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SEE Doctoral Studies in Mathematical Sciences Bologna Process and Doctoral Studies in Mathematics at Sofia University Chavdar Lozanov University of Sofia Bologna Process The overarching aim of the Bologna Process is to create a European Higher Education Area (EHEA) based on international cooperation and academic exchange The envisaged European Higher Education Area will: • facilitate mobility of students, graduates and higher education staff; • prepare students for their future careers and for life as active citizens in democratic societies, and support their personal development; • offer broad access to high-quality higher education, based on democratic principles and academic freedom. COUNTRIES PARTICIPATING IN THE PROCESS OF CREATING THE EHEA • • • • • • • • • • • • • • • • Albania Andorra Armenia Austria Azerbaijan Belgium Bosnia and Herzegovina Bulgaria Croatia Cyprus Czech Republic Denmark Estonia Finland France Georgia •Germany •Greece •Holy See •Hungary •Iceland •Ireland •Italy •Latvia •Liechtenstein •Lithuania •Luxembourg •Malta •Moldova •Montenegro •Netherlands •Norway •Poland •Portugal •Romania •Russian Federation •Serbia •Slovak Republic •Slovenia •Spain •Sweden •Switzerland •“the former Yugoslav •Republic of Macedonia” •Turkey •Ukraine •United Kingdom Easily readable and comparable degrees: a qualifications framework of three cycles The objective of the Bologna Process is to structure higher education along three cycles (Bachelor-Master-PhD), converging formerly very diverse higher education structures in Europe and bringing them in line with international standards. In 2005, Ministers adopted an overarching Framework for Qualifications in the European Higher Education Area comprising three cycles and they agreed to develop national qualifications frameworks that are compatible with this overarching framework. National qualifications frameworks describe the qualifications of an education system and how they interlink. They describe what learners should know, understand, and be able to do on the basis of a given qualification, as well as how learners can move from one qualification to another within a system. The self certification report, which is the final stage in the development of national frameworks, demonstrates how the national framework relates to the overarching Framework for Qualifications in the European Higher Education Area. Bergen Communiqué, May 2005 Five core policy areas: The Strategy for the EHEA in a Global Setting encompasses the following five core policy areas: 1. Improving Information on the EHEA; 2. Promoting European Higher Education to enhance its world-wide attractiveness competitiveness; 3. Strengthening Cooperation based on partnership; 4. Intensifying policy dialogue; 5. Furthering recognition of qualifications. Every country in the EHEA should endorse these policy goals and decide on appropriate measures for their implementation, in the light of national priorities. Therefore, the emphases which a specific country will set might justifiably differ those of the next. And, evidently, not all measures and initiatives may be suitable and appropriate to implement for all partner countries and regions. London Communiqué, May 2007 Doctoral Education Doctoral education – generally corresponding to a workload of 3–4 years full time – was introduced to the Bologna Process as the third cycle by Ministers in 2003, when they agreed that: • The core component of doctoral training should be the advancement of knowledge through original research; • Doctoral programmes should promote interdisciplinary training and the development of transferable skills to meet the needs of the wider labour market; • Participants in third cycle programmes should be considered both students and early stage researchers; and • More doctoral candidates should be encouraged to take up research careers within the European Higher Education Area. Third cycle qualification • • • • • • Qualifications that signify completion of the third cycle are awarded to students who: have demonstrated a systematic understanding of a field of study and mastery of the skills and methods of research associated with that field; have demonstrated the ability to conceive, design, implement and adapt a substantial process of research with scholarly integrity; have made a contribution through original research that extends the frontier of knowledge by developing a substantial body of work, some of which merits national or international refereed publication; are capable of critical analysis, evaluation and synthesis of new and complex ideas; can communicate with their peers, the larger scholarly community and with society in general about their areas of expertise; can be expected to be able to promote, within academic and professional contexts, technological, social or cultural advancement in a knowledge based society. Bergen Conference of European Ministers Responsible for Higher Education 19-20 May 2005 SOFIA UNIVERSITY “St. Kliment Ohridski” • Slavic studies • Classical and Modern Philology • History • Philosophy • Law • Journalism • Education • Primary school education • Math and Informatics • Physics • Chemistry • Biology • Economics • Theology • Medicine • Geology - Geography Faculty of Math and Informatics • • • • • • • • Mathematics Applied Mathematics Statistic Informatics Computer Science Software engineering Information Systems Mathematics & Informatics Doctoral Studies FIELD OF STUDY MATHEMATICS Code: Subject 01.01.01. 01.01.02. 01.01.04. 01.01.05. 01.01.06. 01.01.09. 01.01.10. 01.01.11. 01.01.13. Logic Algebra and Number Theory Calculus and Analysis Differential Equations Geometry and Topology Computational Mathematics (Numerical Methods) Probability and Statistics Operations Research Mathematical modelling (Applied Mathematics) Admittance of PhD students: 1. Entrance examination on specific subject (written and oral) An examining committee (board of examiners) – minimum 3 Lecturers having academic rank 2. Entrance examination on foreign language 3. Faculty council appoints director of studies (tutor) Forms of Education: • A. Individual work of PhD students: according to Individual curriculum of the student drawn by the tutor • B. Particular scientific seminars – PhD students present their papers • C. Colloquium of FMI - PhD students meet invited lecturers • D. Exams (doctoral minimums) on: specific subject and foreign language. Some figures for the last six years: Code Subject PhD students Lecturers having academic rank PhD students / Lecturers 01.01.01 Logic 9 6 1,50 01.01.02 Algebra and Number Theory 3 7 0,43 01.01.04 Calculus and Analysis 2 10 0,20 01.01.05 Differential Equations 7 7 1,00 01.01.06 Geometry and Topology 5 10 0,50 01.01.09 Computational Mathematics (Numerical Methods) 3 5 0,60 01.01.10 Probability and Statistics 7 4 1,75 01.01.11 Operations Research 2 5 0,40 01.01.13 Mathematical modelling (Applied Mathematics) 11 27 0,41 Some figures for the last six years : Form of education: Number Full-time form 49 33 External form 13 Unattached (free) form 3 Termination: Number % Defended a thesis Struck off – entitled to defend a thesis Struck off – not entitled to defend a thesis Still studying 49 7 25 2 15 100% 14,3% 51,0% 4,1% 30,6% Number of Papers of PhD students for the last six years: Code Subject Papers published in Bulgaria Papers published abroad Total 01.01.01 Logic 4 5 9 01.01.02 Algebra and Number Theory 5 1 6 01.01.04 Calculus and Analysis 2 0 2 01.01.05 Differential Equations 2 11 13 01.01.06 Geometry and Topology 4 7 11 01.01.09 Computational Mathematics (Numerical Methods) 8 18 26 01.01.10 Probability and Statistics 11 10 21 01.01.11 Operations Research 0 0 0 01.01.13 Mathematical modelling (Applied Mathematics) 4 13 17 Number of PhD students that participate conferences, seminars etc. Code Subject In Bulgaria In other countries 01.01.01 Logic 2 3 01.01.02 Algebra and Number Theory 2 2 01.01.04 Calculus and Analysis 0 0 01.01.05 Differential Equations 3 3 01.01.06 Geometry and Topology 0 5 01.01.09 Computational Mathematics (Numerical Methods) 0 2 01.01.10 Probability and Statistics 0 4 01.01.11 Operations Research 0 0 01.01.13 Mathematical modelling (Applied Mathematics) 3 3 SEE Doctoral Studies in Mathematical Sciences Thank you for the attention! Chavdar Lozanov University of Sofia