Doctoral School of Mathematics
India
Doctoral School of Mathematics
Doctor of Philosophy (PhD)
Degree program
Doctoral
OH-FRKP/406-3/2007
Doctoral School of Mathematics
English
8 semesters (4 years)
240
1
5
The PhD School in Mathematics of Eötvös Loránd University was founded in 2001. The topics covered by the PhD Program comprise most of pure mathematics, including also combinatorial optimization, computer science, statistical and mathematical physics, as well as most of applied mathematics including the full spectrum of operations research, numerical analysis and statistics.
The goal of this program is to introduce students to high level research in mathematics.
The program is research oriented: apart from attending specialized courses, our students usually start their research work by the end of the first year. Thus by the end of the program they already obtain results which are published (or accepted for publication) in internationally renowned journals. At the end of each year the students report about their research progress. At the end of the second year of studies the students must pass a comprehensive examination.
A master’s degree in mathematics (or in a related field) is a requirement. A reasonable command of English language is also needed (most international certificates will be accepted). Criteria for ranking at the admission procedure will include:
- previous university achievements (examinations, comprehensive examinations, qualification of degree)
- achievements related to previous research work (awards obtained in students’ academic circles, publications in the particular professional area)
- feasibility of the research program
This program is recommended to applicants who have good results from the above aspects.
The program enables students to carry on independent research in mathematics.
Specializations:
- pure mathematics
- applied mathematics
- Didactics of mathematics
The Institute of Mathematics employs close to one hundred full or part time professors working in various fields of mathematics. The advisors of the PhD School are internationally renowned experts of their fields. We collaborate with several research institutes and universities both in and outside Hungary, and regularly have visitors from abroad doing research or giving courses. Of particular interest is the fact that many researchers in the internationally renowned Hungarian school of combinatorics have started their career at our university: for example, the Wolf Prize and Kyoto Prize winner Prof. László Lovász, and the recent Abel Prize winner Prof. Endre Szemerédi is also a graduate of our school. Among former professors of our university one could also recall the Ostrowski Prize winner Prof. Miklós Laczkovich or the Gödel Prize winner Prof. László Babai.
Program requirements
- course work
- research work and annual reports
- comprehensive examination
- at least two reviewed papers, accepted for publication
- thesis
For details, see the table of term-by-term requirements or the overview.
To fulfill the course requirements, courses can be chosen in the following areas, depending on the research interest of the candidate:
- Algebra
- Number Theory
- Real, Complex and Functional Analysis
- Differential Equations, Dynamical Systems
- Partial Differential Equations
- Numerical Analysis
- Stochastics
- Probability and Statistics
- Graph Theory
- Combinatorics
- Operations Research, Optimization
- Geometry
- Topology
- Algorithms, Cryptography
- Set Theory and Mathematical Logic
While many of our former students obtain postdoctoral positions throughout the world, a large number of them get tenure or tenure track positions at universities or research institutes. Some of our students will pursue their research career in the non-academic environment of large international research institutions, tied to high-tech development or to the economic or financial world.
- research mathematician in a research institute
- university professor
- system analyst in a financial institution (bank, investment, insurance)
- high tech industry
- teacher of mathematics
1,910 EUR
3,000 - 5.000 EUR (depending on the research topic)
9000 HUF(non-refundable)
160 EUR (non-refundable)
3,000 - 5.000 EUR (depending on the research topic)
160 EUR (non-refundable)
Yes
01, Sep, 2025
31, May, 2025
No
Entry requirements
A master’s degree in mathematics (or in a related field) is a requirement. A reasonable command of English language is also needed (most international certificates will be accepted). Criteria for ranking at the admission procedure will include:
- previous university achievements (examinations, comprehensive examinations, qualification of degree)
- achievements related to previous research work (awards obtained in students’ academic circles, publications in the particular professional area)
- feasibility of the research program
Language requirements
An internationally accredited language examination is required with at least a B2 CEFR level or equivalent result.
