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 2021/2022

More detailed information about Thesis Topics

  • Modelling convection and solidification in multicomponent alloys
    (školiteľ doc. RNDr. Peter Guba, PhD.) 
  • Applications of optimal experimental design in machine learning
    (školiteľ doc. Mgr. Radoslav Harman, PhD.)
  • Analysis of financial markets using stochastic modelling
    (školiteľka doc. RNDr. Mgr. Beáta Stehlíková, PhD.)
  • Short rate models allowing negative interest rates
    (školiteľka doc. RNDr. Mgr. Beáta Stehlíková, PhD.)
  • Discrete time random dynamical systems
    (školiteľka doc. RNDr. Katarína Janková, CSc.)

Institute of Measurement Science of the Slovak Academy of Sciences:

More detailed information about Thesis Topics - IMS SAS

  • Probabilistic and statistical methods for the inverse problem in electrocardiography solution
    (supervisor:  Ing. Jana Švehlíková, PhD., e-mail: Jana.Svehlikova@savba.sk)
  • Causal analysis of complex time series
    (supervisor: RNDr. Anna Krakovská, CSc., e-mail: anna.krakovskasavba.sk)
  • Multivariate causal analysis
    (supervisor: doc. RNDr. Viktor Witkovský, CSc., e-mail: witkovskysavba.sk)
  • 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., e-mail: witkovskysavba.sk)

Mathematical Institute of the Slovak Academy of Sciences:  

  • Algebraic structures motivated by many valued reasonings
    (supervisor: prof. RNDr. Anatolij Dvurečenskij, DrSc., MÚ SAV, Bratislava, e-mail: anatolij.dvurecenskijmat.savba.sk)
  • Singular fractional differential equations
    (supervisor: prof. RNDr. Michal Fečkan, DrSc., MÚ SAV, Bratislava, e-mail: michal.feckanmat.savba.sk)
  • Relative entropies in quantum information theory
    (supervisor:  Mgr. Anna Jenčová, DrSc., MÚ SAV, Bratislava, e-mail: anna.jencovamat.savba.sk)
  • Descriptional and computational complexity of formal languages
    (supervisor:  RNDr. Galina Jirásková, CSc., MÚ SAV, Košice, e-mail: jiraskovsaske.sk)
  • Algorithms for structural analysis of snarks
    (supervisor:  doc. Mgr. Ján Karabáš, PhD., MÚ SAV, Banská Bystrica, e-mail: karabassavbb.sk)
  • Recurrent families of discrete probability distributions in collective risk models
    (supervisor:  doc. Mgr. Ján Mačutek, PhD., MÚ SAV, Bratislava,  e-mail: jmacutekyahoo.com, konzultant: Mgr. Gábor Szűcs, PhD., FMFI UK)
  • Classes of penalty and other functions in the aggregation theory
    (šsupervisor:  doc. PaedDr. Martin Papčo, PhD., MÚ SAV, Košice, e-mail: papcoruzomberok.sk)
  • Algebraic properties of aggregation functions
    (supervisor:  RNDr. Jozef Pócs, PhD., MÚ SAV, Košice, e-mail: pocssaske.sk)
  • Derivation of coordinate system of three triangulation sensors
    (supervisor: prof. RNDr. Gejza Wimmer, DrSc., MÚ SAV, Bratislava,  e-mail: gejza.wimmermat.savba.sk)
  • Aggregation on lattices
    (supervisor:  Mgr. Andrea Zemánková, PhD., DrSc., MÚ SAV, Bratislava, e-mail: andrea.zemankovamat.savba.sk)