Books

Geometric Inverse Problems, With Emphasis in Two Dimensions (pdf)
G. Paternain, M. Salo, G. Uhlmann.
Cambridge University Press (2023)

Books edited

Inside-Out, Inverse Problems and Applications
MSRI publication 47, Cambridge University Press (2003).

Inverse Problems and Applications
Joint with G. Alessandrini
Contemporary Math AMS, Volume 333 (2003).

Geometric Methods in Inverse Problems and Boundary Control
Joint with C. Croke, I. Lasieka and M. Vogelius
IMA Publications, Vol. 137, Springer-Verlag (2004).

Partial Differential Equations and Inverse Problems
Joint with C. Conca, R. Manasevich and M. Vogelius
Contemporary Math 362 (2004).

Seminar on Inverse Problems and Applications
Co-Editor with G. Perla Menzala
Special issue of Computational and Applied Mathematics, vol 25, no. 2-3 Petropolis (2006).
- 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.”

Journal of Physics Conference Series Vol. 124
Applied Inverse Problems, Theoretical and Computational Aspects (2008).

Methods and Applications of Analysis
Co-Guest Editor with T.-S. Chung, M. Yamamoto and J. Zou
Vol. 17 (2010) and Vol. 1 (2011).

Tomography and Inverse Transport Theory
Co-Editor
Contemporary Math Vol. 559 (2012).

Inside-Out, Vol II. MSRI Publications Vol. 60
Cambridge University Press, 2012.

Special issue on complex geometrical optics (CGO) solutions
Co-Editor
Inverse Probl. Imaging 8 (2014), no. 4.

Book chapters

  • P. Stefanov, G. Uhlmann. Multi-wave methods via ultrasound. Inverse Problems and Applications, Inside Out II, MSRI Publications 60 , (2012), 271-323 (ed. by G. Uhlmann).
  • M. Lassas, M. Salo, G. Uhlmann. Wave phenomena Handbook of Mathematical Methods in Imaging, (2011), 867-909, O. Schetzer editor.
  • P. Stefanov, G. Uhlmann. Boundary and lens rigidity, tensor tomography and analytic microlocal analysis. Algebraic Analysis of Differential Equations, in honor of Prof. Takahiro Kawai on the occasion of his 65th birthday, edited by T. Aoki, H. Majima, Y. Katei, and N. Tose , (2008) pp. 275-293.
  • G. Uhlmann. Commentary on Calder\'on's paper (29) ``On an inverse boundary value problem". Selected Papers of A.P. Calder\'on, edited by Alexandra Bellow, Carlos Kenig and Paul Malliavin, AMS, (2008), 623-636.
  • G. Uhlmann. On the local Dirichlet to Neumann Map. New Analytic and Geometric Methods in Inverse Problems, Springer (2004), 261-279, edited by K. Bingham, Ya. V. Kurylev and E. Somersalo.
  • D. Finch, I.-R. Lan, G. Uhlmann. Microlocal analysis of the restricted X-ray transform with sources on a curve. Inside Out, Inverse Problems and Applications, MSRI Publications Volume 47, Cambridge University Press 2003, 193-218.
  • G. Uhlmann. Inverse boundary problems in two dimensions. Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume, (2003), 183-203, edited by D. Haroske, T. Runst, H-J. Schmeisser.
  • G. Uhlmann. The Cauchy data and the scattering relation. IMA Publications, 137, “Geometric methods in inverse problems and PDE control” (2003), 263-288.
  • G. Nakamura, G. Uhlmann. Complex geometrical optics solutions and pseudoanalytic matrices. Journal of Ill-Posed and Inverse Problems, 10 (2002), 305-338.
  • G. Uhlmann. Scattering by a metric Encyclopedia on Scattering, chapter 6.1.5 (2002), 1668-1677, edited by R. Pike and P. Sabatier.
  • G. Uhlmann. Inverse scattering in anisotropic media. Surveys on Solution Methods for Inverse Problems , (2001), 235-251, edited by David Colton, Heinz W. Engl, Alfred Louis, Joyce R. McLaughlin, William Rundell.
  • G. Uhlmann. Developments in inverse problems since Calderón's foundational paper. Essays on Harmonic Analysis and Partial Differential Equations in honor of Alberto P. Calderón , University of Chicago Press, (1999), 295-345. edited by M. Christ, C. Kenig and C. Sadosky.
  • G. Nakamura, G. Uhlmann. A layer stripping algorithm in elastic impedance tomography. IMA Volume 90 “Inverse Problems in Wave Propagation” (1997), 375-384, edited by G. Chavent, G. Papanicolau, P. Sacks and W. Symes.
  • G. Uhlmann. Inverse boundary value problems for elastic materials. Inverse problems in geophysical applications (Proceedings in Applied Mathematics) , 197 (1996) SIAM, 12-26.

    • Lecture notes

  • R. Melrose, G. Uhlmann. Introduction to Microlocal Analysis (Lecture Notes available).