Mathematical Sciences, PhD

  • Application Deadline
  • 36 months
  • Tuition
    Tuition (Year)
    Tuition (Year)
  • English (take IELTS)
  • Overview
  • Programme outline
  • Key facts
  • Admission requirements
  • Fees and funding


Students are integrated into the international and inspiring environment of the department. The spectrum of possible Ph.D research topics ranges from pure over applied mathematics to mathematical statistics. Ph.D projects may also be interdisciplinary, with close connections to other disciplines, such as mathematical physics or biophysics.

Detailed Programme Facts

  • Full-time duration 36 months
  • Study intensity Full-time
  • Languages
    • English
  • Delivery mode
    On Campus
  • Project Type Open
  • Educational Form Academic

Programme Structure

Research Priorities

Research priorities of the SMS are in mathematics and statistics including four main research areas:

SP1: Analysis and Geometry

Research topics are in gauge theory, differential geometry, topology, geometric and global analysis with relations to mathematical physics.

SP2: Algebraic Geometry and Number Theory

Research topics are in algebraic, arithmetic and diophantine geometry, as well as in analytic, algebraic and experimental number theory with applications in cryptography and computer science.

SP3: Numerical and Applied Mathematics

Research fields are inverse problems, partial differential equations, approximation, and discrete optimization. A strong focus lies on industry cooperations.

SP4: Mathematical Stochastics

SP4 focusses its research on dynamics and applied statistics with applications in financial mathematics, econometrics, biometry, and life sciences. Interdisciplinary work is particularly ensured by the Center for Statistics.

A link between SP1 and SP2 is given by the RTG 1493. A link between SP3 and SP4 is given by the RTG 1023.

  • Admission requirements: Master in mathematics; application with a master's degree in natural sciences is possible; confirmation of a faculty member to act as an advisor is required
  • Language requirements: Proficiency in written and spoken English is required

Tuition Fee Per Year

  • Free International
  • Free EU/EEA


Usually, the research group or department provides funding to their doctoral students in the form of either an employment contract or a scholarship (approx. monthly amount of scholarship or net salary: 1100-1400 EUR).

StudyPortals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.

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