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Research

2019/2020
Programme:
Doctoral Programme Mathematics and Physics
Orientation:
Mathematics
Year:
3 year
Semester:
first and second
Kind:
mandatory
ECTS:
60
Language:
slovenian, english
Hours per week – 1. semester:
Lectures
0
Seminar
0
Tutorial
0
Lab
0
Hours per week – 2. semester:
Lectures
0
Seminar
0
Tutorial
0
Lab
0
Content (Syllabus outline)

The student dedicates themself to the research that forms the core of their doctoral studies. This includes a thorough study of closely related research, an exploration of approaches to solving problems, and the identification of underlying assumptions. Through the exploration of special cases, the student gradually acquires the knowledge needed to obtain a general solution to the research problem being addressed in the doctoral dissertation. The student prepares research articles presenting this research. The articles are submitted for publication in reputable scientific journals in the field of research. Within the course students can attend professional meetings.

Readings

Izbira temeljne literature je pomemben del raziskovalnega dela. Študent jo izbere sam z morebitnimi nasveti mentorja.

The identification of relevant literature is an important part of research work. The student identifies the relevant literature themselves, with possible advice from the supervisor.

Objectives and competences

The student solves the proposed problem of the doctoral thesis, and prepares a relevant research articles for submission to scientific journals.

Intended learning outcomes

After the course is completed, a student is able to continue independent research in the field of the doctoral thesis or more widely.

Learning and teaching methods

Individual study and consultations.

Assessment

Grades: pass, fail.

Lecturer's references

M. Mio and A. Simpson. Lukasiewicz mu-calculus. Fundamenta Informaticae, 150(3-4), pp. 317-346, 2017. https://doi.org/10.3233/FI-2017-1472

S. Awodey, C. Butz, A. Simpson and Thomas Streicher. Relating first-order set theories, toposes and categories of classes. Annals of Pure and Applied Logic, 165(2), pp. 428-502, 2014.
https://doi.org/10.1016/j.apal.2013.06.004

A. Simpson. Measure, Randomness and Sublocales. Annals of Pure and Applied Logic, 163(11), pp. 1642-1659, 2012. https://doi.org/10.1016/j.apal.2011.12.014