Faculty of Mathematics, Physics
and Informatics
Comenius University Bratislava

Applied Mathematics

Doctoral Degree Program


(Applied Mathematics - until 31.8.2019)


full time / external

Usual duration:

full time form 4 years, external form 5 years

Program director:

prof. RNDr. Daniel Ševčovič, CSc.

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

Description of the Study Program

The study program Applied Mathematics reflects society's need for graduates who are not only familiar with basic mathematical disciplines, but who are also able to apply mathematical knowledge in other areas, such as physics, bio-mathematics, theoretical economy and finance. These applied areas often require available mathematical methods to be extended and new models to be developed. At the same time, knowledge of modern software tools for scientific and technical computing is required. The PhD study program Applied mathematics aims to combine high competence in mathematical analysis, statistics and mathematical modelling with acquiring knowledge in interdisciplinary scientific areas.

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: 807,50 EUR (6th class, 1st level)
  • after successful completion of the qualification exam: 940,50 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 2022/2023

  • Modelling convection and solidification in multicomponent alloysdoc
    (supervisor: doc. RNDr. Peter Guba, PhD.)
  • Computation aspects of data envelopment analysis
    (supervisor: doc. RNDr. Margaréta Halická, CSc.)
  • Qualitative and numerical aspects of a motion of a family of interacting curves in space
    (supervisor: prof. RNDr. Daniel Ševčovič, DrSc.) 
  • Mathematical modeling of fertility rates in human populations
    (supervisor: Mgr. Lenka Filová, PhD.)

Mathematical Institute SAS:  

  • Algebraic structures motivated by many valued reasonings
    supervisor: prof. Anatolij Dvurečenskij, MI SAS, Bratislava
    e-mail: anatolij.dvurecenskijmat.savba.sk
  • Singular fractional differential equations
    supervisor: prof. Michal Fečkan, MI SAS, Bratislava
    e-mail: michal.feckanmat.savba.sk
  • Relative entropies in quantum information theory
    supervisor: Anna Jenčová, DrSc., MI SAS, Bratislava
    e-mail: anna.jencovamat.savba.sk
  • Algorithms for structural analysis of snarks
    supervisor: Assoc. Prof. Ján Karabáš, MI SAS, Banská Bystrica
    e-mail: karabassavbb.sk
  • Chromatic and flow problems in graph theory
    supervisor: Martin Kochol, DSc., MI SAS, Bratislava
    e-mail: martin.kocholmat.savba.sk
  • Tutte polynomials and their generalizations
    supervisor: Martin Kochol, DSc., MI SAS, Bratislava
    e-mail: martin.kocholmat.savba.sk
  • Classes of penalty and other functions in the aggregation theory
     supervisor: Assoc. Prof. Martin Papčo, MI SAS, Košice
    e-mail: papcoruzomberok.sk
  • Algebraic properties of aggregation functions
    supervisor: Dr. Jozef Pócs, MI SAS, Košice
    e-mail: pocssaske.sk
  • Derivation of coordinate system of three triangulation sensors
    supervisor: Prof. Gejza Wimmer, MI SAS, Bratislava
    e-mail: gejza.wimmermat.savba.sk
  • Aggregation on lattices
    supervisor: Mgr. Andrea Zemánková, PhD, MI SAS, Bratislava
    e-mail: andrea.zemankovamat.savba.sk 
  • Coding Theory Applications in Cryptography
    supervisor: prof. Ing. Pavol Zajac, PhD.

More information

Institute of Measurement SAS: 

  • Methods and algorithms for exact probability distribution of the selected estimators and test statistics in linear mixed models and their applications
    supervisor: doc. RNDr. Viktor Witkovský, CSc.
  • supervisor: RNDr. Anna Krakovská, CSc. 
  • Probabilistic and statistical methods for the inverse problem in electrocardiography solution
    supervisor: Ing. Jana Švehlíková, PhD.