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 analysing a problem, devising a constructive solution approach and verifying / implementing it numerically. Current and past topics of my research 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 self-adjoint integral operators with convolution kernels);**inverse magnetisation problem**(analytical estimation of net magnetisation moment components from partial measurements of magnetic field);**inverse obstacle problem**(determining domain geometry for transient wave equation from partial Dirichlet+Neumann data);**efficient solution of the Helmholtz equation**(asymptotic-numerical methods for high-frequency wave propagation in homogeneous and heterogeneous media);**long-time behaviour analysis for solutions of wave equations**(extension of the limiting amplitude principle and decay problems in unbounded domains);**contact-mechanical problems**(integral equation approach; development, solution and analysis of a new model for wear in the punch-sliding problem).

Before that, I did my "specialist" program at Moscow Engineering Physics Institute MEPhI (Faculty of Theoretical and Experimental Physics), Russia, followed by 2 M.Sc. degrees: from the international EU Erasmus Mundus program MathMods (now InterMaths) in 2010, and McMaster University (Department of Mathematics & Statistics), Canada, in 2012, with a M.Sc. thesis work on the analysis of nonlinear wave propagation in photopolymers written under supervision of Dmitry Pelinovsky.

After my Ph.D., from 2016 to 2018, I was a post-doc at ENSTA Paris (France) working with Laurent Bourgeois on the inverse obstacle problem for the time-domain wave equation with constant coefficients.

Since 2018, I have been employed by Institute of Analysis & Scientific Computing at Technical University of Vienna (TU Wien), Austria, as a research postdoc, working in the group of Anton Arnold (in collaboration with Ilaria Perugia and Sjoerd Geevers from University of Vienna), on different aspects of linear wave propagation.

In 2022, I have been on a partial teaching contract at TU Wien, see the "Teaching" section for more details.

Since 2019, I have also been a permanent researcher (on unpaid leave) at the St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences.

Since October 2022, I hold ISFP (Inria Starting Faculty Position) at Centre Inria d'Université Côte d'Azur as a member of the FACTAS research team working on inverse problems.

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

*Office B.222*, FACTAS team,
Centre Inria d'Université Côte d'Azur,
2004 Route des Lucioles, 06902 Biot, France.