Basic Information

Physics and Geosciences


Master of Science (M.Sc.)



Course start

Winter semester (October)

Course duration

4 semesters (fulltime or part time)


120 ECTS

Do you want to unravel the mathematical theory behind the laws of nature and do research at the interface of mathematics and physics? In the two-year English-language master’s programme “Mathematical Physics M.Sc.” at Leipzig University, you will learn about modern topics in theoretical physics and the mathematical theory that underpins them. You have the freedom of choosing your own direction via a large variety of courses offered at both the mathematics and physics departments. You will learn how to describe, analyze and solve complex problems and apply your knowledge in an interdisciplinary setting. You will also learn how to perform independent research, understand specialist literature and write a master thesis under the supervision of world-leading experts.

Highlights of the Mathematical Physics M.Sc. programme.

  • International and taught entirely in English
  • Interdisciplinary
  • Design your master’s programme according to your interests.
  • Develop your analytical skills.
  • Participate in cutting-edge international research as part of a research group at Leipzig University or the Max Planck Institute Mathematics in the Sciences.

Why study in Leipzig?

  • We offer small-group courses with personal attention by dedicated lecturers.
  • Leipzig University has a rich and long tradition in mathematical physics.
  • Leipzig is a vibrant city with a buzzing cultural scene, affordable housing, lots of green space and many lakes.

Structure of the programme


General track structure for the M.Sc. Mathematical Physics Click on the picture for a PDF view

In the 1st semester of the programme (Year 1) you will start with the compulsory modules Mathematical Physics 1 and Mathematical Physics 2, which form the basis of the courses and seminars offered in the rest of the programme. You will learn tools from mathematics and physics that are needed for the later, more advanced and specialized modules.

The structure of the programme allows for a high degree of flexibility and accommodates to individual preferences in the choice of elective modules. In addition to the wide range of modules offered in mathematics and theoretical physics, you can take advantage of an extended range of elective modules from meteorology (data assimilation or numerical weather prediction and climate modelling) to computer science (neuro-inspired information processing, artificial neural networks and machine learning, visualization, graphs and biological networks).

In the 3rd semester (Year 2), you will do the module Research Practice, where you will learn how to do research and presentations. The 4th semester (Year 2) is devoted to your master thesis.


  • 1st semester: 20 ECTS in the compulsory courses Mathematical Physics 1 and 2.
  • 1st and 2nd semester: 10 ECTS in elective

    List modules mathematics

    Semester Module number Module title ECTS
    2nd 10-MAT-MPDG1 Advanced Differential Geometry I 10
    2nd 10-MAT-MPSP1 Stochastic Processes I 10
    1st /3rd 10-MAT-MPAN1 Advanced Analysis I – Partial Differential Equations 10
    1st /2nd /3rd 10-MAT-MPFOP1 Functional Analysis / Operator Theory 10
    and 10 ECTS in elective

    List modules theoretical physics

    Semester Module number Module title ECTS
    1st 12-PHY-MWPT1 Advanced Quantum Mechanics 10
    2nd 12-PHY-MWPT2 Advanced Statistical Physics 10
    1st /3rd 12-PHY-MWPQFG1 General Relativity 10
    1st /2nd /3rd 12-PHY-MWPQFG2 Cosmology 10
    1st /2nd /3rd 12-PHY-MWPTET4 Relativistic Quantum Field Theory 10
  • 1st - 3rd semester: A total of 30 ECTS in elective modules of which at least 20 ECTS in

    List free electives physics and mathematics

    Semester Module number Module title ECTS
    1st 12-PHY-MWPTKM4 Practical Course: Theory of Condensed Matter 5
    2nd /3rd 12-PHY-MWPQFG6 Theoretikum Quantum Field Theory and Gravity 5
    2nd /3rd 12-PHY-MWPQFG3 Quantum Field Theory in Curved Spacetimes 10
    2nd /3rd 12-PHY-MWPSTP1 Quantum Field Theory of Many-Particle Systems 10
    2nd 12-PHY-MWPMDC2 Computer Simulation II 5
    1st /2nd /3rd 12-PHY-MWPTKM3 Theory of Soft and Bio Matter 10
    1st 12-PHY-MWPCQT1 Computational Physics I 10
    3rd 12-PHY-MWPCQT2 Computational Physics II 10
    1st /2nd /3rd 12-PHY-MWPXT1 Group Theory and Its Applications in Physics 10
    2nd 10-MAT-MPDS1 Dynamical Systems 10
    3rd 10-MAT-MPDS2 Advanced Theory of Dynamical Systems 10
    2nd /3rd 10-MAT-MPSTAN Selected Problems in Analysis 10
    2nd /3rd 10-MAT-MPDST Discrete Stochastic Models in Physics 10
    2nd /3rd 10-MAT-MPSTAG Selected Problems in Algebra and Geometry 10
    3rd 10-MAT-MPAN2 Advanced Analysis II 10
    3rd 10-MAT-MPDG2 Advanced Differential Geometry II 10
    3rd 10-MAT-MPFOP2 Advanced Operator Theory 10
    3rd 10-MAT-MPSP2 Stochastic Processes II 10
    and up to 10 ECTS may be in

