and elastic parameters from travel times. Proceedings of 2002 ASME International Mechanical Engineering Congress and Exposition (IMECE 2002).

G. Nakamura, G. Uhlmann. Elastic impedance tomography. Proceedings of the 1995 Design Engineering Technical Conferences , vol DE-vol84-3, Part C (1995), 987-992, edited by H. T. Banks et al.

A. Greenleaf, G. Uhlmann. The modified Radon transform of Lax and Phillips in scattering theory. Proceedings of the Conference: “75 Years of the Radon Transform” , International Press (1994), 161-166, P. Milchor and S. Gindikin editors.

G. Nakamura, G. Uhlmann. Inverse Boundary and Scattering Problems for an Elastic Medium Proceedings of the Second International Symposium on “Inverse Problems in Engineering Mechanics”, Rotterdam-Brookfield , (1994), 165-168, H.D. Bui, M. Tanaka, M. Bonnet, H. Maigre, E. Luzzato and M. Reynier editors.

G. Nakamura, G. Uhlmann. Uniqueness for identifying Lamé moduli by Dirichlet to Neumann map. Proceedings ICM 1990, satellite conference on inverse problems in the engineering sciences (1991), ICM, Kyoto, Japan, Springer Verlag 133-138.

Z. Sun, G. Uhlmann. Generic uniqueness for determined inverse problems in 2 dimensions. Proceedings ICM 1990, satellite conference on inverse problems in the engineering sciences (1991), ICM, Kyoto, Japan. Springer Verlag 145-152.

J. Sylvester, G. Uhlmann. The Dirichlet to Neumann map and applications. SIAM proceedings series list, Inverse Problems in Partial Differential Equations (1989), 101-139, Arcata, California.

J. Sylvester, G. Uhlmann. Remarks on an inverse boundary value problem. Proceedings Oberwolfach Conference on topics in Pseudodifferential Operator, Lecture Notes in Math. , 1256 (1987), 430-441, H. Cordes, B. Gramsch and H. Widom, editors

J. Sylvester, G. Uhlmann. Inverse boundary value problems. Proceedings VIII ELAM, Lecture Notes in Math. , 1324 (1986), 320-328, Rio de Janeiro.

G. Uhlmann. Product type conormal distributions in scattering theory. Proceedings VII ELAM in Dynamical Systems and Partial Differential Equations , 155-160 (1986), Universidad Simón Bolívar.

G. Uhlmann. Microlocal Analysis and Scattering theory. Lecture notes in Spanish of series of talks given at VIII ELAM, Río de Janeiro, Brazil (1986).

J. Antoniano, G. Uhlmann. A functional calculus for a class of pseudodifferential operators with singular symbols. Proceedings of Symposia in Pure Mathematics , 43 (1985), 5-16.

G. Uhlmann. A boundary canonical transformation for a class of operators with double characteristics. Analysis, Geometry and Probability, Proceedings of the First Chilean Symposium on Mathematics , 93 (1985), 53-68.