Examples of minimum level accepted:
TOEFL iBT 72 pts
IELTS 5.5
Alternatively, an official certificate issued by the applicant’s previous higher education institution can be accepted, stating that the applicant’s previous education (Bachelor’s or Master’s degree) was completed entirely in English.
| Document | Comment |
| Online application form | - |
| Bachelor-level degree | optional |
| Master-level degree | - |
| Transcript of records | - |
| CV | - |
| Research plan | - |
| Language certificate | - |
| Proof of application fee transfer | - |
| Motivation letter | optional |
| Letter of recommendation | optional |
| Copy of the main pages of the passport | optional |
| Passport photo | optional |
| Medical certificate | optional |
For EU students: for a limited number of students state funded scholarships will be available. For details please contact inter@ttk.elte.hu
For students from eligible (non-EU) countries: it is possible to apply for funding via Stipendium Hungaricum (SH). For details see:
http://www.tka.hu/new/7092/call-for-application—stipendium-hungaricum-scholarship
The application starts at the online application system. Students need to register in the system, fill in the online application form, upload the required documents and follow the instructions during the application process.
As well as applying through the Application system, please do the following:
- Fill out the online application form at https://registration.elte.hu
- Send the saved version of the form to mathinst@cs.elte.hu
- together with the scanned versions of the following documents:
- degree certificates (BSc, MSc), together with English (or Hungarian) translation
- transcript of records (BSc, MSc), together with English (or Hungarian) translation
- CV, containing data about past professional activities (education, employment history), awards, list of publications etc.
- motivation letter, describing main lines of interest within mathematics
- research plan (list one or more potential research topics)
- 2 letters of recommendation by people qualified to judge the applicants professional potentials and/or achievements
- copy of the main page of the passport, together with a passport photo
- copy of the transfer of application fee
- English language certificate, proving reasonable command of the language
- (optional:) name of potential advisor who has agreed to supervise the applicant (please, enclose the letter/e-mail reply of the professor)
- For the entrance examination choose a general area from those listed below and send your choice together with your documents:
A. ALGEBRA / NUMBER THEORY
B. GEOMETRY / TOPOLOGY
C. DISCRETE MATHEMATICS
D. ANALYSIS
E. APPLIED ANALYSIS
F. PROBABILITY / STATISTICS
G. OPERATIONS RESEARCH
H. SET THEORY / MATHEMATICAL LOGIC
A. ALGEBRA / NUMBER THEORY
B. GEOMETRY / TOPOLOGY
C. DISCRETE MATHEMATICS
D. ANALYSIS
E. APPLIED ANALYSIS
F. PROBABILITY / STATISTICS
G. OPERATIONS RESEARCH
H. SET THEORY / MATHEMATICAL LOGIC
Entrance examination and selection process
A written test will be sent (via e-mail) to the applicant, covering basic fields of mathematics. In a limited amount of time the applicant will have to send back the solutions. In some cases a skype interview may follow. For details, see the subjects and conditions of the written entrance exam.
Type of entrance examination: oral and written
Place of entrance examination: online
Further details of selection and evaluation
The ranking is based on a total evaluation of the academic excellence (based on the submitted documents) and the results of the entrance exam
Dr. Tibor JORDÁN
Head of the Doctoral School
Program coordinator
Assoc. Prof. István ÁGOSTON
E-mail: agoston@cs.elte.hu
Program administrator
Ms Klaudia SZALAY
E-mail: szalayk@cs.elte.hu
International coordinator (Faculty of Science)
Mr. Péter MOLNÁR
E-mail: inter@ttk.elte.hu
More information
Website
Faculty of Science
Faculty of Science
Eötvös Loránd University (ELTE) offers more than 60 degree programs in foreign languages in the fields of Education and Psychology, Humanities, Informatics, Law, Social Sciences and Science. Currently, about 2400 international students study at ELTE and the community of international students is growing from year to year. Check out what our international students think and discover the wide-range of opportunities waiting for you at ELTE. Join the growing international community of ELTE.
Eötvös Loránd University (ELTE) offers more than 60 degree programs in foreign languages in the fields of Education and Psychology, Humanities, Informatics, Law, Social Sciences and Science. Currently, about 2400 international students study at ELTE and the community of international students is growing from year to year. Check out what our international students think and discover the wide-range of opportunities waiting for you at ELTE. Join the growing international community of ELTE.
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