Head of Department: Niels O. Nygaard

See the presentation of our research areas.

Teaching takes place in accordance with the current course descriptions for the bachelor degree programme and in relation to the announced seminars etc. for Master's degree students and PhD students. In September 2003, new academic regulations were introduced for the Faculty of Science. The regulations imply 1-subject entries and teaching and examination over 9-week periods. All students at the Faculty of Science and Technology, now take part in the introductory mathematics course of 10 ECTS. In addition to lectures and exercises the introductory mathematics course includes ongoing activities in a mathematics laboratory.

The institute has a continuing presentation and visitor's programme aimed at young people attending upper secondary education, and has also organised presentations serving as continuing education for teachers working in upper secondary schools. The institute has provided scientific guidance to students in upper secondary education in connection with their project work on special study areas.

As per 1 February 2017 the department has a total of 33 PhD students, of which 20 are part-A students and 13 part-B students.

The aim of the Centre for Science Studies is to do:

- Research in the fields of history and philosophy of science and technology, science and society, and science communication
- Undergraduate and post-graduate teaching across research areas
- Research-based development of education and communication activities

Homepage: css.au.dk

Centre for Quantum Geometry of Moduli Spaces (QGM) was established in 2009 as a ’Center of Excellence’ funded by the Danish National Research Foundation (DNRF) with a grant of DKK 50 million. In 2013 the DNRF awarded a five-year extension to QGM until 2019, so that the total QGM funding from DNRF amounts to DKK 90 million over the 10 year funding period.

QGM’s research objective is to address fundamental mathematical problems at the interface between geometry and theoretical physics. Directed by Professor Jørgen Ellegaard Andersen, QGM hosts a strong team of high-profile, internationally acclaimed researchers, and with the continuous generation of groundbreaking results, the Centre together with its international collaborators are recognized throughout the mathematics community worldwide as one of the leading research institutions within its research field.

Homepage: qgm.au.dk

Centre for Stochastic Geometry and Advanced Bioimaging (CSGB) is a VKR Centre of Excellence established for the purpose of developing new computer-based methods within stochastic geometry and spatial statistics for the analysis of microscopy and other advanced bioimaging data. The center has received a grant of DKK 25mill from the Villum Foundation.

Four research groups cooperate in CSGB: The Spatial Statistics Group, Institute of Mathematical Sciences, Aalborg University; The Image Group, Department of Computer Science, Copenhagen University; Biomedical Group, Stereology and EM Research Laboratory, Aarhus University; Stochastic Geometry Group, Institute of Mathematical Sciences, Aarhus University.

Homepage: csgb.dk

The T.N. Thiele centre was established in 2004 on the basis of a major grant from the Carlsberg Foundation and is presently supported by the Danish Natural Science Research Council. The objective of the centre is to conduct basic research within mathematical statistics and probability theory. Research is based on a comprehensive international network and a long tradition for collaboration with other research groups at the University of Aarhus, including physicists biologists, geologists, and economists.

Homepage: thiele.au.dk

This centre is hosted by the School of Economics and Management, Faculty of Science and Technology. Researchers of the Institute of Mathematical Sciences specializing in financing participate in time series and financial econometrics research performed in CREATES.

The centre was established in 2007 by the Danish National Research Foundation (Centers of Excellence) with a grant of DKK 40 million.

Homepage: creates.au.dk

The project Semiclassical Quantum Mechanics is funded by a Sapere Aude: DFF-Topresearcher Grant from the Danish Council for Independent Research with Søren Fournais as Principal Investigator. In this project research is carried out in the area of mathematical quantum mechanics, in particular, spectral problems in the presence of magnetic fields. When the magnetic field is very strong and/or when many interacting particles are considered, one can often show that the quantum mechanical systems can be described by simpler - sometimes even classical - models. This can be seen as an aspect of the Correspondence Principle by Niels Bohr.

Homepage: Semiclassical Quantum Mechanics

The Sapere Aude project Intuitions in Science and Philosophy, funded by the Danish Council for Independent Research and led by Samuel Schindler, investigates the role and nature of intuitive judgements in science and philosophy. Whereas intuitive judgements in philosophy have been much debated in recent years, little attention has been paid to intuitive judgments in science. This is where the project steps in. In particular, it investigates intuitive judgements in thought experiments in physics and in the form of acceptability judgements in linguistics. The results of these investigations will be related to debates about the evidential function of intuitive judgements in philosophy.

Homepage: projects.au.dk/intuitions-in-science-and-philosophy/

The project TBFP is funded by a Sapere Aude: DFF Starting Grant awarded by the Danish Council for Independent Research with Andreas Basse-O'Connor as principal investigator. The main aim of the project is to provide new mathematical descriptions of a class of models called *fractional processes*, which can be perceived as random fractals. Such models are often used to describe phenomena that have a very irregular behavior over time, as for example, seen in stock prices. It is of particular interest to characterize how these processes behaved in very small time intervals, which say something about how much uncertainty there are in the future predictions made from these models.

Homepage: TBFP