The basis for any seismological studies is the theory of wave propagation in models of elastic media adequate to the real Earth. Earth's (effective) elastic material properties are typically anisotropic and heterogeneous. We give an overview of recent results on determining these properties regionally and globally using geometric and dynamic data with both active and passive, boundary and interior sources. Techniques from microlocal analysis and from Finsler geometry come into play.
Joint research with J. Ilmavirta, M. Lassas, T. Saksala, G. Uhlmann, A. Vasy and J. Zhai.

Professor Maarten V.de Hoop is the Simons Chair in Computational and Applied Mathematics and Earth Science at Rice University since 2015. He once worked at Shell and Schlumberger Cambridge Research. From 1995 to 2015, he worked at Colorado School of Mines firstly as assistant professor and then professor.

His recent review paper "Machine learning for data-driven discovery in solid Earth geoscience" is published on Science and draw much attention. He has broad research interests and has published more than 260 papers, a total of more than 3000 times of citation. His main professional experience focus on the following,

Inverse problems and microlocal analysis, and applications in exploration seismology and global seismology, coupled to geodynamics.

Multi-dimensional imaging, inverse scattering and tomography.

Nonlinear inverse boundary value problems: direct and iterative reconstruction; geometric inverse problems.

Development of multiscale methods and nonlinear theories of generalized functions applied to scattering and inverse scattering in media of low regularity, highly discontinuous and random media.

Structured matrix based methods, and massively parallel algorithms.