Branch programme/details

The program Geometry, topology, and global analysis offers to students a broad and deep knowledge in the selected areas. The aim is to train the students to be able to learn and use new scientific achievements, mathematical methods and theories, independently develop and apply them, and present the results at international conferences and meetings. The program prepares students to pursue an academic career at universities, scientific institutes, and also in companies and firms having applied research and development branches.

The programme does not contain specializations.

Admission for studies
Admission for studies will be granted to the applicants, who
• Submitted a complete application form together with all obligatory attachments before the deadline,
• they were granted an entrance examination waiver or they successfully passed the entrance examination,
• they successfully passed the language examination or they got a waiver of it

Invitation to subject entrance examination
The invitation to the subject entrance examination will be sent to those applicants, who
• submitted a complete application together with its obligatory attachments 2,3 and 4 before the deadline,
• paid the application fee,
• did not obtain the confirmation of the waiver of the subject entrance examination before mid-May 2019.The invitation to an entrance examination is delivered through the University Electronic Information System. In mid-May all applicants without a waiver receive an invitation to take the entrance examination from the Faculty of Mathematics and Physics. If the Faculty approves the waiver, the invitation ceases to apply.

Entrance examination
The entrance examination consists of two parts, subject and language one. The subject part of the entrance examination takes the form of a discussion about the chosen study programme. The committee gives the applicant three questions related to the chosen study programme. The committee judges the correctness of the answer, the knowledge of the field and overall readiness for doctoral studies. Each answer is evaluated on the binary Pass/Fail scale. The applicant must obtain three passing grades. If the applicant has chosen one of the thesis topics offered by the faculty and has obtained an approval of a future supervisor, or if the comittee accepts the annotation of the applicant‘s own topic, the applicant will successfully pass the exam with only two passing grades from three questions.
The language entrance examination consists of a written test containing 100 questions (completing gaps in a text, i.e. choosing the correct word for each gap). The exam verifies that the applicant has an adequate command of the English language, i.e. at least at level B2 of the Common European Framework of Reference for Languages (CEFR). This is an equivalent of 50 correct answers.

Admission to Doctoral studies is conditioned by successful completion of a Master's study programme.

Verification method:	entrance exam
Confirmation date (of entrance exam) from:	20.06.2019	Until:	21.06.2019
Alternative date (of entrance exam):	28.06.2019	Until:	28.06.2019

Waiver conditions of the subject entrance examination
The subject entrance examination may be waived for applicants who have chosen one of the thesis topics offered by the faculty and obtained an approval of a future supervisor, and for whom at least one of the following conditions applies:
1. Their work has been recognized in the SVOČ competition in computer science, mathematics, or teaching of mathematics (for study programmes in the fields of Computer Science and Mathematics);
2. their work has been recognized at the Czech-Slovak Student Conference on Physics (for study programmes in the field of Physics);
3. their original scientific work on a relevant topic has been published, or has been accepted for publication, in a reviewed medium indexed by MathSciNet, SCOPUS or ISI Web of Knowledge databases;
4. they have finished a master's study programme in the field of Physics, Computer Science, or Mathematics in the academic year 2018/2019, and their grade in each part of the state final examination is „excellent“ or „very good“ (for study programmes in the field of Physics, Computer Science, and Mathematics);
5. they have gained at least 120 credits in the master's study programme in the field of Physics, Computer Science, or Mathematics in academic years 2018/19 and 2019/20, and their average study grade (according to the Code of Study and Examination, Art. 8, Par. 13) is at most 1.5, where 1=„excellent“, 2=„very good“, and 3=„satisfactory“ (for study programmes in the field of Physics, Computer Science, and Mathematics);
6. they have achieved other remarkable results testifying their ability for doctoral studies.

It is necessary to apply for the waiver and prove that the applicant satisfies some of the above conditions, by no later than May 31, 2019 in case of points 1,2,3,5 and 6, and by June 20 in case of point 4.

Conditions for a language examination waiver
The language examination will be waived if the applicant fulfills at least one of the following waiver conditions:

A. The applicant spent at least two years of his/her previous education at secondary or university level with English as the sole language of instruction in one of the following countries: Australia, Canada, India, Ireland, Malta, New Zealand, South Africa, UK or USA.
B. The applicant does not need to take the language examination of English if (s)he has already passed one of the following exams (in some cases we recognize the exam only with a minimum score or level):
• General State Language Examination in English in the Czech Republic
• examination in English at Charles University, Faculty of Mathematics and Physics
• TOEFL (paper) – 550 points
• TOEFL (computer) – 213 points
• TOEFL (internet) – 80 points
• IELTS – 6.5 points
• Cambridge ESOL CPE
• Cambridge ESOL CAE
• Cambridge ESOL FCE – (Grade A, B, C)
• City & Guilds International ESOL IESOL and ISESOL, expert level
• TELC (The European Language Certificates) – TELC English level C1
• UNIcert – level C1
• Melab – 77 points
• Examination for the Certificate of Proficiency in English (ECPE)
• Test of English for International Communication (TOEIC) – 605 points
• International ESOL and Spoken ESOL – Expert LanguageCert and Mastery LanguageCert

The language examination waiver and the compliance with one of the conditions mentioned above must be requested before April 30, 2019 (or, in exceptional cases, before September 30, 2019).

The graduate has a broad and comprehensive knowledge of theoretical foundations of main mathematical disciplines of the program. He/she is trained to learn and use new scientific achievements, new mathematical methods and theories, to develop them and to apply them, and to present their results at international conferences and meetings. The graduates are very suitable for an academic career at universities, scientific institutes, and also in companies having applied research and development branches. Their education is in particular suitable for applications in mathematical physics.