Victor Palamodov

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Current research

Quantization of singular spaces

Inverse scattering and integral geometry

Systems of partial differential equations

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Recent publications

• A uniform reconstruction formula in integral geometry. preprint November 2011
• A new reconstruction method in integral geometry. arxiv:1109.2294v1 [math.DG] September 2011
• An analytic reconstruction for Compton scattering tomography in Lobachevski plane. Inverse Problems 27 (2011), 125004
• Hartogs extension for solutions of systems of differential equations. preprint 2010
• Reconstruction from a sampling of circle integrals in SO(3). Inverse Problems 26 (2010) 095008
• Inverse scattering as nonlinear tomography. Wave Motion 47 N8, pp. 635-640 (2010)
• Reconstruction of a differential form from its Doppler transform. SIAM J. Math. Anal. 41 N4, pp. 1713-1720 (2009)
• Remarks on the general Funk-Radon transform and thermoacoustic tomography. Inverse Problems and Imaging 4 N4, pp. 693-702 (2010)
• Quantum shape of compact domains in phase space. Contemp. Math. 481 AMS 2009 pp.117-136.
• Associative deformations of complex analytic spaces Letters in Math. Phys. (2007) 82, N2-3, 191-217.
• Infinitesimal deformation quantization of complex analytic spaces. Letters in Math. Phys. 79 (2007), N2, 131-142.
• Stable reconstruction from scattering data. Lecture notes, Calgary, 2006


Office address: School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv 69978
E-mail: palamodo("at")post.tau.ac.il

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Courses of 2007

Elements of the theory of Distributions

Syllabus:

Distributions and Sobolev-functions of one variable

Distributions of several variables

Basics of the Fourier Theory

Fourier transform of distributions

Calculations of Fourier transforms

Distributions and differential equations

Radon transform

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Courses of 2005

Riemann surfaces and Riemann-Roch theorem

Syllabus:

Reminder from complex analysis

Riemann surfaces. Examples.

Holomorphic functions and mappings.

Coverings, analytic continuation.

Topology, Riemann-Hurwitz theorem.

Differential forms, integrals, residue.

Sheaves, cohomology.

Finiteness theorem, Riemann-Roch theorem.

Serre's duality.

Abel's theorem and Jacobi's theory.

Lecture notes are available from the links:

RS0 RS1 RS2 RS3 RS4 RS5 RS6 RS7 RS8

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Riemann surfaces and Nonlinear equations:

Syllabus:

Basic facts on Riemann surfaces

Moduli and deformations of Riemann surfaces

Jacobi's theory and theta-functions

Baker-Akhiezer functions

Applications to integrable nonlinear equations: Kortweg de Vries etc.

Lecture notes are available from the links:

RSN0 RS9 RS10 RS11 RS12 RS13 RS14 RS15