Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

At the Department of Mathematics there are several directions of research; either in pure mathematics, stochastics or science studies. These encompass theoretical aspects as well as investigations of interest in other fields of science, such as for example physics, coding theory, computer science, and mathematical finance. There are collaborations with other sciences and practical work in connection with medical and engineering problems, such as wind power.

Pure Mathematics

The main research areas in Pure Mathematics are:

Algebra and Discrete Mathematics: Algebraic geometry and commutative algebra, algebraic groups and quantum groups, computer algebra, coding theory and cryptography, representation theory for Lie algebras, computational algebraic geometry.
Analysis: Mathematical physics, spectral theory, spectral geometry, representation theory, analytic number theory, harmonic analysis, Lie groups, K-theory, C*-algebras, scattering theory, mathematical physics of fields and particles, magnetic fields and superconductivity.
Geometry and Topology: Algebraic K-theory, homotopy theory, differential geometry, Kaehler geometry, gauge theory, quantum field theory, geometric quantization of symplectic varieties, quantization of moduli spaces, topology of smooth mapping germs, singularity theory.

Stochastics

At the Department of Mathematics, there are also several directions of research in stochastics; the most important ones are:

Statistics: Likelihood theory, statistical models, spatial statistics, stereology, asymptotic methods, geometry and statistics, inference for stochastic processes, time series analysis, simulation. Some important applications of statistics, particularly within biology, geology and economics are also studied: spatial biological structures, medical image processing, evolutionary development of DNA, turbulence and sand transport, insurance mathematics, financial markets and volatility.
Probability Theory: Stochastic analysis, infinite dimensional probability theory, stationary processes, multiparameter processes, Levy theory, martingale theory, free probability and the connection to operator algebras.
Economics and Operational Research: Optimization, production and financial theory. Stochastic programming, multicriteria optimization, combinatoric and discrete optimization and the application of Markov decision processes on inventory control and pricing.

Science Studies:

At the Centre for Science Studies the main research areas are:

History of science and technology: Science and technology in Cold War Settings, scientific expeditions, natural resources and resource security, science diplomacy, popular science, science and the media, wind energy, science for children.
Philosophy of science: Realism/anti-realism, virtues in science, Thomas S. Kuhn’s philosophy of science, experimental philosophy of science, scientific collaboration, retractions.
Science communication: Science news, scientific controversies in public debate, online science communication, strategic science communication, science PR.
Ethics and science: Bioethics, data ethics, research integrity, responsible research and innovation.

Program overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

At the Department of Mathematics there are several directions of research; either in pure mathematics, stochastics or science studies. These encompass theoretical aspects as well as investigations of interest in other fields of science, such as for example physics, coding theory, computer science, and mathematical finance. There are collaborations with other sciences and practical work in connection with medical and engineering problems, such as wind power.

Pure Mathematics

The main research areas in Pure Mathematics are:

Algebra and Discrete Mathematics: Algebraic geometry and commutative algebra, algebraic groups and quantum groups, computer algebra, coding theory and cryptography, representation theory for Lie algebras, computational algebraic geometry.
Analysis: Mathematical physics, spectral theory, spectral geometry, representation theory, analytic number theory, harmonic analysis, Lie groups, K-theory, C*-algebras, scattering theory, mathematical physics of fields and particles, magnetic fields and superconductivity.
Geometry and Topology: Algebraic K-theory, homotopy theory, differential geometry, Kaehler geometry, gauge theory, quantum field theory, geometric quantization of symplectic varieties, quantization of moduli spaces, topology of smooth mapping germs, singularity theory.

Stochastics

At the Department of Mathematics, there are also several directions of research in stochastics; the most important ones are:

Statistics: Likelihood theory, statistical models, spatial statistics, stereology, asymptotic methods, geometry and statistics, inference for stochastic processes, time series analysis, simulation. Some important applications of statistics, particularly within biology, geology and economics are also studied: spatial biological structures, medical image processing, evolutionary development of DNA, turbulence and sand transport, insurance mathematics, financial markets and volatility.
Probability Theory: Stochastic analysis, infinite dimensional probability theory, stationary processes, multiparameter processes, Levy theory, martingale theory, free probability and the connection to operator algebras.
Economics and Operational Research: Optimization, production and financial theory. Stochastic programming, multicriteria optimization, combinatoric and discrete optimization and the application of Markov decision processes on inventory control and pricing.

