Publications

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De Hoop, M. V., Uhlmann, G., & Vasy, A. (2020). Recovery of Material Parameters in Transversely Isotropic Media. Archive for Rational Mechanics and Analysis, 235(1), 141165. doi:10.1007/s00205019014215 

Krupchyk, K., & Uhlmann, G. (2020). A Remark on Partial Data Inverse Problems for Semilinear Elliptic Equations. Proceedings of the American Mathematical Society, 148(2), 681685. doi:10.1090/proc/14844 

De Hoop, M. V. ,Uhlmann, G., & Wang, Y. (2020). Nonlinear interaction of waves in elastodynamics and an inverse problem. Mathematische Annalen, 376(12), 765795. doi:10.1007/s0020801801796y 

Ghosh, T., Salo, M., & Uhlmann, G. (2020). The Calderón Problem for the Fractional Schrödinger Equation. Analysis and PDE, 13(2), 455475. doi:10.2140/apde.2020.13.455 

Uhlmann, G., & Wang, Y. (2020). Determination of SpaceTime Structures from Gravitational Perturbations. Communications on Pure and Applied Mathematics, 73(6), 13151367. doi:10.1002/cpa.21882 

Ghosh, T., Rüland, A., Salo, M., & Uhlmann, G. (2020). Uniqueness and Reconstruction for the Fractional Calderón Problem with a Single Measurement. Journal of Functional Analysis, 279(1), 108505. doi:10.1016/j.jfa.2020.108505 

Lassas, M., Oksanen, L., Stefanov, P., & Uhlmann, G. (2020). The Light Ray Transform on Lorentzian Manifolds. Communications in Mathematical Physics, 377(2), 13491379. doi:10.1007/s00220020037036 

De Hoop, M. V. , Uhlmann, G., & Wang, Y. (2019). Nonlinear responses from the interaction of two progressing waves at an interface. Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire, 36(2), 347–363. doi: 10.1016/j.anihpc.2018.04.005 

Paternain, G. P., Uhlmann, G., & Zhou, H. (2019). Lens Rigidity for a Particle in a Yang–Mills Field. Communications in Mathematical Physics, 366(2), 681–707. doi: 10.1007/s00220019033886 

Deng, Y., Liu, H., & Uhlmann, G. (2019). On an Inverse Boundary Problem Arising in Brain Imaging. Journal of Differential Equations, 2471–2502. doi. 10.1016/j.jde.2019.03.019 

Stefanov, P. D., Uhlmann, G., Vasy, A., & Zhou, H. (2019). Travel Time Tomography. Acta Mathematica Sinica, English Series, 35(6), 1085–1114. doi: 10.1007/Fs1011401983380 

Krupchyk, K., & Uhlmann, G. (2019). Stability estimates for partial data inverse problems for Schrödinger operators in the high frequency limit. Journal De Mathématiques Pures Et Appliquées, 126, 273–291. doi: 10.1016/j.matpur.2019.02.017 

Lai, R., Li, Q., & Uhlmann, G. (2019). Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling. SIAM Journal on Applied Mathematics, 79(6), 23402358. doi:10.1137/18M1207582 

Hintz, P., & Uhlmann, G. (2019). Reconstruction of Lorentzian Manifolds from Boundary Light Observation Sets. International Mathematics Research Notices, 2019(22), 69496987. doi:10.1093/imrn/rnx320 

Yeung, T. S., Chung, E. T., & Uhlmann, G. (2019). Numerical Inversion of ThreeDimensional Geodesic XRay Transform Arising from Travel Time Tomography. SIAM Journal on Imaging Sciences, 12(3), 12961323. doi:10.1137/18m1183340 

Caday, P., De Hoop, M. V., Katsnelson, V., & Uhlmann, G. (2019). Reconstruction of piecewise smooth wave speeds using multiple scattering. Transactions of the American Mathematical Society, 372(2), 12131235. doi:10.1090/tran/7632 

Paternain, G. P., Salo, M., Uhlmann, G., & Zhou, H. (2019). The geodesic Xray transform with matrix weights. American Journal of Mathematics, 141(6), 17071750. doi:10.1353/ajm.2019.0045 

De Hoop, M. V. , Uhlmann, G., & Zhai, J. (2019). Inverting the Local Geodesic Ray Transform of Higher Rank Tensors. Inverse Problems, 35(11), 115009. doi:10.1088/13616420/ab1ace 

Caday, P., De Hoop, M. V., Katsnelson, V., & Uhlmann, G. (2018). Scattering Control for the Wave Equation with Unknown Wave Speed. Archive for Rational Mechanics and Analysis, 231(1), 409–464. doi: 10.1007/s0020501812838 

