PhD

Mathematics

Study mode:On campus Study type:Full-time Languages: English German
Local:$ 39 / Year(s) Foreign:$ 1.61 k / Year(s) Deadline: Feb 5, 2025
351–400 place StudyQA ranking:1948 Duration:3 years

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The main goal of the Doctor of Philosophy Programme Mathematics is to make an independent contribution to research through submission of an original piece of scientific work on the highest international level in one of the fields of competence offered at the Faculty of Mathematics, Computer Science and Physics. This work is to widen the boundaries of knowledge in the relevant special field and thus to contribute to the progress in the dissertation subject.

This goal is to be achieved by completion of the compulsory modules in the curriculum, where particularly the module „Scientific Basics/Core Skills of the Thesis Topic“ offers the requirements to research-oriented subject matter. The modules „Analysis of Own and External Research Results“ and „Core Subject“ convey the current state of research. An addition to these skills (e.g. project management, professional presentation of scientific contents) guarantees the module „Generic Skills”. Graduates of the Doctor of Philosophy programme have a systematic understanding of their research discipline and research methods of this field.

The programme concludes with a dissertation which is to be supervised by a team of supervisors and is completed by an oral exam taken before an examination board. Graduates are awarded the academic degree „Doctor of Philosophy (PhD)“. 

Compulsory Modules

  • Doctoral Thesis Defense
  • Scientific Basics/Core Skills of the Thesis Topic 
  • Participation in Scientific Discourse 
  • Interdisciplinary Seminar in the PhD Programme 
  • Generic Skills 

Dissertation

The dissertation is a piece of scientific work which – in contrast to a diploma or master’s thesis – serves to prove the student's ability to cope with scientific questions in an independent way. The dissertation topic has to be chosen from the field of mathematics or didactics of mathematics.

The dissertation may also consist of articles that are related in terms of subject matter or methods. In this case, a minimum of three articles must have been accepted for publication by an acknowledged scientific journal or must have been accepted for presentation by acknowledged scientific conferences. Additionally, the student has to write an extensive summary of the subject area, the methods employed, and the results he/she has obtained; in doing so, the student must refer to the articles included in the dissertation. Moreover, a preview has to be given of the future scientific and methodical development of the topic elaborated. If the articles were written by several authors, the student's own contribution must be clearly shown and a corresponding list has to be added to the dissertation in the form of an appendix.

The student has to propose a team of supervisors, consisting of at least two people (dissertation committee) and to nominate one of them as the supervisor mainly responsible. It is permissible to propose supervisors (with the exception of the main supervisor) from related fields. If the dissertation belongs to didactics of mathematics, the dissertation committee must include representatives of both the didactics of mathematics and mathematics. In justifiable exceptional cases it is possible for students to propose only one supervisor.

Prior to beginning the work, the student has to communicate the dissertation topic and the names of the supervisors in writing to the Director of Studies. If work on the dissertation requires monetary or non-monetary resources from university institutions, the allocation of these resources is possible only if the head of the institution has been informed of the planned allocation and has not vetoed it within one month for reasons of significant negative influences on teaching and research. Topic and supervisors are considered as accepted, if the Director of Studies does not veto them by means of a decree within one month after the receipt of the proposal.

Requirements

  • Completed a master's degree in a relevant related field.
  • Proof of German language ability (level B2)
  • Curriculum vitae,
  • As well as (originals or officially certified copies):
  • Notice (“Bescheid”) confirming awarding of bachelor’s degree,
  • Diploma certificate,
  • Diploma Supplement
  • transcript (list of examinations completed).
  • Examination Records
  • Recognition of exams
  • Declaration of Academic Honesty 
  • Submission of the Dissertation
  • Application for the Dissertation's Defense

Scholarships

  • Erasmus+
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