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The International Max Planck Research School on Moduli Spaces (IMPRS) is the graduate program 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 [2] (BIGS-Mathematics). The IMPRS is sponsored by the Max Planck Society [3].

**Program**

The academic training program of the IMPRS Moduli Spaces consists of courses, mini-courses, seminars and special activities, complementing the Ph.D. program of the University of Bonn.

PhD positions are available in the direction of moduli spaces and related fields for candidates with excellent Master or Bachelor degrees in the areas of research advised by one of the MPIM directors:

- Arithmetic Geometry (
**Faltings**[4]) - Modular Forms (
**Zagier**[5]) - Riemannian Geometry (
**Ballmann**[6]) - Topology (
**Teichner**[7])

Further research directions are available with other IMPRS board members and with other faculty at MPIM, such as Number Theory (Harder [8], Moree [9]), Teichmueller Theory (Hamenstaedt [10]), Complex Algebraic Geometry (Huybrechts [11]), Global Analysis (Mueller [12]), Topology (Schwede [13]), Representation Theory (Stroppel [14]) and Mathematical Physics (Klemm [15], Manin [16], Borot [17], Blohmann [18]).

In addition, faculty members at the University of Bonn can also serve as advisors.

The Ph.D. should be finished within 3-4 years. The program is in English, dissertation and dissertation defense are in English too if desired. In exceptional cases, continuous supervision or graduating from the student's home university is possible.

**Application**

Students from all countries can apply, please follow the Application Instructions [19].

Requirements: German Diploma, Master of Science or equivalent. Depending on academic qualification, admission is for a qualifying year or directly for the Ph.D. work. Proof of proficiency in English (TOEFL [20]-test or equivalent qualification).

**Application Deadline**

- December 15 for the summer term
- May 15 for the winter term.

** Contact address for further communication**

imprs[at]mpim-bonn[dot]mpg[dot]de

**Mail Address**

Max-Planck-Institute for Mathematics

IMPRS-ModuliSpaces

P.O. Box 7280

53072 Bonn

Germany

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/46

[2] http://www.bigs-math.uni-bonn.de/

[3] http://www.mpg.de/english/

[4] http://www.mpim-bonn.mpg.de/102

[5] http://www.mpim-bonn.mpg.de/97

[6] http://www.mpim-bonn.mpg.de/103

[7] http://www.mpim-bonn.mpg.de/98

[8] http://www.mpim-bonn.mpg.de/101

[9] http://www.mpim-bonn.mpg.de/95

[10] http://www.math.uni-bonn.de/people/ursula/

[11] http://www.math.uni-bonn.de/people/huybrech/

[12] http://www.math.uni-bonn.de/people/mueller/

[13] http://www.math.uni-bonn.de/people/schwede/

[14] http://www.math.uni-bonn.de/ag/stroppel/

[15] http://www.th.physik.uni-bonn.de/people/aklemm/

[16] http://www.mpim-bonn.mpg.de/99

[17] http://www.mpim-bonn.mpg.de/5327

[18] http://www.mpim-bonn.mpg.de/2852

[19] http://www.mpim-bonn.mpg.de/node/79

[20] http://www.ets.org/toefl/