Manual Geomathematics. Mathematical background and geo-science applications

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Math in a Geoscience Context

We equally collaborate with mathematicians and geoscientists and are at the intersection between these two disciplines. With its wide range of groups in geosciences, geophysics, and applied mathematics, TU Bergakademie Freiberg forms a perfect environment for this type of interdisciplinary research. The project aims at investigating potential field methods for use in geothermal exploration.

The contribution conducted at our group focusses on the analysis, development, and implementation of mathematical methods for the processing of magnetic potential field data. This position deals with the investigation and analysis of inverse magnetization problems and vector field decompositions on the sphere and sphere-like surfaces.

Student Resources

The underlying problems are motivated by the geophysical problem of inverting geomagnetic satellite data and local geomagnetic data for its sources, but here we are mainly interested in the mathematical aspects e. Candidates should have a MSc degree or equivalent in mathematics or a closely related field. The precise topic of the PhD studies can be adapted to the interests of the candidate.

Bibliographic Information

This position deals with the joint investigation of gravitational and magnetic potential field data. The candidate shall develop and investigate methods to characterize the correlation of magnetization and density based on corresponding potential field data.

Student Resources

A particular interest lies in multiscale approaches. The methods shall be tested with artificial and real data sets. This position deals with source separation for magnetic potential field data. The candidate shall develop and implement a method for the extraction of the crustal magnetic field contribution and the combination of global satellite data with local ground data.


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With its wide range of groups in geosciences, geophysics, and applied mathematics, TU Bergakademie Freiberg forms a perfect environment for this type of interdisciplinary research. The project aims at investigating potential field methods for use in geothermal exploration. The contribution conducted at our group focusses on the analysis, development, and implementation of mathematical methods for the processing of magnetic potential field data.

This position deals with the investigation and analysis of inverse magnetization problems and vector field decompositions on the sphere and sphere-like surfaces.

The underlying problems are motivated by the geophysical problem of inverting geomagnetic satellite data and local geomagnetic data for its sources, but here we are mainly interested in the mathematical aspects e. Candidates should have a MSc degree or equivalent in mathematics or a closely related field. The precise topic of the PhD studies can be adapted to the interests of the candidate.

A Multidisciplinary Graduate Program in Computational Geoscience

This position deals with the joint investigation of gravitational and magnetic potential field data. The candidate shall develop and investigate methods to characterize the correlation of magnetization and density based on corresponding potential field data.

3 Positions (2 PhD, 1 Postdoc)

A particular interest lies in multiscale approaches. The methods shall be tested with artificial and real data sets. This position deals with source separation for magnetic potential field data.

The candidate shall develop and implement a method for the extraction of the crustal magnetic field contribution and the combination of global satellite data with local ground data. Apart from the development of the method, much time will be invested in its implementation and the application to the available data sets.