In the Englishlanguage master’s course of study Mathematical Physics you will learn general principles of mathematical physics and acquire indepth 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 23week master's thesis.
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.
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 uniassist e.V..
Structure of the Course of Study
The master’s course of study Mathematical Physics consists of two oneyear 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  12PHYMWPT1  Advanced Quantum Mechanics  10 
2  12PHYMWPT2  Advanced Statistical Physics  10 
1/3  12PHYMWPQFG1  General Relativity  10 
1/2/3  12PHYMWPQFG2  Cosmology  10 
1/2/3  12PHYMWPTET4  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  10MATMPDG1  Advanced Differential Geometry I  10 
2  10MATMPSP1  Stochastic Processes I  10 
1/3  10MATMPAN1  Advanced Analysis – PDE  10 
1/2/3  10MATMPFOP1  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  12PHYMWPHS4  Quantum Field Theory and Gravity  5 
2/3  12PHYMWPHS5  Quantum Field Theory  5 
2/3  12PHYMWPHS7  Condensed Matter Theory  5 
2/3  12PHYMWPHS8  Computeroriented Quantum Field Theory  5 
2/3  12PHYMWPHS9  Quantum Statistical Physics  5 
3  10MATMPHSAL  New Developments in Algebra  5 
3  10MATMPHSAN  New Developments in Analysis  5 
3  10MATMPHSG  New Developments in Geometry  5 
3  10MATMPHSS  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  12PHYMWPTKM4  Practical Course: Condensed Matter Theory  5 
2/3  12PHYMWPQFG6  Practical Course: Quantum Field Theory and Gravity  5 
2/3  12PHYMWPQFG3  Quantum Field Theory on Curved Space Times  10 
2/3  12PHYMWPSTP1  Quantum Field Theory of ManyParticle Systems  10 
2  12PHYMWPMDC2  Computer Simulations II  5 
1/2/3  12PHYMWPTKM3  Theory of Soft and Bio Matter  10 
1  12PHYMWPCQT1  Computational Physics I  10 
3  12PHYMWPCQT2  Computational Physics II  10 
1/2/3  12PHYMWPXT1  Group Theory and Its Applications in Physics  10 
2  10MATMPDS1  Dynamical Systems  10 
3  10MATMPDS2  Advanced Theory of Dynamical Systems  10 
2/3  10MATMPSTAN  Selected Topics in Analysis  10 
2/3  10MATMPDST  Discrete Stochastic Models in Physics  10 
2/3  10MATMPSTAG  Selected Topics in Algebra and Geometry  10 
3  10MATMPAN2  Advanced Analysis II  10 
3  10MATMPDG2  Advanced Differential Geometry II  10 
3  10MATMPFOP2  Advanced Operator Theory  10 
3  10MATMPSP2  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  121111026  A3 – Numerical Weather Prediction and Climate Modelling (MSc Meteorology)  5 
2  121111034  T6 – Data Assimilation (MSc Meteorology)  5 
2  102022104  NeuroInspired Information Processing (MSc Computer Science)  10 
1/3  102022128  Artificial Neural Networks and Machine Learning (MSc Computer Science)  5 
1/3  102022201  Visualisation (MSc Computer Science)  10 
1/3  102022205  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 ManyParticle 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.