Stefanov, P., Uhlmann, G., & Vasy, A. (2018). Inverting the local geodesic Xray transform on tensors. Journal d'Analyse Mathématique, 136(1), 151–208. doi: 10.1007/s1185401800583 

Krupchyk, K., & Uhlmann, G. (2018). Inverse Problems for Magnetic Schrödinger Operators in Transversally Anisotropic Geometries. Communications in Mathematical Physics, 361(2), 525–582. doi: 10.1007/s0022001831820 

Krupchyk, K., & Uhlmann, G. (2018). Inverse problems for advection diffusion equations in admissible geometries. Communications in Partial Differential Equations, 43(4), 585–615. doi: 10.1080/03605302.2018.1446163 

Holman, S., & Uhlmann, G. (2018). On the microlocal analysis of the geodesic Xray transform with conjugate points. Journal of Differential Geometry, 108(3), 459–494. doi: 10.4310/jdg/1519959623 

Assylbekov, Y. M., Monard, F., & Uhlmann, G. (2018). Inversion formulas and range characterizations for the attenuated geodesic ray transform. Journal De Mathématiques Pures Et Appliquées, 111, 161–190. doi: 10.1016/j.matpur.2017.09.006 

Lassas, M., Uhlmann, G., & Wang, Y. (2018). Inverse Problems for Semilinear Wave Equations on Lorentzian Manifolds. Communications in Mathematical Physics, 360(2), 555–609. doi: 10.1007/s0022001831357 

Ilmavirta, J., & Uhlmann, G. (2018). Tensor tomography in periodic slabs. Journal of Functional Analysis, 275(2), 288–299. doi: 10.1016/j.jfa.2018.04.004 

Palacios, B., Uhlmann, G., & Wang, Y. (2018). Quantitative Analysis of Metal Artifacts in Xray Tomography. SIAM Journal on Mathematical Analysis, 50(5), 4914–4936. doi: 10.1137/17m1160392 

Lai, R., Shankar, R., Spirn, D. and Uhlmann, G. (2017). An Inverse Problem from Condensed Matter Physics. Inverse Problems, 33(11), p.115011. 

Stefanov, P., Uhlmann, G., & Vasy, A. (2017). Local recovery of the compressional and shear speeds from the hyperbolic DN map. Inverse Problems, 34(1), 014003. doi: 10.1088/13616420/aa9833 

Lassas, M., Oksanen, L., Stefanov, P., & Uhlmann, G. (2017). On the Inverse Problem of Finding Cosmic Strings and Other Topological Defects. Communications in Mathematical Physics, 357(2), 569–595. doi: 10.1007/s0022001730290 

Palacios, B., Uhlmann, G., & Wang, Y. (2017). Reducing Streaking Artifacts in Quantitative Susceptibility Mapping. SIAM Journal on Imaging Sciences, 10(4), 1921–1934. doi: 10.1137/16m1096475 

Krupchyk, K. and Uhlmann, G. (2016). The Calderón Problem with Partial Data for Conductivities with 3/2 Derivatives. Communications in Mathematical Physics, 348(1), pp.185219. doi:10.1007/s002200162666z 

Uhlmann, G. and Vasy, A. (2016). The inverse problem for the local geodesic ray transform. Inventiones mathematicae, 205(1), pp.83120. doi: 10.1007/s0022201506317 

Deng, Y., Liu, H., & Uhlmann, G. (2016). Full and Partial Cloaking in Electromagnetic Scattering. Archive for Rational Mechanics and Analysis, 223(1), 265–299. doi: 10.1007/s0020501610356 

Bal, G., Monard, F. and Uhlmann, G. (2015). Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields. SIAM Journal on Applied Mathematics, 75(5), pp.22142231. doi: 10.1137/151005269 

Guillarmou, C., Paternain, G., Salo, M. and Uhlmann, G. (2015). The XRay Transform for Connections in Negative Curvature. Communications in Mathematical Physics, 343(1), pp.83127. doi:10.1007/s002200152510x 

Liu, H. and Uhlmann, G. (2015). Determining both sound speed and internal source in thermo and photoacoustic tomography. Inverse Problems, 31(10), p.105005. doi:1088/02665611/31/10/105005 

Imanuvilov, O., Uhlmann, G. and Yamamoto, M. (2015). The NeumanntoDirichlet map in two dimensions. Advances in Mathematics, 281, pp.578593. doi:10.1088/02665611/31/10/105005 

