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: 675,00 EUR (6th class, 1st level)
  • after successful completion of the qualification exam: 786,50 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 2019/2020

More detailed information about Thesis Topics

  • Qualitative and quantitative analysis of nonlinear Hamilton-Jacobi-Bellman equations for optimal allocation problems (prof. RNDr. Daniel Ševčovič, DrSc.)
    email: sevcovicfmph.unia.sk
  • Computation aspects of data envelopment analysis (doc. RNDr. Margaréta Halická, CSc.)
    email: halicka@fmph.uniba.sk 
  • Mathematical model of a fair pension system (doc. Mgr. Igor Melicherčík, PhD.)
    email: igor.melichercikfmph.uniba.sk 
  • Experimental design for the estimation of a nonlinear function of the statistical model parameters (doc. Mgr. Radoslav Harman, PhD.)
    email: harmanfmph.uniba.sk
  • Multicriterional calibration of financial mathematics models (doc. RNDr. Mgr. Beáta Stehlíková, PhD.)
    email: stehlikovapc2.iam.fmph.uniba.sk 
  • Approximate analytical solutions of partial differential equations arising in financial mathematics (doc. RNDr. Mgr. Beáta Stehlíková, PhD.)
    email: stehlikovapc2.iam.fmph.uniba.sk 
  • Optimization methods with conical structure (doc. RNDr. Mária Trnovská, PhD.)
    email: trnovskafmph.uniba.sk 
  • Modelling convection in ternary alloy solidification (doc. RNDr. Peter Guba, PhD.)
    email: gubafmph.uniba.sk 
  • Fractional calculus in economics (prof. RNDr. Michal Fečkan, DrSc.)
    email: feckanfmph.uniba.sk


Mathematical Institute, Slovak Academy of Sciences:

  • Observables and spectral resolutions on MV-algebras and effect 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
  • Generalizations of the Gaussian complex plain to the third and/or fourth dimensions (theory, applications)
    supervisor: Assoc. Prof. Ján Haluška, MI SAS, Košice,
    e-mail: jhaluskasaske.sk
  • 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
  • Applied cryptanalysis
    supervisor: Assoc. Prof. Karol Nemoga, MI SAS, Bratislava,
    e-mail: karol.nemogamat.savba.sk
  • Algebraic properties of ciphers
    supervisor: Assoc. Prof. Karol Nemoga, MI SAS, Bratislava,
    e-mail: karol.nemogamat.savba.sk
  • Aggregation functions in services
    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
  • Some calibration models
    supervisor: Prof. Gejza Wimmer, MI SAS, Bratislava,
    e-mail: gejza.wimmermat.savba.sk