In the English-language master’s course of study Mathematical Physics you will learn general principles of mathematical physics and acquire in-depth knowledge of selected topics. You apply the knowledge to describe, analyse and solve complex problems. You transfer concepts to related questions in other or interdisciplinary areas. You will train to read and understand current specialist literature. Under supervision, you will learn to perform independent research and complete your studies with an independent research work, the 23-week master's thesis.

Blackboard with mathematical formulas
Mathematical Physics, Photo: Colourbox

In our commitment to diversity, we welcome people of all backgrounds and cultures. We are particularly proud of the fact that more than 1400 students from 38 countries are currently studying in our German and international courses. For an international faculty like ours, diversity and inclusion are important resources for incorporating multifaceted approaches and ways of thinking into innovative teaching and research. We are therefore committed to cosmopolitan coexistence, where everyone is welcome regardless of origin, gender and religion.

Information on the Course of Study

Find out more about the requirements, contents and application for the course of study here:

Master Mathematical Physics

Additional Information on the Application

You obtained your first university degree in Germany and would like to apply for the master’s course of study in Mathematical Physics? In this case, please submit the following documents independently of your application via AlmaWeb:

  • Application for evaluation of admission requirements (informal letter or email)

  • Transcript of records/certificate of a first degree qualifying for a profession

  • Short curriculum vitae in tabular form

  • Proof of knowledge of the English language at the level B2 of the Common European Framework of Reference (or equivalent)

For the summer semester 2023, please submit these documents to the dean of our faculty by 1 February 2023 by email or in writing.

The master's admissions committee uses these documents to check whether you meet the requirements for the admission to the master's course of study. You will receive a written notification about this, which you should submit to the Studierendensekretariat with the other documents for your enrolment.

For the summer semester 2023, please apply via AlmaWeb by 15 March 2023.

You obtained your first university degree abroad? In this case, please apply for the summer semester 2023 by 31 December 2022 directly via uni-assist e.V..

Structure of the Course of Study

The master’s course of study Mathematical Physics consists of two one-year phases: a first phase in which the physics knowledge is deepened and widened, followed by a research phase.

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 Elective Area 1 (Physics)
or
Free Elective Area 1
2nd Sem.  Free Elective Area 1
or
Elective Area 1 (Physics)
Elective Area 2 (Mathematics) Free Elective Area 1 or 2
3rd Sem. Free Elective Area 1 or 2 Elective Area 3 (Advanced Seminar) Research Practice
4th Sem. Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.

The foundations in the first phase are the two modules on mathematical physics. These build on your basic knowledge of mathematics and theoretical physics. They form the basis for the special modules that you will take later.

In the research phase, you will be guided in a selected specialised field to work on issues relating to current national and international research. In the fourth semester, the focus is on the master's thesis. You can also do this in cooperation with domestic or foreign companies, universities or research institutions.

Elective Areas

For the elective area 1 (physics), you choose a module from the following compulsory elective modules:

Sem. Module No. Module Title CP
1 12-PHY-MWPT1 Advanced Quantum Mechanics 10
2 12-PHY-MWPT2 Advanced Statistical Physics 10
1/3 12-PHY-MWPQFG1 General Relativity 10
1/2/3 12-PHY-MWPQFG2 Cosmology 10
1/2/3 12-PHY-MWPTET4 Relativistic Quantum Field Theory 10

For the elective area 2 (mathematics), you choose a module from the following compulsory elective modules:

Sem. Module No. Module Title CP
2 10-MAT-MPDG1 Advanced Differential Geometry I 10
2 10-MAT-MPSP1 Stochastic Processes I 10
1/3 10-MAT-MPAN1 Advanced Analysis – PDE 10
1/2/3 10-MAT-MPFOP1 Functional Analysis/Operator Theory 10

In the elective area 3 (advanced seminar), the focus is not only on imparting specialist knowledge, but also on developing and improving methodological skills. These are literature research, presentation skills and academic writing. You choose a module from the following compulsory elective modules:

Sem. Module No.

Module Title

CP
2/3 12-PHY-MWPHS4 Quantum Field Theory and Gravity 5
2/3 12-PHY-MWPHS5 Quantum Field Theory 5
2/3 12-PHY-MWPHS7 Condensed Matter Theory 5
2/3 12-PHY-MWPHS8 Computer-oriented Quantum Field Theory 5
2/3 12-PHY-MWPHS9 Quantum Statistical Physics 5
3 10-MAT-MPHSAL New Developments in Algebra 5
3 10-MAT-MPHSAN New Developments in Analysis 5
3 10-MAT-MPHSG New Developments in Geometry 5
3 10-MAT-MPHSS New Developments in Stochastics 5

Free Elective Areas

For the free elective area 1, you choose modules with a total of 20 CP from the following elective modules:

