PhD in Mathematical Sciences
The Faculty of Mathematics at the Georg-August University of Göttingen started its Program “PhD School of Mathematical Sciences” (SMS) in the summer term 2005. The SMS offers an international program leading to the PhD degree within three years. The SMS is part of the Georg-August University School of Science (GAUSS).
Participating institutions of the SMS are two Graduiertenkollegs, “Mathematical Structures in Modern Quantum Physics” and “Identification in Mathematical Models: Synergy of Stochastic and Numerical Methods” and the interdisciplinary Centre for Statistics, which among other things may offer students financial support during their studies.
The SMS is open to students from Germany and from abroad who hold a Master's degree (or equivalent) in mathematics or statistics. Students holding a Bachelor's degree and having excellent results after the first year of a Master's Program may qualify as well for direct admission to a three-year doctoral project in one of the participating research groups. After successful defense of a doctoral thesis the title Doctor rerum naturalium (Dr. rer. nat.) or the equivalent degree Doctor of Philosophy (Ph.D., Division of Mathematics and Natural Sciences) is conferred. In order to allow students to complete their dissertation within about three years, we expect candidates to choose a main advisor and the area in which they plan to write their thesis before admission.
The PhD teaching program includes lectures and seminars. Most of the program is taught in English; international scholars regularly teach a part of the courses. The program provides training in oral and written communication skills, including mathematical writing and publishing. In addition, the PhD students have the opportunity to teach as teaching assistents in the Bachelor program of the Mathematical Faculty.
In addition, the SMS garantuees:
- intensive training program throughout the first year
- small-group instruction (Thesis Committee)
- work opportunities on international research projects in pure and applied mathematics including statistics
- comprehensive student services and guidance, in particular for students from abroad. There will be a special service to help them getting habituated to Göttingen, including a German course, excursions, help with paperwork like getting residence permits, assistance in finding housing, social events.
The SMS offers different academic programs according to its research priorities. The academic programs are divided into three periods: an introductory period for the first year, an intermediate period for the second year, and a specialized period for the third year. In each period the graduate students must enroll in at least eight hours of lectures, tutorials, seminars, etc.
Through the introductory period, the PhD students will participate in the canonical teaching within the faculty of mathematics.
For the intermediate period, each academic program offers special courses within the field of the student's dissertation.
Under the guidance of their thesis advisors, in the specialized period the PhD students will attend special courses and seminars connected with the topic of their thesis.
The program will be complemented by seminars and courses by visiting researchers. Special seminars will be established for the PhD students to report on their research projects. In addition, each year work shops will be organized to summarize the annual research progress. Special communication and presentation training will be provided.
Credits according to the European Credit Transfer System (ECTS)
SMS equires all doctoral students of the graduate school to obtain a minimum of 21 credits (ECTS) during their doctoral studies from the following categories:
- Scientific colloquia and seminars (3 ECTS)
- Research conferences (3 ECTS)
- Professional skills training (3 ECTS)
- Study courses (12 ETCS)
Talks, Compact Courses and Recommended Lectures (RTG 1023)
- Intensive Courses
- Recommended Lectures
Courses (Applied Statistics & Empirical Methods)
- Regular and compact courses
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.
Last updated May 23, 2016