    List free electives other

    Semester Module number Module title ECTS
    1st /3rd 12-111-1026 A3 – Numerical Weather Prediction and Climate Modelling (M.Sc. Meteorology) 5
    2nd 12-111-1034 T6 – Data Assimilation (M.Sc. Meteorology) 5
    2nd 10-202-2104 Neuro-inspired Information Processing (M.Sc. Computer Science) 10
    1st /3rd 10-202-2128 Artificial Neural Networks and Machine Learning (M.Sc. Computer Science) 5
    1st /3rd 10-202-2201 Visualization (M.Sc. Computer Science) 10
    1st /3rd 10-202-2205 Graphs and Biological Networks (M.Sc. Bioinformatics) 10
  • 3rd semester: 5 ECTS in an elective

    List adavanced seminars

    Semester Module number Module title ECTS
    2nd /3rd 12-PHY-MWPHS4 Quantum Field Theory and Gravitation 5
    2nd /3rd 12-PHY-MWPHS5 Quantum Field Theory 5
    2nd /3rd 12-PHY-MWPHS7 Theory of Condensed Matter 5
    2nd /3rd 12-PHY-MWPHS8 Computational Quantum Field Theory 5
    2nd /3rd 12-PHY-MWPHS9 Quantum Statistical Physics 5
    3rd 10-MAT-MPHSAL New Developments in Algebra 5
    3rd 10-MAT-MPHSAN New Developments in Analysis 5
    3rd 10-MAT-MPHSG New Developments in Geometry 5
    3rd 10-MAT-MPHSS New Developments in Probability Theory 5
    and 5 ECTS in the compulsory Research Practice course.
  • 4rd semester: 23-week Master Thesis

In view of the large variety of courses, you can find below the following example "tracks" to take during your master’s programme (click to open a PDF with the track overview).

  1. Gravitation / Differential Geometry
  2. Dynamical Systems / Stochastics
  3. Stochastics / Condensed matter
  4. Quantum Field Theory / Functional Analysis
  5. Field Theory / Dynamical Systems

You can find detailed descriptions of the modules (in German).


The following prerequisites are required:

  • a B.Sc. (or equivalent) university degree in mathematics, physics or computer science, or

  • a B.Sc. (or equivalent university degree) in a different area, with proof of the following passed in mathematics or theoretical physics:
    1. At least 30 ECTS in mathematics courses, of which at least 20 ECTS in algebra and analysis courses.
    2. At least 20 ECTS in theoretical physics courses, or related courses. For example, quantum mechanics, experimental physics, complex and meteorological systems, dynamical systems, differential equations.

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

In our commitment to diversity, we welcome people of all backgrounds and cultures. For an international faculty like ours, diversity and inclusion are important resources for developing and innovating how we think, teach and perform research. We are proud of the fact that more than 1400 students from 38 countries are currently studying in our German and international courses.

How to apply

First degree obtained in Germany

If you obtained your first university degree in Germany, please apply via AlmaWeb. You should also submit the following documents independently of your AlmaWeb application to the Dean of the Faculty of Physics and Geosciences.

  • An informal letter or email with your application for evaluation of admission requirements.
  • A transcript of records/certificate of a first university degree satisfying the prerequisites above.
  • A short CV in tabular form.
  • Proof of knowledge of the English language at the level B2 of the Common European Framework of Reference (or equivalent)
Please note the application deadlines.

First degree obtained outside Germany

If your first university degree was obtained outside of Germany, please apply directly via uni-assist e.V.. Please also note the application deadlines.


Prof. Dr. Rainer Verch

Academic Adviser Theoretical Physics

Brüderstraße 16
Room 208
04103 Leipzig
Phone: +49 341 97-32423

Prof. Dr. Matthias Schwarz

Academic Adviser Mathematics

Augustusplatz 10
Room P523
04109 Leipzig
Phone: +49 341 97-32117