Sem. Module No. Module Title CP
1 12-PHY-MWPTKM4 Practical Course: Condensed Matter Theory 5
2/3 12-PHY-MWPQFG6 Practical Course: Quantum Field Theory and Gravity 5
2/3 12-PHY-MWPQFG3 Quantum Field Theory on Curved Space Times 10
2/3 12-PHY-MWPSTP1 Quantum Field Theory of Many-Particle Systems 10
2 12-PHY-MWPMDC2 Computer Simulations II 5
1/2/3 12-PHY-MWPTKM3 Theory of Soft and Bio Matter 10
1 12-PHY-MWPCQT1 Computational Physics I 10
3 12-PHY-MWPCQT2 Computational Physics II 10
1/2/3 12-PHY-MWPXT1 Group Theory and Its Applications in Physics 10
2 10-MAT-MPDS1 Dynamical Systems 10
3 10-MAT-MPDS2 Advanced Theory of Dynamical Systems 10
2/3 10-MAT-MPSTAN Selected Topics in Analysis 10
2/3 10-MAT-MPDST Discrete Stochastic Models in Physics 10
2/3 10-MAT-MPSTAG Selected Topics in Algebra and Geometry 10
3 10-MAT-MPAN2 Advanced Analysis II 10
3 10-MAT-MPDG2 Advanced Differential Geometry II 10
3 10-MAT-MPFOP2 Advanced Operator Theory 10
3 10-MAT-MPSP2 Stochastic Processes II 10

For the free elective area 2, you choose modules with a total of ten CP. You can choose further modules from the compulsory elective modules. You can also take modules from other courses of study from the Fächerkooperationsvereinbarungen. The Fächerkooperationsvereinbarungen exist for the following modules:

Sem. Module No. Module Title CP
1/3 12-111-1026 A3 – Numerical Weather Prediction and Climate Modelling (MSc Meteorology) 5
2 12-111-1034 T6 – Data Assimilation (MSc Meteorology) 5
2 10-202-2104 Neuro-Inspired Information Processing (MSc Computer Science) 10
1/3 10-202-2128 Artificial Neural Networks and Machine Learning (MSc Computer Science) 5
1/3 10-202-2201 Visualisation (MSc Computer Science) 10
1/3 10-202-2205 Graphs and Biological Nets (MSc Bioinformatics) 10

Model Curricula

Here you will find curricula for taking modules if you want to specialise in a certain topic. These are to be understood as examples. You can also combine other compulsory elective and elective modules. The chosen focus will not be mentioned on your master's certificate.

For the focus on gravitation and differential geometry, we recommend the following modules for the elective and free elective areas:

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 General Relativity
2nd Sem.  Cosmology
or
Quantum Field Theory on Curved Space Times
Advanced Differential Geometry I Dynamical Systems
or Advanced Analysis – PDE
3rd Sem. Advanced Differential Geometry II New Developments in Geometry
or
Quantum Field Theory and Gravity
Research Practice
4th Sem. Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.

For the focus on dynamical systems and stochastics, we recommend the following modules for the elective and free elective areas:

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 General Relativity
or
Selected Topics in Algebra and Geometry
or
Theory of Soft and Bio Matter
2nd Sem. Advanced Statistical Physics Stochastic Processes I Dynamical Systems
3rd Sem. Advanced Differential Geometry II
or
Stochastic Processes II
New Developments in Stochastics Research Practice
4th Sem.

Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.

For the focus on stochastics and condensed matter, we recommend the following modules for the elective and free elective areas:

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 Advanced Quantum Mechanics
or
Theory of Soft and Bio Matter
or
Computational Physics I
2nd Sem. Advanced Statistical Physics Stochastic Processes I Condensed Matter Theory
and
Computer Simulations II
3rd Sem. Computational Physics II
or
Stochastic Processes II
Practical Course: Condensed Matter Theory Research Practice
4th Sem. Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.

For the focus on quantum field theory and functional analysis, we recommend the following modules for the elective and free elective areas:

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 Advanced Quantum Mechanics
2nd Sem. Relativistic Quantum Field Theory
or
Cosmology
Functional Analysis/ Operator Theory Stochastic Processes I
or
Advanced Analysis – PDE
3rd Sem. Quantum Field Theory on Curved Space Times
or
Selected Topics in Algebra and Geometry
or
Quantum Field Theory of Many-Particle Systems
Quantum Field Theory and Gravity
or
Quantum Field Theory
Research Practice
4th Sem. Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.

For the focus on field theory and dynamical systems, we recommend the following modules for the elective and free elective areas:

  Modules
1st Sem. Mathematical Physics 1 Mathematical Physics 2 General Relativity
2nd Sem. Selected Topics in Analysis
or
Cosmology
Advanced Analysis – PDE Dynamical Systems
3rd Sem. Advanced Theory of Dynamical Systems
or
Selected Topics in Analysis
Quantum Field Theory and Gravity Research Practice
4th Sem. Master's Thesis

The information on the module numbers and credit points can be found in the detailed overview.