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List of potential PhD advisors
Jagiellonian University in Kraków is a leading centre for mathematical research in Poland and provides a vibrant and active environment for students from Poland and around the world seeking a PhD degree in mathematics.
In the four-year PhD programme, the doctoral student will work under the supervision of a professor on a research project leading to a PhD degree in mathematics. A teaching program for PhD students consists of advanced lecture courses, research seminars, reading classes, and a doctoral colloquium, and can be further extended by other activities (summer schools etc).
A first degree is required to enter the program. It will usually be a master's degree, but in exceptional cases, a bachelor's degree may suffice.
Every PhD student will be receiving a scholarship (37% of the minimum wage of a professor). The scholarship increases to 57% of the minimal professor's wage after a positive mid-term evaluation conducted after two years.
The mathematical research conducted at the Jagiellonian University covers most fields of modern mathematics. Studentships are in a range of areas in pure mathematics, including algebra, algebraic and analytic geometry, complex analysis, differential equations, dynamical systems, graph theory, functional analysis, and number theory.
For a more detailed description of research areas, see the website of the Institute of Mathematics of the Jagiellonian University.
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Pursuant to § 7 sections 1 and 3 of Resolution No. 91/IX/2021 of the Senate of the Jagiellonian University of 29 September 2021 on: the rules of recruitment for the Doctoral School of Exact and Natural Sciences at the Jagiellonian University in the academic year 2022/2023, the Director of the Doctoral School of Exact and Natural Sciences announces a competition for one doctoral student with a scholarship financed from the research project funds as part of the PhD study programme Mathematics.
Within the National Science Center (Narodowe Centrum Nauki), Preludium BIS 3 project entitled Applications of the Lempert theory, a selection committee set up at the School will conduct recruitment for the PhD study programme Mathematics
The project manager, prof. dr hab. Włodzimierz Zwonek offers an opportunity to complete the PhD studies and prepare the PhD thesisin the following area: Theory of holomorphic functions of several complex variables in the topic Applications of the Lempert theory.
The duration of the project is 48 months. The offered scholarship amounts to approx. PLN 4 140 / month gross (approx. PLN 3 700 / month net) before the mid-term evaluation (up to 24 months) and PLN 4 900 / month gross (approx. PLN 4 400 / month net) after a mid-term evaluation. After the interviews and the evaluation of the candidates, the Chairman of the committee presents a report to the Director containing a list of candidates recommended for admission to the school as part of the research project.
It is planned that the scientific part of the project will be based on the advanced consequences of the Lempert Theorem that is an important result in the theory of holomorphic functions of several complex variables and may go in different directions. It is expected that during the carrying out of the project a numer of results will be obtained that could be derived as direct or less obvious consequences of the Lempert Theorem. In particular it may contain the extension of the Lempert Theorem to a wider class of domains. Other problems that the project would contain are related with theextension property (up to now solved only for the bidisc, strongly linearly convex domains and the symmetrized bidisc). Existing results on the description of the extension sets showed surprisingly close relations with the Lempert Theorem. In particular, it led to a construction of the two-dimensioanl domain that is not convex but the Lempert Theorem holds on it. On the other side, the domain has a finite universal Caratheodory set which makes the domain first (except for the polydisc) in a reasonable class of domains with such a property. The problem whether on could find a description of such domains in a general case seems to be very difficult. Nevertheless, a special case of two-dimensional domains admitting universal sets consisting of three elements seems to me more promising.
In the project relations to different parts of functional analysis, theory of harmonic mappings, Nevanlinna-Pick interpolation problem and von Neumann type inequalities are also possible.
The candidate should have a master's degree in mathematics. It would be optimal if the candidate's thesis was from a complex analysis or a functional analysis, but it is not necessary. More important are achievements during studies, willingness to conduct scientific research and willingness to work on open problems requiring new knowledge in the field of theoretical mathematics, reading mathematical publications and, above all, finding satisfaction from working on the challenges related to solving open mathematical problems.
Detailed terms and procedures of admission - tailored to the specific PhD study programme according to the current Recruitment rules for the specific academic year. In academic year 2022/2023 in accordance with Resolution No 91/IX/2021 of the Senate of the Jagiellonian University of 29 September 2021 concerning: the rules of enrolment to the Doctoral School of Exact and Natural Sciences at the Jagiellonian University in the academic year 2022/2023.
Application documents (required as part of a given education program and resulting from the specificity of a research project): the documents required at the registration stage are analogous to those for regular recruitment, except for the "description of the proposed topic" and "the opinion of a researcher on the consent to cover the doctoral student with scientific supervision", because these requirements were met in the assumptions for the project
