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...
Read more

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.

Read less

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...
Read more

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.

Read less

Admission Requirements

IELTS

6.5+

TOEFL

83+

Cambridge CAE Advanced

180+

Program Duration

4 Years

Starting Month(s)

Sep

Tuition Fee

Scholarships

QS subject rankings

2013
#101-150
2015
#151-200
2016
#151-200
2017
#151-200
2018
#151-200
2019
#201-250
2020
#201-250
2021
#201-250
2022
#251-300
2023
#251-300
2024
#251-300
2025
#201-250

Ranking criteria

Academic Reputation

55.6

Citations per Paper

81.8

Employer Reputation

61.7

H-index Citations

73

International Research Network

66.1

View all rankings data

Aarhus Campus, Aarhus, Denmark

# 201-250QS Subject Rankings

48 monthsProgram duration

YesScholarships

MathematicsMain Subject Area

Program overview

Main Subject

Degree

Study Level

Study Mode

Program overview

Main Subject

Degree

Study Level

Study Mode

Admission Requirements

Exam Scores

Important Dates

Tuition Fee

Scholarships

QS WUR Ranking By Subject

QS subject rankings

Subject: Mathematics

Ranking criteria

More programs from the university

Bachelor (7) UG(7)

BSc in Economics and Business Administration (Campus Aarhus)

BSc in Economics and Business Administration (Campus Herning)

Bachelor of Science Economics and Buisness Administration

BSc in Computer Science

BSc in Data Science

BSc in IT Product Development

BSc in Cognitive Science

Master (55) PG(55)

MA in English

MA in Intercultural Studies

MA in Linguistics

MSc in Business Administration

MSc in Business Administration - Business Psychology

MSc in Business Administration – Business Innovation

MSc in Economics

MSc in Economics and Business Administration - Business Intelligence

MSc in Economics and Business Administration - Commercial and Retail Management

MSc in Economics and Business Administration - Digital Business Management

MSc in Economics and Business Administration - Finance

MSc in Economics and Business Administration - Finance and International Business

MSc in Economics and Business Administration - Innovation Management

MSc in Economics and Business Administration - International Business

MSc in Economics and Business Administration - International Business Development

MSc in Economics and Business Administration - International Economic Consulting

MSc in Economics and Business Administration - Management Accounting and Control

MSc in Economics and Business Administration - Marketing Analytics and Strategy

MSc in Economics and Business Administration - Operations and Supply Chain Analytics

MSc in Economics and Business Administration - Strategic Value Chain Management

MSc in Economics and Business Administration - Strategy, Organisation and Leadership

MSc in Engineering - Technology Based Business Development

Master of Science Economics and Business Administration

MSc in Biotechnology and Chemical Engineering

MSc in Civil and Architectural Engineering

MSc in Computer Engineering

MSc in Computer Science

MSc in Data Science

MSc in Electrical Engineering

MSc in IT Product Development

MSc in Mechanical Engineering

MSc in Quantum Technologies and Engineering (QuanTEEM) (Erasmus Mundus)

MSc in Agro-Environmental Management

MSc in Agrobiology

MSc in Bioinformatics

MSc in Biology

MSc in Cognitive Science

MSc in Molecular Biology

MSc in Molecular Nutrition and Food Technology

MSc in Chemistry

MSc in Geoscience

MSc in Mathematics

MSc in Mathematics-Economics

MSc in Medicinal Chemistry

MSc in Nanoscience

MSc in Physics