Heidelberg Graduate School HGS MathComp

Research: Interdisciplinary, International, Excellent

HGS MathComp promotes computer-based methods in yet largely unexplored aresas in Medicine and Biosciences.
HGS MathComp promotes computer-based methods in yet largely unexplored areas in Medicine and Biosciences.

In Medicine & Bio Sciences

Complex processes in human physiology, systems biology, proteomics or in the cognitive sciences, are typically composed of hybrid models including detailed machanistic models based on reaction-diffusion equations and the black-box type of statistical models. For both types parameters have to be fitted and to be learned. HGS MathComp's students develop methods that bridge the loosly connected area of model training and validation of statistical models with parameter estimation.

(Supervisors and Doctoral Students involved)

Mathematics & Informatics

The application areas of modern mathematical and computational methods are ever growing. In this regard optimization-based methods play an ever increasing role. Optimization-based methods provide intelligent algorithms for modeling (...)

(Supervisors and Doctoral Students involved in this Area)

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HGS MathComp's resarch groups represent a unique spectrum of methodologies and applications in computational sciences.
HGS MathComp develops computer-based methods for yet largely unexplored aresas
HGS MathComp develops computer-based methods for yet largely unexplored aresas

Philosophy, Philology & Cultural Sciences

The methods of Scientific Computing entered important research areas outside science, such as economics, art history, linguistics and the studies of conservation of historical artifacts. These new fields of   computational science has been characterized as highly topical and innovative in recent years both in the priority programs of the   DFG, and on an international level.   Heidelberg University has identified it as one of the major scientific approaches with highest portential to act as a catalyst for interdisciplinary research throughout the University.

(Supervisors and Doctoral Students involved in this Area)

Chemistry, Earth and Material Sciences

All non-trivial systems such as live cells, organs or environmental systems at different scales and from different compartments, are characterized by and thrive on a high degree of spatial ordering and complex, often nonlinear, dynamics. It is impossible to understand or model these systems without taking their spatial ordering into account, and it is therefore imperative to deploy appropriate imaging techniques and to develop new methods for the analysis of the raw data they generate.

(Investigators and Doctoral Students involved in this Area)

To understand high complex systems it is imperative to deploy appropriate imaging techniques, which are developed by HGS MathComp Students.
To understand high complex systems it is imperative to deploy appropriate imaging techniques, which are developed by HGS MathComp Students.
HGS MathComp organizes scientific conferences, workshops or school of an international character on top issues in maths and informatics.
HGS MathComp organizes scientific conferences, workshops or school of an international character on top issues in maths and informatics.

Social Sciences and Economics

Commodity trading and management of associated risks have been gaining dramatically in volume, importance, and complexity over the past years. This is due to increased demand and to partial exhaustion of resources, as well as to a stronger influence of technological, political, social and environmental factors. The network of interacting factors have to be analyzed including supply and demand, the intrinsic dependence between different markets, e.g. between fuel and power markets, the technological processes, or transportation and storage for the better pricing of commodities and the management of revenue and risk.

(Supervisors and Doctoral Students involved in this Area)

 

Astronomy and Physics

Our physical envrionment comprises a network of highly nonlinear and strongly coupled processes, which are in a delicate equilibrium: External forces like the astronomical parameters that modulate solar energy and internal forcing from a multitude of processes that include volcano eruptions, earth quakes, anthropogenic emissions of greenhouse gases etc are forming our planet. HGS MathComp's students try to model and predict this large-scale complex system.

(Supervisors and Doctoral Students involved in this Area)

HGS MathComp works on data-driven adaptive models that allows for the pertinent parameters to change with time or with the state of the systems.
HGS MathComp works on data-driven adaptive models that allows for the pertinent parameters to change with time or with the state of the systems.