The goals of the PhD in Mathematics program are to provide advanced training in mathematical theory, research methodology, and analytical reasoning, and to prepare graduates for careers in academia, industry, government, or other research-oriented fields. As the program is designed to continue studies from masters degree, students undertake courses such as Research Methods and Academic Writing in addition to specialized courses in their chosen research areas. They receive training in research methods such as problem formulation, literature review, experimental design, data analysis, and presentation of results. 

The program aims to foster independent and creative thinking, as well as effective communication skills, through opportunities such as presenting at conferences, publishing in academic journals, and collaborating with faculty and peers on research projects. 

Graduates of the program are expected to have the skills and knowledge necessary to make significant contributions to the field of mathematics through original research. They may pursue careers as university professors, researchers in industry or government, or as consultants in various fields that require advanced mathematical expertise. PhD in Mathematics program is designed to produce highly skilled and knowledgeable mathematicians who can tackle complex problems and make important contributions to the advancement of the field.

• Ordinary Differential Equations (5 ECTS);
• Mathematical Statistics & Theory of Probability 1 (5 ECTS);
• Algebraic Structures (5 ECTS);
• Functional Analysis (5 ECTS).

• Linear Algebra
• Algebra
• Mathematical Analysis
• Real Analysis
• Functional Analysis
• Complex Analysis
• Analytical Geometry
• Ordinary Differential Equations
• Partial  Differential Equations
• Probability Theory

• Produce, communicate and defend an original contribution to knowledge, as evidenced by the writing and defense of a thesis involving significant original research.
• Communicate mathematical ideas, results, context, and background effectively and professionally in written and oral form achieved by doing homework, exams based on problem-solving, writing scientific papers, doing presentations and giving talks at scientific seminars, conferences.
• Demonstrate advanced knowledge and understanding of their area of specialization and reproduce proofs of classical results in the field by learning theoretical courses.
• Create, implement, and disseminate knowledge in mathematics by producing high quality and original research.
• Demonstrate abilities in the critical analysis and quantitative reasoning of global problems arising in Mathematics by the writing and defense of a thesis.
• Plan and conduct lessons in advanced mathematics, create an effective learning environment for university students, and give appropriate assessment and feedback by passing a pedagogical practice.

A PhD in mathematics can lead to diverse career opportunities. Graduates can pursue academic research and teaching roles, work in industries like finance, technology, and data science, or become consultants. They can also find employment in government agencies and research institutes. Mathematicians are sought after for their problem-solving skills, analytical thinking, and expertise in areas such as data analysis, modeling, and algorithm development.