Doctoral School of Mathematics (3 years, 180 ECTS)

The study program Doctoral School of Mathematics represents joint doctoral studies in the field of mathematical sciences at the University of Novi Sad, the University of Niš, the University of Kragujevac and State University of Novi Pazar, which are going to be conducted at the Faculty of Sciences in Novi Sad, Faculty of Sciences and Mathematics in Niš, Faculty of Science in Kragujevac and State University of Novi Pazar. Their duration is 3 years (6 semesters), totalling to 180 ECTS, and upon the completion, the title of PhD in Mathematical Sciences is obtained. Candidates who have achieved at least 300 ECTS in basic academic and master academic studies in mathematics or related disciplines are eligible to enrol in doctoral studies. In accordance with the strategic orientation of the educational institutions to enable active development of young researchers, doctoral studies are based on the free choice of elective courses. The courses are grouped in thematic units and the student chooses at least three courses from one such unit. The student chooses or is assigned a teacher advisor after enrolment. The advisor and the student, based on the candidate’s preferences, determine professional and scientific aspects in the implementation of the curriculum. In particular, this means that there is a consistent and goal-oriented choice of elective courses which form the theoretical foundation of the area of ​​the student’s scientific interest. In addition, the student performs independent research work through which they demonstrate and develop the ability of independent research activities. Courses and seminar papers make a legally defined scope of 120 ECTS for the first two years of study. The third year is dedicated to independent research work and the preparation of a doctoral dissertation, which carries the remaining 60 ECTS.

The purpose of the study program Doctoral School of Mathematics is to educate scientific staff to be ready for independent research work in mathematical sciences, as well as for critical evaluation of research in mathematics and related fields. The key element in this regard is to achieve a top level of knowledge and understanding of modern trends in mathematics, as well as to get to know the structure of the scientific research process and skills necessary for successful preparation, publication and presentation of scientific research results, according to standards adopted in mathematical sciences.

The study program includes modern areas of mathematics motivated by the creation and realization of models for the issues that occur in other scientific fields, e.g., in natural sciences, in many areas of information science research, technical-technological, economic research, as well as in medical, agricultural sciences and humanities. In this way, the study program gives an opportunity for young scientists to, in addition to the mathematical sciences domain, acquire knowledge for the practical implementation and inclusion in a global social context, with the aim to use and apply mathematics in order to increase general level of social development.

The goals of the study program Doctoral School of Mathematics are:

• mastering fundamental mathematical disciplines and mastering modern techniques in the fields of Mathematical Analysis and Algebra and Mathematical Logic in order to acquire the necessary tools for formulating and solving mathematical models;
• acquiring knowledge from selected areas of related sciences by choosing courses that deal with content related to the formulation and use of mathematical models
• mentoring and training young staff in teaching at universities and colleges;
• involvement of young researchers in current global trends in scientific research through the study of contemporary literature and papers published in leading world journals;
• acquiring the necessary knowledge necessary for the development of scientific cooperation and communication with the mathematical and wider scientific audience, through the presentation of independent results, as well as the results of other authors.

Students who complete their doctoral studies will be young scientific researchers who possess the modern specialist and scientific knowledge necessary for following global scientific trends in the fields of their interest. They will have at least one paper published or accepted for publication in well-known international journals in the field of mathematics, which is their focus, and thus they will receive a confirmation that they are able to continue successful scientific research independently and in cooperation with other researchers. These young PhD holders will acquire the knowledge necessary for inclusion in the university teaching process in the fields of mathematics in undergraduate and master studies of mathematics, as well as studies in other fields. They will have the necessary knowledge and techniques to be included in specialist and scientific teams in other institutions of direct and indirect production, where their knowledge will contribute to the quality of scientific models with direct application. Successful mastering of this study program provides knowledge and methodological approach in the analysis of various problems thanks to the specifics of mathematical formulations of proof and statements, which are particularly important in mathematics.

Teachers book at the study programme Doctoral School of Mathematics
Competences of mentors at the study programme Doctoral School of Mathematics