Mathematics

Aarhus Campus, Aarhus, Denmark

Official Website

Shortlist

# 201-250QS Subject Rankings

48 monthsProgramme duration

80,000 DKKTuition Fee/year

MathematicsMain Subject Area

Shortlist

Programme 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.

Examples of employment after graduation:

The employment of PhDs takes place in a wide range of positions, such as statistical and medical companies, the wind turbine industry, financial institutions, research or teaching.

Programme overview

Main Subject

Mathematics

Degree

PhD

Study Level

PHD

Study Mode

On Campus

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.

Examples of employment after graduation:

The employment of PhDs takes place in a wide range of positions, such as statistical and medical companies, the wind turbine industry, financial institutions, research or teaching.

Admission Requirements

Cambridge CAE Advanced

180+

TOEFL

83+

IELTS

6.5+

Program Duration

4 Years

Starting Month(s)

Sep

Domestic

Starts from

80,000 DKK

International

Starts from

80,000 DKK

Scholarships

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Aarhus Campus, Aarhus, Denmark

# 201-250QS Subject Rankings

48 monthsProgramme duration

80,000 DKKTuition Fee/year

MathematicsMain Subject Area

Programme overview

Main Subject

Degree

Study Level

Study Mode

Programme overview

Main Subject

Degree

Study Level

Study Mode

Admission Requirements

Exam Scores

Important Dates

Tuition Fee

Domestic

International

Scholarships

Scholarships

QS WUR Ranking By Subject

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