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Peter Scholze

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4 days ago

International Max Planck Research School – Moduli Spaces and their Applications in Algebra, Differential Geometry, Topology and Mathematical Physics Max Planck Institute for Mathematics in Germany

Degree Level

PhD

Field of study

Mathematics

Funding

No tuition fees are stated; sponsorship is by the Max Planck Society, but a stipend or salary is not specified in the advert.

Deadline

Nov 15, 2026

Country flag

Country

Germany

University

Max Planck Institute for Mathematics in the Sciences

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Keywords

Mathematics
Mathematical Physics
Topology
Algebraic Geometry
Number Theory
Differential Geometry
Representation Theory
Complex Geometry
Global Analysis
Arithmetic Geometry
Physics

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About this position

The International Max Planck Research School on Moduli Spaces is a doctoral programme based at the Max Planck Institute for Mathematics in Bonn and jointly offered with the University of Bonn through BIGS Mathematics. It focuses on moduli spaces and related areas across algebra, differential geometry, topology, and mathematical physics.

PhD researchers in the school join a structured research environment with courses, mini-courses, seminars, and lecture series tailored to the needs of IMPRS fellows. The programme is designed to complement the PhD training at the University of Bonn while connecting students to the research environment of the Max Planck Institute for Mathematics.

Research directions span arithmetic geometry, geometric Langlands theory, topology, representation theory, number theory, modular forms, Teichmüller theory, complex algebraic geometry, global analysis, and mathematical physics. Students may work with MPIM directors, other IMPRS board members, and additional faculty at the institute or the University of Bonn.

The programme offers an international, English-language research setting with support for accommodation and arrival-related matters for new students.

Funding details

No tuition fees are stated; sponsorship is by the Max Planck Society, but a stipend or salary is not specified in the advert.

What's required

Applicants should have an excellent Master's degree or Bachelor's degree in one of the relevant mathematical areas and be able to pursue doctoral research in English. The programme is intended for candidates with strong academic preparation in the research areas covered by the IMPRS and its advisers.

How to apply

Apply through the programme application page. Submit your application by the stated deadline for the summer semester; a winter-semester deadline is also given on the programme website.

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Professors

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Algebraic Geometry

Mathematics

Physics

Complex Geometry

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Mathematical Physics

Complex Geometry

Physics

Representation Theory

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Topology

Differential Geometry

Complex Geometry

Global Analysis

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Mathematical Physics

Mathematics

Physics

Algebraic Geometry

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Mathematics

Topology

Complex Geometry

Physics

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Mathematical Physics

Arithmetic Geometry

Topology

Global Analysis

Professor at Max Planck Institute for Mathematics

University Name
Country flag

Germany

Research Interests

Number Theory

Topology

Arithmetic Geometry

Algebraic Geometry

Global Analysis