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: 0000-0003-3808-5882
Department/Chair/Institute: Chair of Applied Computer Science and Mathematical Modeling
Faculty: Faculty of Mathematics and Computer Science
University: University of Warmia and Mazury
Telephone: +48 784 475 020
Email: matychyn@matman.uwm.edu.pl
Personal Website: uwmopt.github.io
ResearchGate Account: https://www.researchgate.net/profile/Ivan-Matychyn

Academic Discipline:
Mathematics

Academic Achievement Indicators:

  1. Number of Publications (WoS/Scopus): 17 (WoS) / 26 (Scopus)
  2. Number of Citations (WoS/Scopus) Without Self-Citations: 128 (WoS) / 211 (Scopus)
  3. Hirsch Index (WoS/Scopus): 7 (WoS) / 8 (Scopus)
  4. Number of Citations (Google Scholar): 660
  5. Hirsch Index (Google Scholar): 17
  6. Number of Promoted Doctors: –
  7. Number of Supervised Doctoral Students: –

Supervision Availability:

  • Polish Doctoral Student: Yes (1)
  • Foreign Doctoral Student: Yes (1)

Scientific Interests/Research Topics Offered to Candidates:

  1. Fractional Differential Equations (FDE)
  2. Neural FDE in Machine Learning
  3. Reinforcement Learning in Differential Games

Funding and Resources for Doctoral Project:

  1. Is there funding available to cover the cost of research?
    No
  2. Is the infrastructure and adequate resources available in the Laboratory/Chair to serve the planned research tasks?
    Yes

ORCID Number: 0000-0002-1640-2843
Department/Chair/Institute: Chair of Analysis and Differential Equations
Faculty: Faculty of Mathematics and Computer Science
University: University of Warmia and Mazury in Olsztyn
Telephone: +48-663-796-083
Email: vsevolod@matman.uwm.edu.pl
Personal Website: Not provided
ResearchGate Account: https://www.researchgate.net/profile/Vsevolod-Shevchishin

Academic Discipline:
Mathematics

Academic Achievement Indicators:

  1. Number of Publications (WoS/Scopus): Scopus 22
  2. Number of Citations (WoS/Scopus) Without Self-Citations: Scopus 223
  3. Hirsch Index (WoS/Scopus): Scopus 8
  4. Number of Citations (Google Scholar): 661
  5. Hirsch Index (Google Scholar): 14
  6. Number of Promoted Doctors: Not provided
  7. Number of Supervised Doctoral Students: Not provided

Supervision Availability:

  • Polish Doctoral Student: Yes, 1 or 2
  • Foreign Doctoral Student: Yes, 1 or 2

Scientific Interests/Research Topics Offered to Candidates:

  1. Symplectic geometry and topology, Lagrangian submanifolds
  2. Symplectic topology in dimension 4, symplectic mapping class group
  3. 4-dimensional topology, Gromov-Witten and Seiberg-Witten invariants

Funding and Resources for Doctoral Project:

  1. Is there funding available to cover the cost of research?
    Yes
  2. Is the infrastructure and adequate resources available in the Laboratory/Chair to serve the planned research tasks?
    Yes

ORCID Number: 0000-0002-1973-1335
Department/Chair/Institute: Department of the Analysis and Differential Equations
Faculty: Mathematics and Informatics
University: University of Warmia and Mazury in Olsztyn
Tel: 504 894 348
E-mail: borsuk@uwm.edu.pl
ResearchGate Account: Mikhail Borsuk
Academic Discipline: Mathematics

Academic Achievement Indicators:

  1. Number of Publications According to the WoS/Scopus Database: 47
  2. Number of Citations (WoS/Scopus) Without Self-Citations: 50
  3. Hirsch Index (WoS/Scopus): 5
  4. Number of Citations (Google Scholar/ResearchGate): 289 / 385
  5. Hirsch Index (Google Scholar/ResearchGate): 8 / 9
  6. Number of Promoted Doctors: 5
  7. Number of Supervised Doctoral Students: 0

I will take on the supervision of:

a Polish Doctoral Student: Yes (1)
a Foreign Doctoral Student: No

Scientific Interests or Research Topics Offered to Candidates:

Boundary value elliptic problems, linear and nonlinear in nonsmooth domains.

Funds or Special Equipment Required for the Doctoral Project:

  1. Is there funding available to cover the cost of research? Yes
  2. Is the infrastructure and adequate resources available in the Laboratory/Chair to serve the planned research tasks? Yes

Additional Info:

In total, I have 79 scientific publications, including 4 scientific monographs. The first scientific paper was published in 1965, when there was no internet yet.

Scientific Disciplines