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Seminar 1

2019/2020
Programme:
Doctoral Programme Mathematics and Physics
Orientation:
Mathematics
Year:
1 year
Semester:
first and second
Kind:
mandatory
ECTS:
6
Language:
slovenian, english
Hours per week – 1. semester:
Lectures
0
Seminar
1
Tutorial
0
Lab
0
Hours per week – 2. semester:
Lectures
0
Seminar
1
Tutorial
0
Lab
0
Content (Syllabus outline)

The student joins one of the research semiars that are organised at the department. At least once a year, he or she prepares a seminar talk, in which his or her original research results or other results important for his or her research are presented.

Students enrolled in the Mathematics education module can (in agreement with the doctoral mentor) prepare a project directly related to teaching mathematics.

Readings

Študent literaturo izbere v sodelovanju s svojim mentorjem in vodjo seminarja.

The literature is chosen in cooperation with the mentor and the leader of the research seminar.

Objectives and competences

The student, under the supervision of his mentor, by attending the talks of his colleagues and by preparing his own presentation, gains experience in presenting scientific achievements to the general mathematical community.

Intended learning outcomes

Knowledge and understanding: The student will get acquainted with the broader research area and will acquire the skill of preparing a high quality public presentation.

Application: Presenting research results is one of the fundamental missions of a researcher and is essential both, when communicating within the research community as well as in the popularisation of science and dissemination of scientific achievements within general public.

Reflection: Overview of the broader research area, ability of working within a research group, experience of public presentations.

Transferable skills: The ability of presenting research results within the scientific community.

Learning and teaching methods

Individual study and consultations.

Assessment

Seminar talk. Grades: pass, fail.

Lecturer's references

Matej Brešar:
BREŠAR, Matej. Functional identities on tensor products of algebras. Journal of algebra, ISSN 0021-8693, 2016, vol. 455, str. 108-136. [COBISS-SI-ID 17625945]
BREŠAR, Matej. Algebras in which non-scalar elements have small centralizers. Linear and Multilinear Algebra, ISSN 0308-1087, 2015, vol. 63, no. 9, str. 1864-1871. [COBISS-SI-ID 17160537]
BREŠAR, Matej, ŠPENKO, Špela. Functional identities of one variable. Journal of algebra, ISSN 0021-8693, 2014, vol. 401, str. 234-244.[COBISS-SI-ID 16842329]

Miran Černe:
ČERNE, Miran, ZAJEC, Matej. Boundary differential relations for holomorphic functions on the disc. Proceedings of the American Mathematical Society, ISSN 0002-9939, 2011, vol. 139, no. 2, str. 473-484. [COBISS-SI-ID 15710553]
ČERNE, Miran, FLORES, Manuel. On Beurling's boundary differential relation. Israel journal of mathematics, ISSN 0021-2172, 2014, vol. 199, iss. 2, str. 831-840. [COBISS-SI-ID 17144153]
ČERNE, Miran. Beurling's boundary differential relations on multiply connected domains. Journal of mathematical analysis and applications, ISSN 0022-247X. [Print ed.], 2015, vol. 428, iss. 1, str. 544-562. [COBISS-SI-ID 17270873]

Primož Potočnik:BERČIČ, Katja, POTOČNIK, Primož. Two-arc-transitive two-valent digraphs of certain orders. Ars mathematica contemporanea, ISSN 1855-3966. [Tiskana izd.], 2016, vol. 11, no. 1, str. 127-146. [COBISS-SI-ID 1538308036]
POTOČNIK, Primož, WILSON, Stephen. Linking rings structures and semisymmetric graphs: Cayley constructions. European journal of combinatorics, ISSN 0195-6698, 2016, vol. 51, str. 84-98. [COBISS-SI-ID 17462361]
POTOČNIK, Primož, SPIGA, Pablo, VERRET, Gabriel. Bounding the order of the vertex-stabiliser in 3-valent vertex-transitive and 4-valent arc-transitive graphs. Journal of combinatorial theory. Series B, ISSN 0095-8956, 2015, vol. 111, str. 148-180. [COBISS-SI-ID 1537132228]