Mathematics

Mathematics

Duration of the program: 4 years (8 semesters)

Program description:

The program is aimed at ambitious students who hold a master’s degree in mathematics. The doctoral students will have the opportunity to deepen their knowledge and skills in various fields of mathematics. The program consists of advanced theoretical and practical courses that develop research and analytical skills. The students will have the opportunity to work with experienced and recognized scientists in their fields, allowing them to develop their own research projects. In addition to courses, participation in scientific seminars, conferences, etc., is expected. The program also includes the development of skills in writing scientific articles and presenting research results. As part of the program, lectures by visiting professors in mathematics fields of interest to the doctoral students are planned.

The key topics covered in the study program include: differential geometry, group theory and Lie algebras, symplectic geometry and topology, mathematical physics, nonlinear integrable systems, fuzzy set theory, algebraic topology, commutative and homological algebra, category theory, ergodic theory and topological dynamical systems.

Career opportunities:

Graduates possess knowledge and skills in the field of mathematics and higher education didactics. Graduates will be well-prepared to pursue an academic career and continue their scientific research in domestic and international academic institutions. They will also be prepared to take up professional positions in various sectors of the economy.

Key words:

  • mathematics
  • integrable systems
  • integrable discrete geometry
  • combinatorial Hopfs algebras
  • ergodic theory
  • topological dynamics
  • group theory

Candidates for PhD Supervisors

ORCID Number:
https://orcid.org/0000-0002-8577-2282

Department/Chair/Institute:
Institute of Mathematics

Faculty:
Faculty of Mathematics and Computer Science

University:
University of Warmia and Mazury in Olsztyn

Phone:
+48 89 524 60 55

E-mail:
mabo@matman.uwm.edu.pl

ResearchGate Profile:
Maciej Bochenski

Scientific Discipline:
Mathematics
(In the case of a doctoral dissertation conducted in two academic disciplines, it is permissible to indicate one discipline not represented in the doctoral school.)

Scientific Output Indicators:

  • Number of scientific publications (WoS/Scopus): 22

  • Number of citations (WoS/Scopus) excluding self-citations: 21

  • H-index (WoS/Scopus): 4

  • Number of citations (Google Scholar): –

  • H-index (Google Scholar): –

  • Number of PhD graduates supervised: 0

  • Number of current PhD candidates under supervision: 0

Willingness to Supervise PhD Students:

Polish candidates: Yes (1)
International candidates: Yes (1)

Scientific Interests or Research Topics Offered to Candidates:

  • Differential geometry

  • Lie groups and Lie algebras

Funding or Special Equipment Required for the Implementation of the PhD Project:

Are there funds to cover research costs?
Yes

Is infrastructure and appropriate resources available in the Laboratory/Department to carry out the planned research tasks?
Yes

ORCID Number:
https://orcid.org/0000-0002-0454-9610

Department/Chair/Institute:
Institute of Mathematics

Faculty:
Faculty of Mathematics and Computer Science

University:
University of Warmia and Mazury in Olsztyn

Phone:
+48 507 556 400

E-mail:
doliwa@matman.uwm.edu.pl

ResearchGate Profile:
http://wmii.uwm.edu.pl/~doliwa/
https://www.researchgate.net/profile/Adam-Doliwa

Scientific Discipline:
Mathematics, Mathematical Physics
(In the case of a doctoral dissertation conducted in two academic disciplines, it is permissible to indicate one discipline not represented in the doctoral school.)

Scientific Output Indicators:

  • Number of scientific publications (WoS/Scopus): 58 (WoS)

  • Number of citations (WoS/Scopus) excluding self-citations: 719 (WoS)

  • H-index (WoS/Scopus): 18 (WoS)

  • Number of citations (Google Scholar): 1940

  • H-index (Google Scholar): 23

  • Number of PhD graduates supervised: 1

  • Number of current PhD candidates under supervision: 0

Willingness to Supervise PhD Students:

Polish candidates: Yes
International candidates: Yes

Scientific Interests or Research Topics Offered to Candidates:

  • Quantum walk–based algorithms and orthogonal polynomials

  • Applications of Hopf algebra theory in combinatorics and integrable systems

  • Discrete integrable models based on local Yang–Baxter maps

Funding or Special Equipment Required for the Implementation of the PhD Project:

Are there funds to cover research costs?
Yes (within the framework of statutory research)

Is infrastructure and appropriate resources available in the Laboratory/Department to carry out the planned research tasks?
Yes

ORCID Number:
https://orcid.org/0000-0002-3099-4515

Department/Chair/Institute:
Director of the Institute of Mathematics

Faculty:
Faculty of Mathematics and Computer Science

University:
University of Warmia and Mazury in Olsztyn

Phone:
+48 89 524 60 18

E-mail:
artur@uwm.edu.pl (corrected from “eud.pl” to “edu.pl”)

ResearchGate Profile:
https://www.researchgate.net/profile/Artur-Siemaszko

Scientific Discipline:
Mathematics
(In the case of a doctoral dissertation conducted in two academic disciplines, it is permissible to indicate one discipline not represented in the doctoral school.)

Scientific Output Indicators:

  • Number of scientific publications (WoS/Scopus): 16 (Scopus)

  • Number of citations (WoS/Scopus) excluding self-citations: 58 (Scopus)

  • H-index (WoS/Scopus): 5 (Scopus)

  • Number of citations (Google Scholar): 160

  • H-index (Google Scholar): 8

  • Number of PhD graduates supervised: 0

  • Number of current PhD candidates under supervision: 0

Willingness to Supervise PhD Students:

Polish candidates: Yes
International candidates: Yes

Scientific Interests or Research Topics Offered to Candidates:

  • Topological dynamical systems

  • Ergodic theory

  • Classical and quantum stochastic processes

  • Group theory (modular groups)

Funding or Special Equipment Required for the Implementation of the PhD Project:

Are there funds to cover research costs?
Yes

Is infrastructure and appropriate resources available in the Laboratory/Department to carry out the planned research tasks?
Yes