Science Studies:

At the Centre for Science Studies the main research areas are:

History of science and technology: Science and technology in Cold War Settings, scientific expeditions, natural resources and resource security, science diplomacy, popular science, science and the media, wind energy, science for children.
Philosophy of science: Realism/anti-realism, virtues in science, Thomas S. Kuhn’s philosophy of science, experimental philosophy of science, scientific collaboration, retractions.
Science communication: Science news, scientific controversies in public debate, online science communication, strategic science communication, science PR.
Ethics and science: Bioethics, data ethics, research integrity, responsible research and innovation.

IELTS

6.5+

TOEFL

83+

Cambridge CAE Advanced

180+

Program Duration

4 Years

Starting Month(s)

Sep

Tuition fee and scholarships

Scholarships

One of the important factors when considering a master's degree is the cost of study. Luckily, there are many options available to help students fund their master's programme. Download your copy of the Scholarship Guide to find out which scholarships from around the world could be available to you, and how to apply for them.

In this guide you will find:

Where to look for scholarship opportunities

How to apply to scholarships relevant to you

A list of available scholarships around the world

A scholarship application checklist

Download Scholarship Guide

More programs from the university

Aarhus University provides the following English-language Bachelor’s degree programs (please find direct links under Programs):

Cognitive Science
Economics and Business Administration

Tuition is free for EU, EEA and Swiss citizens. For other students, tuition fees are set annually and can be found on the Aarhus University website.

Over ten percent of Aarhus’ student body is international, representing 100 different nationalities. For these international students, the International Centre offers an orientation programme as well as support and guidance during their time at the university.

Business and Management (3)

BSc in Economics and Business Administration (Campus Aarhus)

BSc in Economics and Business Administration (Campus Herning)

Bachelor of Science Economics and Buisness Administration

Engineering and Technology (3)

BSc in Computer Science

BSc in Data Science

BSc in IT Product Development

Life Sciences and Medicine (3)

BSc in Cognitive Science

Aarhus University provides English-language postgraduate programmess in the following subject areas (please find a list of all English-taught postgraduate degree programmes under Programs):

Media, Communication and Information
Social Sciences, Politics and Economics
Finance, Business and Management
Global Management and Manufacturing
Biology, Chemistry and Nature
Physics, Mathematics and Nanotechnology
Language, Culture and History
Education, Psychology and Teaching
IT, Electronics and Programming
Technical Science, Construction and Development

All PhD programs are taught in English.

Aarhus University was ranked 107th in the QS World University Rankings 2015/16. In the 2015 edition of the QS World University Rankings by Subject, Aarhus University was ranked 23rd for dentistry and 60th for life sciences and medicine. Aarhus University’s School of Business and Social Sciences (BSS) is accredited by AACSB, AMBA and EQUIS, making it a triple crown accredited business school.

All of the professors at Aarhus University are active researchers. As a result, all of the university’s programs are reviewed on a regular basis in order to ensure that they meet the highest national and world standards.

Over half of Aarhus University’s 40,000 students study at the Master’s or PhD level. Over ten percent of the student body is international, representing 100 different nationalities. Aarhus’ international students have access to an International Centre which offers an orientation programme as well as support and guidance during their time at the university. Danes were recently ranked as the best non-native English speakers in the world, so it is easy for international students to get along in Denmark even if they don’t speak Danish.

Tuition is free for EU, EEA and Swiss citizens. For other students, tuition fees are set annually and can be on the Aarhus University website.

All international Masters students and graduates are given access to career counselling services and a free job bank. The green card residence permit which allows students to complete a higher education programme in Denmark allows students to stay in Denmark for six months after graduation so they have time to look for work.