Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Applied Mathematics

Doctoral Degree Program




full time / external

Usual duration:

full time form 4 years, external form 5 years

Language of courses:


Program director:

prof. RNDr. Daniel Ševčovič, CSc.


doc. RNDr. Margaréta Halická, CSc.
doc. Mgr. Radoslav Harman, PhD.
doc. RNDr. Mária Trnovská, PhD.
doc. RNDr. Peter Guba, PhD.

Related study programs: master's degree programs MathematicsMathematics of Economy, Finance and ModelingProbability and Mathematical Statistics

Description of the Study Program

A graduate of the doctoral program in applied mathematics has the capacity of applying scientific methods and research procedures associated with the applications of mathematics in the natural sciences (physics, biomathematics), in the theoretical-economic and financial sciences and other areas of applied mathematical research. In addition to knowledge of modern and traditional mathematical procedures, the graduate has an overview of other scientific disciplines (e.g. modeling in physics, biomathematics, theoretical economics, mathematical finance, operational research, probability and mathematical statistics). The graduate has the ability to design and analyze mathematical models in a selected research discipline. The graduate masters at an advanced level computer work, programming and work with modern mathematical, statistical and financial software. The content focus of the dissertations is mainly focused on advanced theoretical analysis and applications of mathematical-statistical methods in the field of mathematical modeling.

What to Expect

The study program and its study plan take into account the mission but also the goals set by FMFI UK in the field of science and research and especially in the field of education (in the Long-term plan of FMFI UK). The study program was created and further innovated in the intentions of the development trends of similarly focused programs in Europe and in the world. At the same time, the program was created in accordance with the needs of practice, so one of the main aspects in designing the subjects was the aspect of the applicability of knowledge and competencies in real practice.

A graduate has a systematic, and comprehensive set of knowledge in a specialized field, including knowledge and understanding of relationships to other parts of the field and related fields has a deep knowledge of theories, sophisticated methods and procedures of science and research at a level consistent with international criteria.

The study plan is prepared so that students can complete academic mobility abroad during their studies, as the faculty has concluded contracts and international research projects with several partner universities that have related study programs.

A recommended study plan is set for the study program, which is compiled so that by completing it, the student meets the conditions for successful completion of the study within its standard length. The study plan is divided into compulsory and optional subjects. The plan is supplemented by scientific research and pedagogical activities of doctoral students. The subject consists of individual independent educational activities or their combination, which are aimed at providing education in a specific area, which is specified in the information sheet of the relevant subject. The profile subjects of the study plan belong to the compulsory or optional subjects and are determined so that the student acquires the knowledge and skills that are essential for the determined profile of the graduate. Together with other educational activities that are offered to the student in other subjects, they will enable the student's access to knowledge and skills important for achieving educational outcomes in the graduate's profile and his personal and professional development. Characteristics of study program units. The focus of the study part is the individual study of literature determined by the supervisor. Part of the study is also the successful completion of lectures in selected subjects. The content of the scientific part is the elaboration of the dissertation. The thesis should prove the doctoral student's readiness to work scientifically by bringing either an original mathematical result or an original application of mathematical theory in a selected scientific discipline such as physics, biomathematics, theoretical economics and finance. The result of the work should be publishable in a peer-reviewed scientific journal in the field of mathematics or the subject area of ​​its application. Another part of the study is active participation in regular scientific seminars, the selection of which for the doctoral student will be determined by the supervisor. At the same time, the evaluation of the doctoral student may include his/her participation in domestic and international conferences and summer/winter schools, presentation of a paper at the conference and publication of an article in a peer-reviewed journal.

Final Thesis

Examples of successful final theses of our students:

all PhD theses are available online at: http://www.iam.fmph.uniba.sk/studium/efm/phd/

Graduates' Career Opportunities

The main goal of the doctoral program is to prepare for independent scientific work. Therefore, graduates are employed at the departments of mathematics at home and abroad. They will find employment in research institutes of the Slovak Academy of Sciences and abroad. Furthermore, the graduates successfully apply in specialized analytical teams at the Government of the Slovak Republic, the Institute of Financial Policy, the Value for Money Department and others. They work and lead top analytical teams in domestic and international banking institutions. Mastering scientific research techniques and actively participating in research already during their studies allow our graduates to apply in the leading positions of financial institutions, technology companies and consortia.

Doctoral Scholarships

Full-time doctoral students who have permanent residency in the European Union are entitled to receive a scholarship for the entire standard duration of their studies. The scholarships are paid starting on the date of enrollment. The scholarship is determined in accordance with the tables included in the Law no. 553/2003 Z.z. as follows: 

  • prior to completion of the qualification exam: 1025,50 EUR (6th class, 1st level)
  • after successful completion of the qualification exam: 1 194 EUR (7th class, 1st level)

Scholarships are not subject to taxes or other fees.

Doctoral studies are considered an equivalent to full time employment and in the majority of cases cannot be combined with another employment. Job holding applicants who intend to keep their job are advised to apply for the external (distance) form of doctoral studies. Doctoral students enrolled in the regular form are expected to participate in teaching activities such as conducting recitations or exam grading, in accordance with the needs of their corresponding departments.

Thesis Topics for Academic Year 2024/2025

  • Applied random processes
    (školiteľ: doc. Mgr. Pavol Bokes, PhD.)

Mathematical Institute Slovak Academy of Sciences


  • Integrative analysis of genomic data in cancer research
    (supervisor: doc. Mgr. Bronislava Brejová, PhD.)
  • Descriptional Complexity of Languages and Operations
    (supervisor: Ing. Michal Hospodár, PhD.)
  • Coding Theory Applications in Cryptography
    (supervisor: prof. Ing. Pavol Zajac, PhD.)