Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

Applied Mathematics

Doctoral Degree Program


Applied Mathematics


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: 595,00 EUR (9th class, 1st level)
  • after successful completion of the qualification exam: 693,50 EUR (10th 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 2018/2019

  • Hybrid simulation of stochastic gene expression models
    (doc. Mgr. Pavol Bokes, PhD.)
  • Large deviations in Markovian models of biological processes
    (doc. Mgr. Pavol Bokes, PhD.)
  • Modelling convection in ternary alloy solidification
    (doc. RNDr. Peter Guba, PhD.)
  • Stability and long-time behavior of solutions to a generalized Fisher-Kolmogorov-Petrovsky-Piskunov (F-KPP) equation
    (doc. Mgr. Richard Kollár, PhD.)
  • Qualitative and quantitative analysis of nonlinear Hamilton-Jacobi-Bellman equations for optimal allocation problems
    (prof. RNDr. Daniel Ševčovic, DrSc.)

Mathematical Institute Slovak Academy of Sciences:


  • Generalizations of continuity
    supervisor: Assoc. Prof. Ján Borsík, MI SAS, Košice,
    e-mail: borsiksaske.sk
  • EMV-algebras as generalizations of many-valued algebras
    supervisor: Prof. Anatolij Dvurečenskij, MI SAS, Bratislava,
    e-mail: anatolij.dvurecenskijmat.savba.sk
  • Fractional differential equations
    supervisor: Prof. Michal Fečkan, MI SAS, Bratislava,
    e-mail: michal.feckanmat.savba.sk
  • Generalized probability
    supervisor: Assoc. Prof. Roman Frič, MI SAS, Košice,
    e-mail: fricsaske.sk
  • Syllabic vector spaces
    supervisor: Assoc. Prof. Ján Haluška, MI SAS, Košice,
    e-mail: jhaluskasaske.sk
    Requirements: Handling of the program Mathematica
  • Topological structures on the space of set-valued mappings
    supervisor: Assoc. Prof. Ľubica Holá, MI SAS, Bratislava,
    e-mail: lubica.holamat.savba.sk
  • Relative entropies in quantum information theory
    supervisor: Anna Jenčová, PhD., MI SAS, Bratislava,
    e-mail: anna.jencovamat.savba.sk
  • Quantum channels and measurements
    supervisor: Anna Jenčová, PhD., MI SAS, Bratislava,
    e-mail: anna.jencovamat.savba.sk
  • Parallel block algorithms for EVD/SVD of large matrices
    supervisor: Assoc. Prof. Gabriel Okša, DCS, Bratislava,
    e-mail: Gabriel.Oksasavba.sk
  • Invariants on the real line
    supervisor: Assoc. Prof. Miroslav Repický, MI SAS, Košice,
    e-mail: repickysaske.sk
  • Probability theory on intuitionistic fuzzy sets
    supervisor: Prof. Beloslav Riečan, IMCS, Banská Bystrica,
    e-mail: Beloslav.Riecanumb.sk
    Statistical modelling of speech.
    supervisor: Assoc. Prof. Ondrej Šuch, IMCS, Banská Bystrica,
    e-mail: ondrejssavbb.sk
  • Image recognition using convolutional neural networks
    supervisor: Assoc. Prof. Ondrej Šuch, IMCS, Banská Bystrica,
    e-mail: ondrejssavbb.sk
  • Statistical testing some geometrical specifications of measured objects
    supervisor: Prof. Gejza Wimmer, MI SAS, Bratislava,
    e-mail: gejza.wimmermat.savba.sk