I am an applied mathematician primarily interested in real-life problems whose treatment requires analysis of a model / justification of the approximation or those that can be effectively tackled with analytical tools such as asymptotic methods or closed-form solution reducibility.

I enjoy learning new things while working on diverse subjects analyzing a problem, devising a constructive solution approach and verifying / implementing it numerically. The topics I have previously worked on include:

**wave propagation in porous media**(fluid / solid inclusion scattering for Biot elastodynamics equations);**nonlinear PDEs**(analysis of one NLS model for laser beams in photopolymers; Darboux transformation);**approximation theory**(approximation of square-integrable functions by traces of analytic functions with certain properties such as pointwise constraints);**integral equations**and**optimal bases construction**(spectral theory for compact one-dimensional integral operators with convolution kernels)**inverse magnetization problem**(analytical estimation of net magnetization moment components from partial measurements of magnetic field).

At the present time, I am a postdoctoral researcher at POEMS wave propagation group, Applied Mathematics department, ENSTA ParisTech, France.

Together with Laurent Bourgeois, we are dealing with **inverse obstacle problem** for wave equation in time-domain with limited space-time data.

You can **contact me** by *email*: dmvpon@gmail.com / dmitry.ponomarev@asc.tuwien.ac.at, or find me at:

*Office DA 06 L14*, Institute of Analysis & Scientific Computing, Vienna University of Technology, Wiedner Hauptstrasse 8, Vienna, Austria.