International Programmes 2026/2027

International Max Planck Research School – Moduli Spaces and their Applications in Algebra, Differential Geometry, Topology and Mathematical Physics Moduli Spaces (IMPRS)

Max Planck Institute for Mathematics • Bonn

Degree
PhD
Course location
Bonn
In cooperation with

Bonn International Graduate School of Mathematics (BIGS Mathematics)

Teaching language
  • English
Languages

Courses are conducted entirely in English. The thesis may be written in either German or English.

Full-time / part-time
  • full-time
Programme duration
6 semesters
Beginning
Winter and summer semester
Application periods
The following is valid for applicants from: all countries
For the summer semester:
until 15 November
The following is valid for applicants from: all countries
For the winter semester:
until 15 April
More information on application periods
Please find more details on this website.
Combined Master's degree / PhD programme
No
Joint degree / double degree programme
No
Description/content

The International Max Planck Research School on Moduli Spaces (IMPRS) is the graduate programme of the Max Planck Institute for Mathematics in Bonn (MPIM) jointly offered with the University of Bonn. It is part of the Bonn International Graduate School in Mathematics (BIGS-Mathematics). The IMPRS is sponsored by the Max Planck Society. The academic training programme of the IMPRS Moduli Spaces consists of courses, mini-courses, seminars and lecture series adapted to the needs of IMPRS fellows, complementing the PhD programme of the University of Bonn. PhD positions are available in the direction of moduli spaces and related fields for candidates with excellent Master's or Bachelor's degrees in the areas of research advised by one of the MPIM directors:

  • Arithmetic Geometry (Scholze)
  • Geometric Langlands Theory (Gaitsgory)
  • Topology (Teichner)
  • Representation Theory (Stroppel)

Further research directions are available with other IMPRS board members and with other faculty at MPIM, such as Number Theory (Blomer, Moree, O. Padurariu), Arithmetic Geometry (Faltings, Lam, Rodríguez Camargo), Modular Forms (Zagier), Teichmueller Theory (Hamenstaedt), Complex Algebraic Geometry (Huybrechts), Global Analysis (Mueller), Topology (Barthel, Ozornova, Schwede) and Mathematical Physics (Klemm, Blohmann). In addition, faculty members at the University of Bonn can also serve as advisers. The PhD should be finished within three to four years. The programme is in English, and the dissertation and dissertation defence can also be in English, if desired. In exceptional cases, continuous supervision or graduating from the student's home university is possible.

International elements
  • International guest lecturers
  • Courses are led with foreign partners
Description of other international elements

We host several hundred foreign scientists a year. Additionally, many international conferences take place at our institute. 

Special promotion / funding of the programme
  • IMPRS
Course-specific, integrated German language courses
No
Course-specific, integrated English language courses
No
Tuition fees per semester
None
Semester contribution

Enrolment fees at the university amount to 345 EUR per semester. This includes a Deutschlandsemesterticket, a nationwide, digital local public transport ticket. It allows students to use all local and regional transport (buses, trams, U-Bahn, S-Bahn, and regional trains) throughout Germany.

Costs of living

Approx. 1,500 EUR per month

Funding opportunities within the university
Yes
Description of the above-mentioned funding opportunities within the university

We offer a fixed-term contract for three years including social benefits based on the German TVöD E13 scale (75% = around 1,900 EUR net per month after taxes, social security contributions and health insurance are paid). A one-year extension is possible.

Academic admission requirements

German "Diploma", Master of Science, Bachelor of Science or equivalent

German language skills
No minimum language level required
English language skills
B2 required, please provide an official language certificate, e.g.:
  • IELTS Academic: 5.5
  • TOEFL iBT (before 2026): 80
  • Reading: 18
  • Listening: 17
  • Speaking: 20
  • Writing: 17
Application periods
The following is valid for applicants from: all countries
For the summer semester:
until 15 November
The following is valid for applicants from: all countries
For the winter semester:
until 15 April
More information on application periods
Please find more details on this website.
Submit application via
Please check this website.
Accommodation

The MPIM arranges accommodation if requested.

Structured research and supervision
Yes
Research training / discussion
Yes
Support for international students and doctoral candidates
  • Welcome event
  • Visa matters
  • Support with registration procedures
General services and support for international students and doctoral candidates

The MPIM provides arrival support (accommodation, registration at city hall, etc.). If necessary, we also assist new students with registration at the university, insurance, etc.

Max Planck Institute for Mathematics

Location

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